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DTSTART;TZID=America/Los_Angeles:20190213T161500
DTEND;TZID=America/Los_Angeles:20190213T171500
DTSTAMP:20260412T075021
CREATED:20190110T154812Z
LAST-MODIFIED:20190213T234043Z
UID:1004-1550074500-1550078100@colleges.claremont.edu
SUMMARY:Cracking the Code: Predicting Properties of Material Fracture Networks using Machine Learning (Allon Percus\, CGU)
DESCRIPTION:Understanding how fluid flows through heterogeneous materials\, and how it can make these materials fail\, are among the hardest challenges in materials science.  Experiments and simulations show that flow through subsurface rock is mostly limited to a small subnetwork\, or backbone\, of fractures.  Identifying this backbone would allow for a large speedup in flow and transport simulations\, but the process of identifying it can itself be computationally intensive.  I will discuss a machine learning approach\, developed in a CGU Math Clinic project with Los Alamos National Laboratory\, that rapidly finds relevant subnetworks based on graph structure and training data from simulations.  Time permitting\, I will also describe a method that uses graph convolutional neural networks to predict\, with high accuracy\, how fractures grow in brittle materials.  This provides an automated approach for learning how the fractures can radiate through the material\, and ultimately cause it to fail.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-allon-percus-cgu/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190212T121500
DTEND;TZID=America/Los_Angeles:20190212T131000
DTSTAMP:20260412T075021
CREATED:20181227T132155Z
LAST-MODIFIED:20190120T184543Z
UID:994-1549973700-1549977000@colleges.claremont.edu
SUMMARY:Subgraph statistics (Benny Sudakov\, ETH Zurich)
DESCRIPTION:Given integers $k\,l$  and a graph $G$\, how large can be the fraction of $k$-vertex subsets of $G$ which span exactly $l$ edges?  The systematic study of this very natural  question  was recently initiated by Alon\, Hefetz\, Krivelevich and Tyomkyn who also proposed several interesting conjectures on this topic. \n\nIn this talk we discuss a theorem which proves one of their conjectures and implies an asymptotic version of another.  We also make some first steps towards analogous question for hypergraphs. Our proofs involve some Ramsey-type arguments\, and a number of different probabilistic tools\, such as polynomial anticoncentration inequalities and  hypercontractivity. \nJoint work with M. Kwan and T. Tran.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-benny-sudakov-eth-zurich/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190211T041500
DTEND;TZID=America/Los_Angeles:20190211T171500
DTSTAMP:20260412T075021
CREATED:20190129T225920Z
LAST-MODIFIED:20190214T062202Z
UID:1184-1549858500-1549905300@colleges.claremont.edu
SUMMARY:Community structure in networks: the effect of communities on a preferential attachment model and epidemic spreading (Emily Fischer\, Cornell)
DESCRIPTION:Online social networks and other networks of interest are known to exhibit community structure\, where a community is defined to be a highly interconnected group of nodes with possibly shared traits or features. However\, classic network models\, such as the preferential attachment model\, do not account for community structure. In this talk\, I will present the Community-Aware Preferential Attachment Model (CAPAM)\, which allows the user to specify community structure via edge probabilities. I will show that CAPAM retains desirable properties of the preferential attachment model\, namely a power-law degree distribution\, and further that the multivariate degree distribution is dependent upon the edge probabilities in an interesting way. I will show that community structure also plays a role in epidemic spreading processes. Under the SIS model\, the lifetime of a spreading process is constrained by the structure of the individual communities\, and the epidemic threshold is bounded closely around the threshold associated with the strongest community.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-emily-fisher/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190206T161500
DTEND;TZID=America/Los_Angeles:20190206T171500
DTSTAMP:20260412T075021
CREATED:20190110T154612Z
LAST-MODIFIED:20190214T061816Z
UID:1002-1549469700-1549473300@colleges.claremont.edu
SUMMARY:Algebraic and Polyhedral Perspectives on Combinatorial Neural Codes (Robert Davis\, Harvey Mudd)
