Seminars and Colloquiums
for the week of September 19, 2016
Logan Higginbotham, UTK, Monday
Ibrahim Aslan, UTK, Monday
Andrew Marchese, UTK, Tuesday
Ken Stephenson, UTK, Wednesday
Danielle Burton, UTK, Thursday
Tim Schulze, UTK, Thursday
3:00 pm – 3:30 pm
Monday, Tuesday, & Wednesday
Room: Ayres 401
Hosted By: Maggie Wieczorek and Kylie Berry
Monday, September 19th
TITLE: Constructing a Groupoid over the Stone-Cech Compactification of a Discrete Space
SPEAKER: Logan Higginbotham, UTK
TIME: 2:30pm – 3:20pm
ROOM: Ayres 114
Most of the talk is based off of chapter 10 of "Lectures on Coarse Geometry" by John Roe. We define a groupoid and show necessary and sufficient conditions of when $\beta X \times \beta X$ injects into $\beta (X \times X)$ for $X$ a discrete space. Using this and some consequences of partial bijections over a certain bounded geometric structure on $X$, we are able to then construct a groupoid over $\beta X$.
MATH BIOLOGY SEMINAR
TITLE: Biological Invasions, Reaction–Diffusion Models: Single Species
SPEAKER: Ibrahim Aslan, UTK
TIME: 2:30pm – 3:20pm
ROOM: Ayres G003
Tuesday, September 20th
TITLE: A point process distance on the space of Persistence Diagrams: Part II
SPEAKER: Andrew Marchese, UTK
TIME: 2:10pm – 3:25pm
ROOM: Ayres 114
We continue the discussion from last week of classifying signals using persistent homology. In particular, we focus on proving key theorems presented in the previous seminar and talk about machine learning applications of computational topology.
Wednesday, September 21st
TITLE: Convergence of Shapes in Conformal Tiling II
SPEAKER: Ken Stephenson, UTK
ROOM: Ayres 003
Having reviewed traditional, combinatorial, and conformal tilings and notion of subdivision and "aggregate tiles", we will outline the proof that conformal aggregate tiles converge to their traditional tiling euclidean shapes. The proofs involve convergence of conformal and of quasiconformal mappings.
Thursday, September 22nd
DIFFERENTIAL EQUATIONS SEMINAR
TITLE: Two-species Interactions and the Evolution of Dispersal Strategies
SPEAKER: Danielle Burton, UTK
TIME: 2:10pm – 3:10pm
ROOM: Ayres 112
Advantageous mutations are rare. Under what conditions will behavioral traits (strategies) that appear in a few individuals invade the larger population? We will examine systems describing two competing species with certain fixed types of dispersal behaviors and try to determine whether the species will coexist or one will drive the other extinct. We will explore the ideal free distribution, a verbal theory posited by ecologists, and interpret it mathematically in this context. This talk is based on a review paper by Chris Cosner titled “Reaction-Diffusion-Advection Models for the Effects and Evolution of Dispersal” which appeared in Discrete and Continuous Dynamical Systems Volume 34, Number 5, May 2014.
TITLE: “The Mathematics of Poker”
SPEAKER: Tim Schulze, UTK
TIME: 3:40pm – 4:30pm
ROOM: Ayres 405
In the January 9th, 2015 issue of Science, Bowling, Burch, Johanson and Tammelin announced that they had "solved" the game of heads-up, limit Texas Hold 'em. This news was widely reported in the main stream media. Motivated by this, we will take a somewhat broader look at the mathematics behind the game of poker and what it means to solve a game. We quickly find that a complete analysis is not practical. Multiple players, multiple rounds of betting, multiple raises, and variable bet sizes combine to make the game intractable. We are able to make progress, however, if we restrict our attention to heads-up play with some simplified betting rules. We expand upon this basic situation to include some elements of the popular game of Texas Hold 'Em, and conclude with a discussion of how heads-up, limit Hold 'em was solved.
Friday, September 23rd
If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.
If you have questions, or a date you would like to confirm, please contact colloquium AT math DOT utk DOT edu