### Seminars and Colloquiums for the week of November 25, 2019

SPEAKERS
Monday
Dr. Oyita Udiani, NIMBioS Postdoc
Dony Varghese (UTK)
Simon Levin
Tuesday
Hien Nguyen (Iowa State University)

Monday,25th

Math Biology Seminar Title: Phenomenological models of cooperation and emergence in biological dynamics
Speaker: Dr. Oyita Udiani, NIMBioS Postdoc
Time: 10:10-11
ROOM: Claxton 105

ALGEBRA SEMINAR
TITLE: Incidence Algebras
SPEAKER: Dony Varghese (UTK)
TIME: 3:35 PM
ROOM: Ayres 114

DySoC/NIMBioS Interdisciplinary Seminar
TITLE: "Public goods, from biofilms to societies"
SPEAKER: Simon Levin
TIME: 4 p.m PM
Refreshments at 3:30 p.m
ROOM: 206, Claxton Building
Abstract: Ecological and economic systems are alike in that individual agents compete for limited resources, evolve their behaviors in response to interactions with others, and form exploitative as well as cooperative interactions as a result. In these complex adaptive systems, macroscopic properties like the flow patterns of resources like nutrients and capital emerge from large numbers of microscopic interactions, and feed back to affect individual behaviors. In this talk, I will explore some common features of these systems, especially as they involve the evolution of cooperation in dealing with public goods, common pool resources and collective movement. I will describe examples from bacteria and slime molds to vertebrate groups to insurance arrangements in human societies and international agreements on environmental issues.
Dr. Simon Levin†is a James S. McDonnell Distinguished University Professor in the Department of Ecology and Evolution and the Director of the Center for BioComplexity at†Princeton University. He specializes in using mathematical modeling and empirical studies in the understanding of macroscopic patterns of ecosystems and biological diversities.† Dr. Levin is also† a†Fellow of the American Academy of Arts and Sciences†and the†American Association for the Advancement of Science, and a Member of the National Academy of Sciences. In 2016, President Obama awarded Levin†the U.S. National Medal of Scienceóthe nationís highest honor for achievement and leadership in science.

Tuesday, 26th

GEOMETRIC ANALYSIS SEMINAR
TITLE: The fundamental gap of convex domains in $\mathbb H^2$
SPEAKER: Hien Nguyen (Iowa State University)
TIME: 4:00 PM
ROOM: Ayres 113
Abstract: We give a brief history of progress on fundamental gap problem in $\mathbb R^n$ and $\mathbb S^n$. Then we compute the fundamental gap of a family of convex domains in the hyperbolic plane $\mathbb H^2$ showing that there are convex domains for which $\lambda_1 ? \lambda_2 < 3 \pi^2/D^2$, where $D$ is the diameter of the domain and $\lambda_1$, $\lambda_2$ are the first and second Dirichlet eigenvalues of the Laplace operator on the domain. The result contrasts with the case of domains in $\mathbb R^n$ or $\mathbb S^n$, where $\lambda_2 - \lambda_1 \ge 3 \pi^2/D^2$.

#### 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 Dr. Christopher Strickland, cstric12@utk.edu

Past notices:

Nov. 18, 2019

Nov. 11, 2019

Nov. 4, 2019

Oct. 28, 2019

Oct. 21, 2019

Oct. 14, 2019

Oct. 7, 2019

Sept. 30, 2019

Sept. 23, 2019

Sept. 16, 2019

Sept. 9, 2019

Sept. 2, 2019

Aug. 26, 2019

2018-19

2017-18

###### last updated: December 2019

Department of Mathematics
College of Arts & Sciences

227 Ayres Hall. 1403 Circle Drive. Knoxville TN 37996-1320
Phone: 865-974-2461 Fax: 865-974-6576 Email: math_info@utk.edu