DESCRIPTION:In the 1970s\, James O’Keefe and his team observed that certain neurons in the brain\, called place cells\, spike in their firing rates when the animal is in a particular physical location within its arena. If a place cell is thought of as either “active” or “silent\,” then one may represent the co-firing patterns of place cells by a combinatorial neural code: a set of 0/1 vectors whose coordinates represent that status of distinct place cells. From the code\, we can try to reconstruct a geometric picture of the neural activity by sketching a disjoint union of simple closed curves in the plane. Ideally\, each curve corresponds to a unique place cell and the interiors of the curves are convex. However\, this is not always possible\, and identifying criteria which makes this possible is a difficult problem. \nIn this talk\, we will discuss approaches to the problem of representing combinatorial neural codes using convex sets. We will see how turning the codewords into polynomials can reveal hidden information about the code\, and how this naturally leads to examining properties of related polyhedra. In particular\, we will present progress on using polyhedra to identify representability of a code with circles in the plane.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-robert-davis-harvey-mudd/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190205T121500
DTEND;TZID=America/Los_Angeles:20190205T131000
DTSTAMP:20260412T075021
CREATED:20181205T171033Z
LAST-MODIFIED:20190123T223504Z
UID:963-1549368900-1549372200@colleges.claremont.edu
SUMMARY:Lattices from group frames and vertex transitive graphs (Lenny Fukshansky\, CMC)
DESCRIPTION:Tight frames in Euclidean spaces are widely used convenient generalizations of orthonormal bases. A particularly nice class of such frames is generated as orbits under irreducible actions of finite groups of orthogonal matrices: these are called irreducible group frames. Integer spans of rational irreducible group frames form Euclidean lattices with some very nice geometric properties\, called strongly eutactic lattices. We discuss this construction\, focusing on an especially interesting infinite family in arbitrarily large dimensions\, which comes from vertex transitive graphs. We demonstrate several examples of such lattices from graphs that exhibit some rather fascinating properties. This is joint work with D. Needell\, J. Park and J. Xin.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-lenny-fukshansky-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190204T161500
DTEND;TZID=America/Los_Angeles:20190204T171500
DTSTAMP:20260412T075021
CREATED:20181008T181051Z
LAST-MODIFIED:20190117T015941Z
UID:895-1549296900-1549300500@colleges.claremont.edu
SUMMARY:Estimating the physical location of Twitter users with the von Mises-Fisher distribution (Mike Izbicki\, UC Riverside)
DESCRIPTION:Approximately 500 million tweets are sent everyday.  Scientists monitor these tweets to predict the spread of disease\, better allocate social welfare services\, help first responders during natural disasters\, and many other important tasks.  A key step in each of these tasks is estimating the location the tweet was sent from.  In\nthis talk\, I discuss how to combine machine learning and the von Mises-Fisher distribution to estimate this location.  The von Mises-Fisher distribution is the spherical analog of the Gaussian distribution\, and this distribution lets us exploit the earth’s non-Euclidean geometry to improve estimation accuracy.
URL:https://colleges.claremont.edu/ccms/event/tba-mike-izbicki-uc-riverside/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190202T100000
DTEND;TZID=America/Los_Angeles:20190202T120000
DTSTAMP:20260412T075021
CREATED:20190115T195645Z
LAST-MODIFIED:20190115T195645Z
UID:1104-1549101600-1549108800@colleges.claremont.edu
SUMMARY:GEMS Workshop: Graph Theory\, Part I with Professor Michael Orrison\, from Harvey Mudd College
DESCRIPTION:TOPIC: Graph Theory\, Part I \nOn the surface\, graphs seem to be some of the simplest objects you might encounter in mathematics. After all\, they are made up of just two kinds of parts\, vertices and edges\, and those parts fit together in simple ways. But appearances can be deceiving! In this series of two workshops\, we’ll explore several surprising facts about graphs. Along the way\, we’ll see how graphs arise in a variety of settings\, and how they give rise to many challenging but worthwhile problems. \nWHAT IS GEMS: \nThe Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science \nGEMS meets once a month on a Saturday morning from 10:00 AM to 12:00 PM \nGEMS is designed to reach 8th\, 9th and 10th grade students who have an interest in mathematics and science \nParticipants interact with excellent and award winning faculty\, staff\, students and alumni from each of the seven Claremont Colleges \nSPRING 2019 DATES: \nFebruary 2\, 2019 \nMarch 2\, 2019 \nApril 13\, 2019 \nREGISTRATION: \nTo register for our next event on February 2\, please click on the following link: \nhttps://tinyurl.com/GEMS2019Spring1 \nANY QUESTIONS: \nPlease contact our 2018-2019 GEMS coordinator\, Elsa Harris at Elsa.Harris@cgu.edu
URL:https://colleges.claremont.edu/ccms/event/gems-workshop-graph-theory-part-i-with-professor-michael-orrison-from-harvey-mudd-college/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Elsa Harris":MAILTO:elsa.harris@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190131T123000
DTEND;TZID=America/Los_Angeles:20190131T133000
DTSTAMP:20260412T075021
CREATED:20190127T185244Z
LAST-MODIFIED:20190127T185524Z
UID:1168-1548937800-1548941400@colleges.claremont.edu
SUMMARY:The Roger-Yang Arc Algebra (Helen Wong\, CMC)
DESCRIPTION:  \nBased on geometric considerations\, J. Roger and T. Yang in 2014 defined a version of the Kauffman bracket skein algebra for punctured surfaces that includes arcs going from puncture to puncture. We’ll provide a brief survey of known results about this arc algebra. In particular\, I’d like to mention a recent algebraic result whose proof uses  “generalized” corner coordinates to describe arcs on a triangulated surface. This is joint work with Han-bom Moon. \n 
URL:https://colleges.claremont.edu/ccms/event/the-roger-yang-arc-algebra/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190130T161500
DTEND;TZID=America/Los_Angeles:20190130T171500
DTSTAMP:20260412T075021
CREATED:20190110T154412Z
LAST-MODIFIED:20190123T163658Z
UID:1000-1548864900-1548868500@colleges.claremont.edu
SUMMARY:Mathematics: Pure\, Applied\, A Liberal Art ( Al Erisman\, Seattle Pacific University)
DESCRIPTION:From the view of a pure mathematician\, those working in pure mathematics produce pure knowledge. Whether used or not\, it has a great elegance and value in and of itself. Those in applied mathematics simply pick up what has been done and use it in designing or building things. Number theory is often used to illustrate this\, where work done decades ago in pure mathematics is now central to encryption. \nHowever\, the relationship between pure and applied mathematics is a bit more complicated. New insights drawn from applications have been at the root of interesting new areas and questions in pure mathematics. Fourier analysis\, sparse matrix computation\, and graph theory all demonstrate this. \nSome have argued that\, whether pure or applied\, mathematics is not really needed by the average person. Alfred North Whitehead\, a Harvard mathematician and philosopher\, once stated\, “ideas [from mathematics] are of highly specialized application\, and rarely influence thought.” In other words\, mathematics is a specialized skill\, but not a liberal art. \nUsing examples from n-dimensional linear algebra\, I will show why I believe the areas of pure and applied mathematics are deeply tied\, and that this field does indeed influence thought in areas like understanding relationships and political discourse.
URL:https://colleges.claremont.edu/ccms/event/mathematics-pure-applied-a-liberal-art-al-erisman-seattle-pacific-university/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190129T121500
DTEND;TZID=America/Los_Angeles:20190129T131000
DTSTAMP:20260412T075021
CREATED:20181130T222530Z
LAST-MODIFIED:20181130T222530Z
UID:961-1548764100-1548767400@colleges.claremont.edu
SUMMARY:Discrete compressed sensing: lattices and frames (Josiah Park\, Georgia Tech)
DESCRIPTION:Lattice valued vector systems have taken an important role in packing\, coding\, cryptography\, and signal processing problems.  In compressed sensing\, improvements in sparse recovery methods can be reached with an additional  assumption that the signal of  interest is lattice  valued\, as demonstrated by A.  Flinth  and G. Kutyniok. Equiangular  tight  frames are  particular systems  of unit  vectors  with minimal  coherence\,  a measure of how well distributed the vectors are\, and have provable guarantees for recovery of sparse vectors in standard methods.  The determination whether real equiangular tight frames have integer span on a lattice has been given a characterization within two papers by A. Bottcher\, L. Fukshansky\, one with S. R. Garcia\, H. Maharaj and D. Needell.  Here the corresponding question is considered for the complex case and several families are demonstrated to have either integer span on a lattice or not.  In addition\, it is demonstrated that a real Parseval tight frame can have integer span on a lattice if and only if the inner products appearing in the system are rational.  (Collaboration with L. Fukshansky\, D. Needell\, and Y. Xin)
