Un of Tenn | Math Department

Seminars and Colloquiums
for 2010-2011

Week of November 15, 2010

Speaker:

Mr. Matt Turner, Monday
Mr. Vajira Manathunga, Monday
Mr. Joseph White, Wednesday
Professor Joan Lind, Thursday
Dr. Michael Siegel, NJIT, Friday

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. Fernando Schwartz.

Monday, November 15

PROBABILITY SEMINAR
TIME: 10:10 – 11:00
ROOM: Temple 303
SPEAKER: Mr. Matt Turner
TITLE: "Ito isomorphisms for stochastic integrals driven by Levy processes with applications. Part I."
ABSTRACT: We give explicit bounds for the p-th absolute moments of infinitely divisible distributions in terms of Orlicz-type mixed moments of Levy measures. This result is needed to establish Ito-type isomorphisms for stochastic integrals driven by Levy processes, which will be presented in the later parts of the talk.

ALGEBRA SEMINAR
TIME: 3:35 – 4:25 pm
ROOM: AC 113A
SPEAKER: Mr. Vajira Manathunga
TITLE: "Noncommuting graph of a group" (Part 2)
ABSTRACT: The noncommuting graph T(G) of a non-abelian finite group G is define as follows. The vertices of T (G) are represented by the M<>?M<>?M<>?M<>?M<>?M<>?M<>? noncentral elements of G, and two distinct vertices are joined by an edge if they do not commute. We will begin with a brief introduction to noncommuting graphs of a group. Next we consider the following question: Let G and H be two non-abelian finite groups whose noncommuting graphs are isomorphic. Then is |G|=|H|? We will illustrate the counterexample given by A.R. Moghaddamfar in "About Noncommuting Graphs", Siberian Math. J., 47, No. 5, 911-914 (2006).

Wednesday, November 17

ANALYSIS SEMINAR
TIME: 3:35 – 4:25 p.m.
ROOM: AC 113
SPEAKER: Mr. Joseph White
TITLE: "Jones Index for Subfactors" II
ABSTRACT: In this talk, we continue going over Jones' paper. In particular, we will define the index and discuss some properties when we iterate the Basic Construction.

Thursday, November 18

JUNIOR COLLOQUIUM
TIME: 3:35 – 4:25 pm
ROOM: HBB 102
SPEAKER: Professor Joan Lind
TITLE: "Random Walks"
ABSTRACT: Suppose you decide to go for a walk, and each time you reach a corner, you randomly choose the direction to take for the next block.

Your path will be an example of a simple random walk. In this talk, we will take a look at this and other random walks, and we will discuss Shramm-Loewner Evolution, an exciting new random process which is related to these random walks. There will be plenty of pictures and simulations along the way.

***Pizza will be available in Aconda Court 113***

Friday, November 19

COLLOQUIUM
TIME: 3:35 – 4:25 pm
ROOM: HBB 102
SPEAKER: Dr. Michael Siegel, NJIT
TITLE: "Complex singularities in interfacial fluid flow and the 3D incompressible Euler equations"
ABSTRACT: One of the most interesting phenomena in free surface flows is singularity formation on the interface. Examples include topological singularities, such as pinch-off of a liquid thread, or the formation of a curvature singularity on an evolving vortex sheet. In the first part of this talk, we describe how singularity formation can be understood by analytically extending the variable which parameterizes the interface and analyzing the singularity motion in the complex plane. In the second part, we describe an approach for the construction of complex singular solutions to the 3D Euler equations that is motivated by the results for interfaces.

Past notices: