**Seminars and Colloquiums**

for the week of September 8, 2014

for the week of September 8, 2014

*SPEAKER:*

Ms. Rebecca Pettit, Monday

Mr. Vajira Manathunga, Monday

Prof. Xia Chen, Tuesday

Prof. Horst Behncke, University of Osnabruck, Germany, Thursday

**Monday, September 8 **

MATH BIOLOGY SEMINAR

TIME: 12:20 - 1:10 p.m.

ROOM: Hesler 427

SPEAKER: Ms. Rebecca Pettit

TITLE: Introduction to biochemical kinetics (chapter 2 of new Edelstein-Keshet and Segel book)

GEOMETRY/TOPOLOGY SEMINAR

TIME: 2:30 - 3:20 p.m.

ROOM: Ayres 113

SPEAKER: Mr. Vajira Manathunga

TITLE: The Conway polynomial and amphicheirality

ABSTRACT: Detecting chirality is one of main question in knot theory. For this end, various methods have been developed in past. The polynomial invariants like Jones, HOMFLYPT, Kauffman are the most prominent methods among them. Even though Conway polynomial unable to detect chirality, we can still use it to detect chirality of a knot up to certain extent. In this talk we summarize our work on the following conjecture.

Conjecture: If K is an amphicheiral knot then there is a polynomial F such that C(z)C(iz)C(z^2)=F^2

Where F\in Z_4(z^2) , C(z) is the Conway polynomial of knot K and i = \sqrt{-1}

**Tuesday, September 9 **

PROBABILITY SEMINAR

TIME: 2:10 – 3:25 p.m.

ROOM: Ayres 112

SPEAKER: Prof. Xia Chen, UTK

TITLE: Asymptotics for the principle eigenvalue of N-body problem: a large deviation approach. Part 2

ABSTRACT: The N-body problem is described by a Nd-dimensional Schrodinger operator with the potential that symbols a pairwise interaction among N particles in the space. One of the central topics in N-body problem is the spectral structure of the Schrodinger operator for its relevance to the energy quantification of the system. In this talk, we shall represent an asymptotic behavior of the principle eigenvalue of the Schrodinger operator as the number of the particles increases and the mass of each particle shrinks. Our proof is probabilistic and is relevant to Donsker-Varadhan large deviation principle.

The talk is based an on-going project collaborated with Tuoc Van Phan and Tadele Mengesha.

**Thursday, September 11**

PDE SEMINAR

TIME: 2:10 - 3:00 p.m.

ROOM: Ayres 113

SPEAKER: Prof. Horst Behncke, University of Osnabruck, Germany

HOST: Profs. Lenhart and Hinton

TITLE: Optimal control and analysis of a fishery model with harvest

*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:**