URL:https://colleges.claremont.edu/ccms/event/discrete-compressed-sensing-lattices-and-frames-josiah-park-georgia-tech/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190128T161500
DTEND;TZID=America/Los_Angeles:20190128T171500
DTSTAMP:20260412T075021
CREATED:20190109T192745Z
LAST-MODIFIED:20190117T020332Z
UID:996-1548692100-1548695700@colleges.claremont.edu
SUMMARY:Applied Math Seminar Organizational Meeting
DESCRIPTION:We will have an organizational meeting for the applied math seminar at 4:15pm in Emmy Noether Rm\, Millikan 1021\, Pomona on 1/28  (Monday). Anyone who in interested in suggesting speakers and/or organizing applied math seminar is welcome to come. 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-organizational-meeting/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190126T093000
DTEND;TZID=America/Los_Angeles:20190126T173000
DTSTAMP:20260412T075021
CREATED:20190123T055731Z
LAST-MODIFIED:20190123T224907Z
UID:1131-1548495000-1548523800@colleges.claremont.edu
SUMMARY:Claremont Math Weekend 2019
DESCRIPTION:On Saturday January 26th\, Claremont Math Faculty will present 30 minute talks on their research. The goal of these presentations is to expose students\, both graduate and undergraduate\, to various areas of mathematics and applications that Claremont mathematicians are researching.  Faculty presenters will provide Claremont Colleges course titles and descriptions that are related to their research topics at the end of their talks. \nBreakfast\, lunch\, and refreshments will be provided. \nPlease use free registration link:\nhttps://www.eventbrite.com/e/claremont-math-weekend-2019-tickets-55086326686 \n  \nProgram:\n    9:30 – 10:00  Registration\, Breakfast\n   10:00 – 10:10  Marina Chugunova\, “What is CCMS?  Opening remarks”\n   10:10 – 10:40  Asuman Aksoy\, “A characterization of compact linear mapping”\n   10:40 – 11:10  Yesim Demiroglu\, “Cayley digraphs of matrix rings over finite fields”\n   11:10 – 11:25  Coffee break\n   11:25 – 11:55  Adolfo Rumbos\, “Applications of critical point theory to the theory of differential equations”\n   11:55 – 12:25  Jeho Park\, “The New Quantitative and Computing Lab: connecting dots through mentoring\, training\, and consulting”\n   12:25 – 2:00   Lunch\n   2:00  – 2:30   Ami Radunskaya\, “Does noise help or hurt?”\n   2:30 –  3:00   Alfonso Castro\, “Infinitely many radial solutions for a super-cubic Kirchhoff equation”\n   3:00  – 3:15   Coffee break\n   3:15  – 3:45   Chiu-Yen Kao\, “Frequency control of rods and plates”\n   3:45  – 4:15   Qidi Peng\, “Graph coloring and distributed mode selection for FDD communication in multihop wireless networks”\n   4:15  – 4:45   Lenny Fukshansky\, “An algebraic approach to integer sparse recovery”\n   4:45  – 5:30   Wine and Cheese
URL:https://colleges.claremont.edu/ccms/event/claremont-math-weekend-2019/
LOCATION:Pryne Auditorium\, Galileo Hall\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Claremont Math Weekend
ORGANIZER;CN="Marina Chugunova":MAILTO:Marina.Chugunova@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190124T120000
DTEND;TZID=America/Los_Angeles:20190124T133000
DTSTAMP:20260412T075021
CREATED:20190113T145840Z
LAST-MODIFIED:20190115T051329Z
UID:1066-1548331200-1548336600@colleges.claremont.edu
SUMMARY:Simplicial Complexes\, Configuration Spaces\, and "Chromatic" Invariants (Andrew Cooper\, NC State)
DESCRIPTION:Given a space $X$\, the configuration space $F(X\,n)$ is the space of possible ways to place $n$ points on $X$\, so that no two occupy the same position. But what if we allow some of the points to coincide? \nThe natural way to encode the allowed coincidences is as a simplicial complex $S$. I will describe how the configuration space $M(S\,X)$ obtained in this way gives rise to polynomial and homological invariants of $S$\, how those invariants are related to the cohomology ring $H^*(X)$\, and what this has to do with the topology of spaces of maps into $X$. \nI will also mention some potential applications of this structure to problems arising from international relations and economics. \nThis is joint work with Vin de Silva\, Radmila Sazdanovic\, and Robert J Carroll
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-1-24-2019-andrew-cooper-nc-state/
LOCATION:Roberts North 104\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190123T161500
DTEND;TZID=America/Los_Angeles:20190123T171500
DTSTAMP:20260412T075021
CREATED:20190115T082247Z
LAST-MODIFIED:20200114T161552Z
UID:1096-1548260100-1548263700@colleges.claremont.edu
SUMMARY:CCMS Field Committee Meeting
DESCRIPTION:The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2019-2020).\n\nPlease come to discuss course offerings and other synergistic items.\n\nRefreshments at 4:00\, meeting at 4:15.
