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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181002T121500
DTEND;TZID=America/Los_Angeles:20181002T131000
DTSTAMP:20260517T031909
CREATED:20180911T213738Z
LAST-MODIFIED:20180926T151643Z
UID:533-1538482500-1538485800@colleges.claremont.edu
SUMMARY:An Introduction to the Sato-Tate Conjecture (Edray Goins\, Pomona College)
DESCRIPTION:In 1846\, Ernst Eduard Kummer conjectured a distribution of values of a cubic Gauss sum after computing a few values by hand.  This was forgotten about for nearly 100 years until John von Neumann and Herman Goldstine attempted to verify the conjecture as a way to test the new ENIAC machine in 1953.  They found evidence that the conjecture was false\, but trusted Kummer more than they did their digital computer.  The conjecture would hold until 1979\, when Roger Heath-Brown and Samuel Patterson proved it to be false. \nA few years earlier in 1965\, Mikio Sato and John Tate independently came up with a conjecture which gave the correct distribution of these cubic Gauss sums — although it was expressed slightly differently in terms of counting points of elliptic curves over finite fields.  In this talk\, we give an overview of the Sato-Tate Conjecture\, present an approach by Jean-Pierre Serre following his paper from 1967\, then sketch the 2006 proof of the conjecture following the ideas of Laurent Clozel\, Michael Harris\, Nicholas Shepherd-Barron and Richard Taylor. \nHere are the slides of this lecture: Edray Goins’ slides.
URL:https://colleges.claremont.edu/ccms/event/talk-by-edray-goins-pomona-college/
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:20181003T161500
DTEND;TZID=America/Los_Angeles:20181003T171500
DTSTAMP:20260517T031909
CREATED:20180928T164701Z
LAST-MODIFIED:20180928T164701Z
UID:834-1538583300-1538586900@colleges.claremont.edu
SUMMARY:Modeling Mechanisms of Ovulatory (Dys)Function (Erica Graham\, Bryn Mawr College)
DESCRIPTION:A normally functioning menstrual cycle requires significant crosstalk between hormones originating in ovarian and brain tissues. Reproductive hormone dysregulation may disrupt function and can lead to infertility\, as occurs in the common endocrine disorder polycystic ovarian syndrome (PCOS). In this talk\, I will discuss a mathematical model of the ovulatory cycle that accounts for mechanisms of ovarian testosterone production and explore insulin-mediated ovulatory dysfunction.  I will also explore additional model characteristics\, via bifurcations and parameter sensitivity\, and their respective clinical implications.
URL:https://colleges.claremont.edu/ccms/event/modeling-mechanisms-of-ovulatory-dysfunction-erica-graham-bryn-mawr-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:20181006T100000
DTEND;TZID=America/Los_Angeles:20181006T120000
DTSTAMP:20260517T031909
CREATED:20180925T191047Z
LAST-MODIFIED:20180926T051652Z
UID:653-1538820000-1538827200@colleges.claremont.edu
SUMMARY:GEMS Workshop: Knots and how to tell them apart (Professor Sam Nelson\, Claremont McKenna College)
DESCRIPTION:WHAT 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 first event on October 6\, 2018 please click on the following link: \nhttps://tinyurl.com/GEMS2018Fall \nANY QUESTIONS:  \nPlease contact our 2018-2019 GEMS coordinator\, Elsa Harris at Elsa.Harris@cgu.edu
URL:https://colleges.claremont.edu/ccms/event/fall-2018-gems-workshop-series/
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:20181009T121500
DTEND;TZID=America/Los_Angeles:20181009T131000
DTSTAMP:20260517T031909
CREATED:20180912T160739Z
LAST-MODIFIED:20181001T220127Z
UID:546-1539087300-1539090600@colleges.claremont.edu
SUMMARY:State Polytopes of Combinatorial Neural Codes (Rob Davis\, HMC)
DESCRIPTION:Combinatorial neural codes are 0/1 vectors that are used to model the co-firing patterns of a set of place cells in the brain. One wide-open problem in this area is to determine when a given code can be algorithmically drawn in the plane as a Venn diagram-like figure. A sufficient condition to do so is for the code to have a property called k-inductively pierced. Gross\, Obatake\, and Youngs recently used toric algebra to show that a code on three neurons is 1-inductively pierced if and only if the toric ideal is trivial or generated by quadratics. No result is known for additional neurons in the same generality. \nIn this talk\, we study two infinite classes of combinatorial neural codes in detail. For each code\, we explicitly compute its universal Gröbner basis. This is done for the first class by recognizing that the codewords form a Lawrence-type matrix. With the second class\, this is done by showing that the matrix is totally unimodular. These computations allow one to compute the state polytopes of the corresponding toric ideals\, from which all distinct initial ideals may be computed efficiently. Moreover\, we show that the state polytopes are combinatorially equivalent to well-known polytopes: the permutohedron and the stellohedron.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-rob-davis-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:20181010T041500
