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DTSTART;TZID=America/Los_Angeles:20181103T100000
DTEND;TZID=America/Los_Angeles:20181103T120000
DTSTAMP:20260508T055256
CREATED:20181002T034850Z
LAST-MODIFIED:20181020T192824Z
UID:884-1541239200-1541246400@colleges.claremont.edu
SUMMARY:GEMS Workshop: Exploring the fascinating world of prime numbers\, Part I with Professor  Adolfo Rumbos\, from Pomona College.
DESCRIPTION:TOPIC: Exploring the fascinating world of prime numbers\, Part I \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 November 3\, 2018 please click on the following link: \nhttps://tinyurl.com/GEMS2018Fall2 \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/
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:20181105T161500
DTEND;TZID=America/Los_Angeles:20181105T171500
DTSTAMP:20260508T055256
CREATED:20180808T152839Z
LAST-MODIFIED:20181021T054250Z
UID:416-1541434500-1541438100@colleges.claremont.edu
SUMMARY:CFTP: the algorithm ERGM deserves\, but not the one it needs right now (Matt Moores\, University of Wollongong)
DESCRIPTION:The exchange algorithm enables Bayesian posterior inference for models with intractable likelihoods\, such as Ising\, Potts\, or exponential random graph models (ERGM). Crucially\, this algorithm relies on an auxiliary Markov chain to obtain an unbiased sample from the generative distribution of the model.             It was originally proposed to use coupling from the past (CFTP) for this purpose\, but this requires the Markov chain to be uniformly ergodic. In the case of the Ising model\, coupling time increases super-exponentially for parameter values larger than the critical point. Alternatives to CFTP\, such as perfect slice sampling or bounding chains for Swendsen-Wang\, have been proposed for the Ising model. However\, there are currently no suitable alternatives for ERGM\, which also features a phase transition that can cause problems with convergence. This talk will review some recent work on simulation algorithms for ERGM and discuss how this problem might be addressed.\n\nThis is joint work with Kerrie Mengersen and Chris Drovandi (QUT\, Australia)\, Antonietta Mira (USI Lugano\, Switzerland)\, and Alberto Caimo (Dublin Inst. Tech.\, Ireland).
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-talk-title-tba/
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:20181106T121500
DTEND;TZID=America/Los_Angeles:20181106T131000
DTSTAMP:20260508T055256
CREATED:20180911T214141Z
LAST-MODIFIED:20181102T201125Z
UID:537-1541506500-1541509800@colleges.claremont.edu
SUMMARY:Turning probability into polynomials (Mark Huber\, CMC)
DESCRIPTION:Moment generating functions (Laplace transforms) are a means for transforming probability problems into problems involving polynomials.  Here I will concentrate on the binomial distribution\, and use the mgf to link this distributions probabilities directly to the binomial theorem.  The mgf is also a key ingredient in Chernoff bounds\, which give upper bounds on the tail probabilities of binomial distributions (aka partial sums of the binomial theorem).  By employing the method of smoothing and tilting\, it is possible to attain bounds on the tails that go down faster than the traditional approximation heuristic that uses the Central Limit Theorem.
URL:https://colleges.claremont.edu/ccms/event/talk-by-mark-huber-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:20181107T161500
DTEND;TZID=America/Los_Angeles:20181107T171500
DTSTAMP:20260508T055256
CREATED:20180928T171215Z
LAST-MODIFIED:20181102T194937Z
UID:847-1541607300-1541610900@colleges.claremont.edu
SUMMARY:The Legacy of Rudolph Kalman (Andrew Stuart\, Caltech)
DESCRIPTION:Abstract: In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic\, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate\,  the importance of this work continues to grow too. The lecture will describe this paper\, and developments that have stemmed from it\, revolutionizing fields such space-craft control\, weather prediction\, oceanography\, oil recovery\, medical imaging and artificial intelligence. Some mathematical details will be also provided\, but limited to simple concepts such as optimization and iteration; the  talk is designed to be broadly accessible to anyone with an  interest in quantitative science.
URL:https://colleges.claremont.edu/ccms/event/andrew-stuart-caltech/
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:20181108T161500
DTEND;TZID=America/Los_Angeles:20181108T171500
DTSTAMP:20260508T055256
CREATED:20181101T220906Z
LAST-MODIFIED:20181102T043346Z
UID:930-1541693700-1541697300@colleges.claremont.edu
SUMMARY:Crossing the Threshold: The Role of Demographic Stochasticity in the Evolution of Cooperation (Tom LoFaro\, Gustavus Adolphus College)
DESCRIPTION:When Charles Darwin began writing “On the Origin of Species” he knew that explaining cooperative behavior in the context of “survival of the fittest” was problematic.  In fact\, this apparent contradiction puzzled ecologists for many years after.  In this talk we will discuss a mathematical model of the evolution of cooperation developed by Doebeli\, Blarer\, and Ackermann that incorporates ideas from game theory into a standard population genetics model.  We will show that if the model is viewed deterministically then cooperative behavior cannot spread from rarity.  However\, if birth rates are stochastic then cooperative behavior might spread.  We will explore why this is so and describe conditions that increase the probability that cooperative behavior will become established.
URL:https://colleges.claremont.edu/ccms/event/crossing-the-threshold-the-role-of-demographic-stochasticity-in-the-evolution-of-cooperation-tom-lofaro-gustavus-adolphus-college/
LOCATION:Shanahan 3465\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181112T161500
DTEND;TZID=America/Los_Angeles:20181112T171500
DTSTAMP:20260508T055256
CREATED:20180910T183619Z
LAST-MODIFIED:20181101T041237Z
UID:523-1542039300-1542042900@colleges.claremont.edu
SUMMARY:Digital sequences for frequency hopping CDMA systems (Lenny Fukshansky\, CMC)
DESCRIPTION:Frequency hopping is a method of transmitting signals by rapidly switching between many frequency channels\, following some sequence of frequencies known to the transmitter and the receiver. This technique is used in the CDMA (code division multiple access) systems\, and has many civilian and military applications. For successful transmission minimizing signal interference\, we want to use sets of digital frequency sequences with minimal Hamming cross-correlation\, which measures frequency overlaps with time shifts between two different sequences. We discuss a construction of a new family of one-coincidence sequences like this coming from some basic arithmetic of finite fields\, which have some nice properties. This is joint work with Adib Shaar\, and this talk is dedicated to his memory.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-lenny-fukshansky/
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:20181113T121500
DTEND;TZID=America/Los_Angeles:20181113T131000
DTSTAMP:20260508T055256
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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181114T161500
DTEND;TZID=America/Los_Angeles:20181114T171500
DTSTAMP:20260508T055256
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:20181119T161500
DTEND;TZID=America/Los_Angeles:20181119T171500
DTSTAMP:20260508T055256
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:20181121T161500
DTEND;TZID=America/Los_Angeles:20181121T171500
DTSTAMP:20260508T055256
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:20181126T161500
DTEND;TZID=America/Los_Angeles:20181126T171500
DTSTAMP:20260508T055256
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:20181127T121500
DTEND;TZID=America/Los_Angeles:20181127T131000
DTSTAMP:20260508T055256
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:20181128T161500
DTEND;TZID=America/Los_Angeles:20181128T171500
DTSTAMP:20260508T055256
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
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