URL:https://colleges.claremont.edu/ccms/event/ccms-field-committee-meeting/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190122T121500
DTEND;TZID=America/Los_Angeles:20190122T131000
DTSTAMP:20260412T075021
CREATED:20190112T013635Z
LAST-MODIFIED:20190113T053629Z
UID:1045-1548159300-1548162600@colleges.claremont.edu
SUMMARY:Niebrzydowski tribrackets and algebras (Sam Nelson\, CMC)
DESCRIPTION:In this talk we will survey recent work on Niebzydowski Tribrackets and Niebrydowski Algebras\, algebraic structures related to region colorings the planar complements of knots and trivalent spatial graphs.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sam-nelson-cmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181212T161500
DTEND;TZID=America/Los_Angeles:20181212T171500
DTSTAMP:20260412T075021
CREATED:20180928T171648Z
LAST-MODIFIED:20181206T172649Z
UID:855-1544631300-1544634900@colleges.claremont.edu
SUMMARY:Defining Ada: On The Legacy of Augusta Ada Byron King Lovelace (Gizem Karaali\, Pomona College)
DESCRIPTION:Abstract: Augusta Ada\, Countess of Lovelace\, is today viewed as the rst person to recognize the\npower of algorithmic machines and a pioneer in computer programming. Her biographers have often\ndisagreed on her mathematical talents\, her mathematical contributions\, and her legacy. In this talk\nI explore the various approaches taken towards her\, focusing explicitly on how the men in her life\nhave been used to dene her. I conclude with some thoughts on Adas impact and legacy. problems.
URL:https://colleges.claremont.edu/ccms/event/gizem-karaali-pomona-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181211T121500
DTEND;TZID=America/Los_Angeles:20181211T131000
DTSTAMP:20260412T075021
CREATED:20181017T000951Z
LAST-MODIFIED:20181205T171813Z
UID:915-1544530500-1544533800@colleges.claremont.edu
SUMMARY:The Bateman—Horn conjecture II:  applications (Stephan Garcia\, Pomona)
DESCRIPTION:We begin with a review of the Bateman—Horn conjecture\, which sheds light on the intimate relationship between polynomials and prime numbers.  In this expository talk\, we survey a host of applications of the conjecture.  For example\, Landau’s conjecture\, the twin prime conjecture\, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture.  Moreover\, the conjecture also illuminates the mysterious patterns observed in the Ulam spiral.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-stephan-garcia-pomona/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181210T161500
DTEND;TZID=America/Los_Angeles:20181210T171500
DTSTAMP:20260412T075021
CREATED:20180921T221142Z
LAST-MODIFIED:20181116T192815Z
UID:562-1544458500-1544462100@colleges.claremont.edu
SUMMARY:Transfinite $\zeta$-metrics (Zair Ibragimov\, CMC)
DESCRIPTION:I will discuss the concept of transfinite ζ-metrics. In some details I will discuss transfinite Apollonian metric in the settings of semi-metric spaces. I will discuss specific examples of domains where the transfinite Apollonian metric can be computed explicitly. This is a preliminary work.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-ibragimov-zair-cmc/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181208T100000
DTEND;TZID=America/Los_Angeles:20181208T120000
DTSTAMP:20260412T075021
CREATED:20181002T040036Z
LAST-MODIFIED:20181113T061215Z
UID:888-1544263200-1544270400@colleges.claremont.edu
SUMMARY:GEMS Workshop: Exploring the fascinating world of prime numbers\, Part II with Professor  Adolfo Rumbos\, from Pomona College.