DTEND;TZID=America/Los_Angeles:20181010T171500
DTSTAMP:20260517T031909
CREATED:20180928T170449Z
LAST-MODIFIED:20181005T213928Z
UID:838-1539144900-1539191700@colleges.claremont.edu
SUMMARY:Applications of Cayley Digraphs to Waring's Problem and Sum-Product Formulas (Yesim Demiroglu\, Harvey Mudd)
DESCRIPTION:Abstract: In this talk\, we first present some elementary new proofs (using Cayley digraphs and spectral graph theory) for Waring’s problem over finite fields\, and explain how in the process of re-proving these results\, we obtain an original result that provides an analogue of Sarkozy’s theorem in the finite field setting (showing that any subset E of a finite field Fq for which |E| >  (qk)/sqrt{q – 1}must contain at least two distinct elements whose difference is a kth power). Once we have our results for finite fields\, we apply some classical mathematics to extend our Waring’s problem results to the context of general (not  necessarily commutative) finite rings. In the second half of our talk\, we present our sum-product results related to matrix rings over finite fields\, which can again be proven using Cayley digraphs and spectral graph theory in an efficient way.
URL:https://colleges.claremont.edu/ccms/event/yesim-demiroglu-harvey-mudd/
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:20181015T161500
DTEND;TZID=America/Los_Angeles:20181015T171500
DTSTAMP:20260517T031909
CREATED:20180911T004755Z
LAST-MODIFIED:20180927T002145Z
UID:525-1539620100-1539623700@colleges.claremont.edu
SUMMARY:Agent-Based and Continuous Models of Locust Hopper Bands: The Role of Intermittent Motion\, Alignment\, Attraction and Repulsion (Andrew J. Bernoff\, HMC)
DESCRIPTION:Locust swarms pose a major threat to agriculture\, notably in northern Africa and the Middle East. In the early stages of aggregation\, locusts form hopper bands. These are coordinated groups that march in columnar structures that are often kilometers long and may contain millions of individuals. We propose a model for the formation of locust hopper bands that incorporates intermittent motion\, alignment with neighbors\, and social attraction\, all behaviors that have been validated in experiments. Using a particle-in-cell computational method\, we simulate swarms of up to a million individuals\, which is several orders of magnitude larger than what has previously appeared in the locust modeling literature. We observe hopper bands in this model forming as a fingering instability. Our model also allows homogenization to yield a system of partial integro-differential evolution equations. We identify a bifurcation from a uniform marching state to columnar structures\, suggestive of the formation of hopper bands.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-andrew-j-bernoff-hmc/
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:20181016T121500
DTEND;TZID=America/Los_Angeles:20181016T131000
DTSTAMP:20260517T031909
CREATED:20181008T194923Z
LAST-MODIFIED:20181008T194923Z
UID:897-1539692100-1539695400@colleges.claremont.edu
SUMMARY:The Bateman—Horn Conjecture\, Part I: heuristic derivation (Stephan Garcia\, Pomona)
DESCRIPTION:The Bateman—Horn Conjecture is a far-reaching statement about the distribution of the prime numbers.  It implies many known results\, such as the Green—Tao theorem\, and a variety of famous conjectures\, such as the Twin Prime Conjecture.  In this expository talk\, we start from basic principles and provide a heuristic argument in favor of the conjecture.  This talk should be accessible to undergraduates with a background in modular arithmetic.
URL:https://colleges.claremont.edu/ccms/event/the-bateman-horn-conjecture-part-i-heuristic-derivation-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:20181017T161500
DTEND;TZID=America/Los_Angeles:20181017T171500
DTSTAMP:20260517T031909
CREATED:20180904T171513Z
LAST-MODIFIED:20181001T150735Z
UID:499-1539792900-1539796500@colleges.claremont.edu
SUMMARY:Great Expectations (Matthew Junge\, Duke Univ.)
DESCRIPTION:The mean of a random quantity is supposed to confirm our expectations. What happens when it defies them? We will look at a few famous expected values; some old\, some new\, all great.
