**Seminars and Colloquiums**

for the week of September 19, 2016

for the week of September 19, 2016

*SPEAKER:*

Logan Higginbotham, UTK, Monday

Ibrahim Aslan, UTK, Monday

Andrew Marchese, UTK, Tuesday

Ken Stephenson, UTK, Wednesday

Danielle Burton, UTK, Thursday

Tim Schulze, UTK, Thursday

*TEA TIME
3:00 pm – 3:30 pm
Monday, Tuesday, & Wednesday
Room: Ayres 401
Hosted By: Maggie Wieczorek and Kylie Berry*

**Monday, September 19th **

TOPOLOGY/GEOMETRY SEMINAR

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 **

STOCHASTICS SEMINAR

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 **

ANALYSIS SEMINAR

TITLE: Convergence of Shapes in Conformal Tiling II

SPEAKER: Ken Stephenson, UTK

TIME: 2:30pm-3:20pm

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.

JR. COLLOQUIUM

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**

NO COLLOQUIUM

*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 *

**Past notices:**