DESCRIPTION:TOPIC: Exploring the fascinating world of prime numbers\, Part II \nThe study of patterns in the sequence of prime numbers has fascinated mathematicians for centuries.  Are there formulas that generate prime numbers?  Are there patterns in the distribution of prime numbers and the distribution of gaps between consecutive primes?  In this series of two workshops\, beginning with the proof of the infinitude of the primes and modular arithmetic\, we explore some facts about prime numbers\, solve some puzzles related to primes\, and survey a few of the questions that are still unsolved. \nWHAT IS GEMS: \nThe Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science \nGEMS meets once a month on a Saturday morning from 10:00 AM to 12:00 PM \nGEMS is designed to reach 8th\, 9th and 10th grade students who have an interest in mathematics and science \nParticipants interact with excellent and award winning faculty\, staff\, students and alumni from each of the seven Claremont Colleges \nFALL 2018 DATES: \nOctober 6\, 2018 \nNovember 3\, 2018 \nDecember 8\, 2018 \nREGISTRATION: \nTo register for our next event on December 8\, please click on the following link: \nhttps://tinyurl.com/GEMS2018Fall3 \nANY QUESTIONS: \nPlease contact our 2018-2019 GEMS coordinator\, Elsa Harris at Elsa.Harris@cgu.edu
URL:https://colleges.claremont.edu/ccms/event/gems-workshop-speaker-will-be-announced-soon-2/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Elsa Harris":MAILTO:elsa.harris@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181205T161500
DTEND;TZID=America/Los_Angeles:20181205T171500
DTSTAMP:20260412T075021
CREATED:20180928T171556Z
LAST-MODIFIED:20181129T192838Z
UID:853-1544026500-1544030100@colleges.claremont.edu
SUMMARY:The kissing number and related problems (Oleg Musin\, University of Texas Rio Grande Valley)
DESCRIPTION:Abstract: \nThe kissing number problem asks for the maximal number k(n) of equal size nonoverlapping spheres in n-dimensional space that can touch another sphere of the same size. This problem in dimension three was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. In three dimensions the problem was finally solved only in 1953 by Schutte and van der Waerden. In this talk we are going to give an overview of this problem and to present our solution of a long-standing problem about the kissing number in four dimensions. We are also going to discuss Tammes’ problem and other optimal sphere packings problems.
URL:https://colleges.claremont.edu/ccms/event/oleg-musin-university-of-texas-rio-grande-valley/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181204T121500
DTEND;TZID=America/Los_Angeles:20181204T131000
DTSTAMP:20260412T075021
CREATED:20180817T150812Z
LAST-MODIFIED:20181116T225428Z
UID:441-1543925700-1543929000@colleges.claremont.edu
SUMMARY:Sperner's lemma: generalizations and applications (Oleg Musin\, UT Rio Grande Valley)
DESCRIPTION:The classical Sperner –  KKM (Knaster – Kuratowski – Mazurkiewicz) lemma has many applications  in combinatorics\, algorithms\, game theory and mathematical economics. In this talk we consider generalizations of this lemma as well as Gale’s colored KKM lemma and Shapley’s KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions. These generalizations of Sperner’s lemma rely on homotopy invariants of covers  that in fact are obstructions for extending a cover of a subspace A in X to a cover of  X.
URL:https://colleges.claremont.edu/ccms/event/tba-2/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181203T161500
DTEND;TZID=America/Los_Angeles:20181203T171500
DTSTAMP:20260412T075021
CREATED:20180921T215624Z
LAST-MODIFIED:20181106T161858Z
UID:560-1543853700-1543857300@colleges.claremont.edu
SUMMARY:A Martingale Approach to the Question of Fiscal Stimulus (Michael Imerman\, CGU)
DESCRIPTION:Joint work with Larry Shepp & Philip Ernst \nIn this paper we develop a mathematical model to address an ongoing politico-economic debate between Democrats and Republicans. Democrats in the US say that government spending can be used to “grease the wheels’ of the economy\, create wealth\, and increase employment; the Republicans say that government spending is wasteful\, discourages investment\, and so increases unemployment. These arguments cannot both be correct\, but both arguments seem meritorious. We address this economic question of fiscal stimulus as a new optimal control problem extending the model of Radner-Shepp (1996). A unique solution is found using traditional martingale methods for stochastic optimization along with a numerical procedure to solve a non-homogeneous ODE as the root of an implicit function. Specifically\, we find that there exists an optimal strategy with interesting mathematical properties.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-michael-imerman-cgu/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20181201
DTEND;VALUE=DATE:20181202
DTSTAMP:20260412T075021
CREATED:20181103T190323Z
LAST-MODIFIED:20181103T190323Z
UID:939-1543622400-1543708799@colleges.claremont.edu
SUMMARY:Workshop on Nonlinear Analysis
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/workshop-on-nonlinear-analysis/
LOCATION:Shanahan\, concert hall
ORGANIZER;CN="Alfonso Castro":MAILTO:castro@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181128T161500
DTEND;TZID=America/Los_Angeles:20181128T171500
DTSTAMP:20260412T075021
CREATED:20180928T171407Z
LAST-MODIFIED:20181115T191108Z
UID:851-1543421700-1543425300@colleges.claremont.edu
SUMMARY:Convolutional Dictionary Learning for Tomographic Reconstruction (Cristina Garcia-Cardona\, LANL)
DESCRIPTION:Convolutional sparse representation is an efficient tool for computing sparse representations for entire signals in terms of sums of a set of convolutions with dictionary filters. Unlike representations that are based on overlapping image patches\, the convolutional representation optimizes over the entire image\, yielding representations that are very sparse both spatially and across the filters. This technique has been successfully applied to natural images\, video and speech in tasks as diverse as denoising\, classification or superresolution. In this work\, we develop a convolutional dictionary learning framework for tomographic reconstruction. We apply the technique to simulated parallel beam tomography data and show that its performance is comparable to the state-of-the-art reconstruction techniques.
