Quandle coloring quivers (Sam Nelson, CMC)
Given a finite quandle $X$, a set $S \subset \mathrm{Hom}(X,X)$ of quandle endomoprhisms, and an oriented knot or link $L$, we construct a quiver-valued invariant of oriented knots and links. […]
12 events found.
Events
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Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States
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Snow Business: Scientific Computing in the Movies and Beyond (Joseph Teran, UCLA)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesNew applications of scientific computing for solid and fluid mechanics problems include simulation of virtual materials in movie visual effects and virtual surgery. Both disciplines demand physically realistic dynamics for materials like […]
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Reaction-Diffusion Equations under Perturbations of the Domain (Professor Jose Arrieta, Universidad Complutense de Madrid, Spain)
Shanahan 3465, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesWe analyze the behavior of the asymptotic dynamics of dissipative reaction-diffusion equations with Neumann boundary conditions when the domain where the equation is posed undergoes certain perturbation. We will focus […]
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An Introduction to the Sato-Tate Conjecture (Edray Goins, Pomona College)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesIn 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 […]
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Modeling Mechanisms of Ovulatory (Dys)Function (Erica Graham, Bryn Mawr College)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesA 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 […]
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GEMS Workshop: Knots and how to tell them apart (Professor Sam Nelson, Claremont McKenna College)
Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesWHAT IS GEMS: The 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 GEMS […]
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State Polytopes of Combinatorial Neural Codes (Rob Davis, HMC)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesCombinatorial 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 […]
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Applications of Cayley Digraphs to Waring’s Problem and Sum-Product Formulas (Yesim Demiroglu, Harvey Mudd)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesAbstract: 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 […]
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Agent-Based and Continuous Models of Locust Hopper Bands: The Role of Intermittent Motion, Alignment, Attraction and Repulsion (Andrew J. Bernoff, HMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaLocust 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 […]
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The Bateman—Horn Conjecture, Part I: heuristic derivation (Stephan Garcia, Pomona)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesThe 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, […]
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Great Expectations (Matthew Junge, Duke Univ.)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesThe 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 […]
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Isometric Circle Actions (Catherline Searle, Wichita State)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesI 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 […]