URL:https://colleges.claremont.edu/ccms/event/great-expectations/
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:20181024T161500
DTEND;TZID=America/Los_Angeles:20181024T171500
DTSTAMP:20260517T031909
CREATED:20180928T170717Z
LAST-MODIFIED:20181013T155440Z
UID:841-1540397700-1540401300@colleges.claremont.edu
SUMMARY:Isometric Circle Actions (Catherline Searle\, Wichita State)
DESCRIPTION:I will begin by describing a number of important examples of isometric actions of circles in Euclidean space and their restrictions to subspaces of Euclidean space. The goal of the talk will be to see how isometric actions of circles and tori can be used to “recognize” the space on which they are acting.
URL:https://colleges.claremont.edu/ccms/event/catherline-searle-wichita-state/
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:20181029T161500
DTEND;TZID=America/Los_Angeles:20181029T171500
DTSTAMP:20260517T031909
CREATED:20180910T073543Z
LAST-MODIFIED:20181016T222630Z
UID:520-1540829700-1540833300@colleges.claremont.edu
SUMMARY:Minimal Gaussian Partitions\, Clustering Hardness and Voting (Steven Heilman\, USC)
DESCRIPTION:A single soap bubble has a spherical shape since it minimizes its surface area subject to a fixed enclosed volume of air.  When two soap bubbles collide\, they form a “double-bubble” composed of three spherical caps.  The double-bubble minimizes total surface area among all sets enclosing two fixed volumes.  This was proven mathematically in a landmark result by Hutchings-Morgan-Ritore-Ros and Reichardt using the calculus of variations in the early 2000s.  The analogous case of three or more Euclidean sets is considered difficult if not impossible.  However\, if we replace Lebesgue measure in these problems with the Gaussian measure\, then recent work of myself (for 3 sets) and of Milman-Neeman (for any number of sets) can actually solve these problems.  We also use the calculus of variations.  We will discuss applications of this Gaussian “multi-bubble” problem to optimal clustering of data and to designing elections that are resilient to hacking.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-steven-heilman/
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:20181030T121500
DTEND;TZID=America/Los_Angeles:20181030T131000
DTSTAMP:20260517T031909
CREATED:20180823T224159Z
LAST-MODIFIED:20181024T083012Z
UID:471-1540901700-1540905000@colleges.claremont.edu
SUMMARY:Uniform asymptotic growth of symbolic powers  (Robert Walker\, University of Michigan)
DESCRIPTION:Algebraic geometry (AG) is a major generalization of linear algebra which is fairly influential in mathematics. Since the 1980’s with the development of computer algebra systems like Mathematica\, AG has been leveraged in areas of STEM as diverse as statistics\, robotic kinematics\, computer science/geometric modeling\, and mirror symmetry. Part one of my talk will be a brief introduction to AG\, to two notions of taking powers of ideals (regular vs symbolic) in Noetherian commutative rings\, and to the ideal containment problem that I study in my thesis. Part two of my talk will focus on stating the main results of my thesis in a user-ready form\, giving a “comical” example or two of how to use them. At the risk of sounding like Paul Rudd in Ant-Man\, I hope this talk with be awesome.
URL:https://colleges.claremont.edu/ccms/event/tba-4/
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:20181031T161500
DTEND;TZID=America/Los_Angeles:20181031T171500
DTSTAMP:20260517T031909
CREATED:20180928T171011Z
LAST-MODIFIED:20181025T210738Z
UID:845-1541002500-1541006100@colleges.claremont.edu
SUMMARY:Saving Bats from Fungal Diseases with Linear Algebra (Nina Fefferman\, U of Tennessee-Knoxville)
DESCRIPTION:Abstract: Bats in North America have been dying off due to the invasion of a fungal disease (White Nose Syndrome). In this talk\, I’ll present a very simple linear algebraic model to predict the magnitude of the die-offs. By comparing these models to some data about actual bat survival\, my collaborator and I also hypothesized that the disease might be causing rapid evolution in the bat populations and this could give some populations better hope of surviving. I’ll go through these models and show how the predictions they make are different from models that don’t include bat evolution. I’ll also talk a little about some of the intervention strategies that have been proposed to help bat populations survive\, and use these models to show how some of them might accidentally hurt rather than help\, if we don’t figure out whether the main impacts of disease are evolutionary or immunological first.
URL:https://colleges.claremont.edu/ccms/event/nina-fefferman-u-of-tennessee-knoxville/
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
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