URL:https://colleges.claremont.edu/ccms/event/cristina-garcia/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181127T121500
DTEND;TZID=America/Los_Angeles:20181127T131000
DTSTAMP:20260412T075021
CREATED:20181002T061007Z
LAST-MODIFIED:20190115T082646Z
UID:892-1543320900-1543324200@colleges.claremont.edu
SUMMARY:Weil sums of binomials: properties and applications (Daniel Katz\, CSUN)
DESCRIPTION:We consider sums in which an additive character of a finite field F is applied to a binomial whose individual terms (monomials) become permutations of F when regarded as functions.  These Weil sums characterize the nonlinearity of power permutations of interest in cryptography.  They also tell us about the correlation of linear recursive sequences over finite fields that are used in digital communications and remote sensing.  In these applications\, one is interested in the spectrum of Weil sum values that are obtained as the coefficients in the binomial are varied.  We discuss topics of enduring interest: Archimedean and non-Archimedean bounds on the sums\, the number of values in the spectrum\, and the presence or absence of zero in the spectrum.  We indicate some important open problems and discuss progress that has been made on them.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-talk-by-daniel-katz-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181126T161500
DTEND;TZID=America/Los_Angeles:20181126T171500
DTSTAMP:20260412T075021
CREATED:20181124T043635Z
LAST-MODIFIED:20181124T043635Z
UID:958-1543248900-1543252500@colleges.claremont.edu
SUMMARY:A renormalization approach to existence of the blow-up solutions of the Navier-Stokes equations (Denis Gaidashev\, Uppsala University\, Sweden)
DESCRIPTION:The Navier-Stokes existence and smoothness problem is one of the most important open problems in modern mathematics.   Ya. Sinai and D. Li have proposed a renormalization approach to constructing a counter-example to existence. In this approach\, existence of  a blow-up solution (a solution whose energy becomes infinite in finite time) is equivalent to existence of fixed point of an appropriate operator in some functional space.  We will explain a computer assited technique which can be conjecturally used to prove existence of such a fixed point for 3D NS equations\, and describe our numerical evidence for a fixed point in the setting of a 1D version of NS.
URL:https://colleges.claremont.edu/ccms/event/a-renormalization-approach-to-existence-of-the-blow-up-solutions-of-the-navier-stokes-equations-denis-gaidashev-uppsala-university-sweden/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181121T161500
DTEND;TZID=America/Los_Angeles:20181121T171500
DTSTAMP:20260412T075021
CREATED:20181030T210551Z
LAST-MODIFIED:20181030T210551Z
UID:927-1542816900-1542820500@colleges.claremont.edu
SUMMARY:No colloquium (Thanksgiving week)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/no-colloquium-thanksgiving-week/
LOCATION:CA
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181119T161500
DTEND;TZID=America/Los_Angeles:20181119T171500
DTSTAMP:20260412T075021
CREATED:20180808T225017Z
LAST-MODIFIED:20181109T020610Z
UID:422-1542644100-1542647700@colleges.claremont.edu
SUMMARY:Turing mechanism for homeostatic control of synaptic density during C. elegans growth (Heather Zinn Brooks\, UCLA)
DESCRIPTION:It has been observed that motor neuron synapses in the worm C. elegans are remarkably evenly spaced\, even during growth and development. In this work\, we propose a novel mechanism for Turing pattern formation that provides a possible explanation for the regular spacing of synapses along the ventral cord of C. elegans during development. The model consists of two interacting chemical species\, where one is passively diffusing and the other is actively trafficked by molecular motors; we identify the former as the kinase CaMKII and the latter as the glutamate receptor GLR-1. We use linear stability analysis to derive conditions on the associated nonlinear interaction functions for which a Turing instability can occur. We find that the dimensionless quantity $\gamma$\, the ratio of switching rate and diffusion coefficient to motor transport velocity\, must be sufficiently small for patterns to emerge. One consequence is that patterns emerge outside the parameter regime of fast switching where the model effectively reduces to a two component reaction-diffusion system. Furthermore\, these patterns are also maintained during domain growth. We discuss selection and stability of patterns for this mechanism in both 1- and 2-dimensional domains.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-dr-heather-zinn-brooks-ucla/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181114T161500
DTEND;TZID=America/Los_Angeles:20181114T171500
DTSTAMP:20260412T075021
CREATED:20180928T171315Z
LAST-MODIFIED:20181109T164101Z
UID:849-1542212100-1542215700@colleges.claremont.edu
SUMMARY:Coupled Mechanochemical Multiscale Model to Study the Growth Regulation and Morphogenesis during Tissue Development (Weitao Chen\, UCR)
DESCRIPTION:Growth regulation and pattern formation are two main problems in developmental biol-\nogy. How cells know when to stop growing at certain tissue size with specic shape is an important\nquestion in both developmental biology and regenerative medicine\, and it is still an unsolved mystery\nin many systems. During the growth\, tissues and organs always exhibit self-government to some\nextent. Cells stop proliferation precisely when the intended size of the tissue or organ is achieved.\nMeanwhile\, dierential cell shapes in space are integrated to give rise to well-organized overall struc-\nture. Uncontrolled growth of the cells in tissues or organs will lead to abnormal development or\nfatal diseases such as cancer. Therefore\, developing an extensible predictive mathematical model\nfor exploring the mechanisms involved in the tissue development is signicant for understanding\nthe fundamental principles in developmental biology\, with a broad range of applications from tissue\nengineering to biomanufacturing and biotech industry. Experimental data suggests that mechanical\nproperties of cells and chemical signals in both intracellular and extracellular domains play critical\nroles in size control and shape formation. Here we develop a multiscale\, mechochemical coupled\nmodel of tissue growth control. This rst-of-class modeling approach provides sub-cellular details\nto both mechanical properties and chemical signaling during tissue growth. This model is applied\nto test competing hypotheses in the eld to resolve the highly debated question of how tissues reach\ntheir nal size\, as well as how the tissue shape is determined simultaneously.
URL:https://colleges.claremont.edu/ccms/event/weitao-chen-ucr/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181113T121500
DTEND;TZID=America/Los_Angeles:20181113T131000
DTSTAMP:20260412T075021
CREATED:20180912T174329Z
LAST-MODIFIED:20181105T225953Z
UID:551-1542111300-1542114600@colleges.claremont.edu
SUMMARY:Cayley digraphs of matrix rings over finite fields (Yesim Demiroglu\, HMC)
DESCRIPTION:In this talk we use the unit-graphs and the special unit-digraphs on matrix rings to show that every n x n nonzero matrix over F_q can be written as a sum of two SL_n-matrices when n>1. We compute the eigenvalues of these graphs in terms of Kloosterman sums and study their spectral properties; and prove that if X is a subset of Mat_2 (F_q) with size |X| > (2 q^3 \sqrt{q})/(q – 1)\, then X contains at least two distinct matrices whose difference has determinant $\alpha$ for any $\alpha \in F_q^*$. Using this result we also prove a sum-product type result: if $A\,B\,C\,D \subseteq F_q$ satisfy $\sqrt[4]{|A||B||C||D|}= \Omega (q^{0.75})$ as q tends to infinity\, then $(A – B)(C – D)$ equals all of $F_q$. In particular\, if A is a subset of F_q with cardinality $|A| > \frac{3}{2} q^{3/4}$\, then the subset $(A – A) (A – A)$ equals all of $F_q$. We also recover a classical result: every element in any finite ring of odd order can be written as the sum of two units. This talk should be accessible to undergraduates with some background in linear algebra.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-yesim-demiroglu-hmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
END:VCALENDAR