Un of Tenn | Math Department

Seminars and Colloquiums
for the week of March 18, 2013

Speakers:

Prof. Vasilis Papanicolaou, Washington U at Saint Louis and National Technical University of Athens, Monday
Prof. Luis Finotti, Monday
Mr. Ernest Jum, Wednesday
Prof. Remus Nicoara, Wednesday
Dr. Jerzy Dydak, Thursday
Ms. Ashley Rand, Thursday
Prof. Cheng Wang - U Mass Dartmouth, Thursday

*** Tea Time this week will be Monday - Wednesday at 3:00 pm.
Hosted this week by Pete Jantsch. Everyone is welcome! ***

MONDAY, MARCH 18

PROBABILITY SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres 122
SPEAKER: Prof. Vasilis Papanicolaou, Washington U at Saint Louis and National Technical University of Athens
TITLE: The Siblings of the Coupon Collector
ABSTRACT: The classical coupon collector's problem is here extended to the case where the main collector shares her coupons with other members of her family. She remains the main collector, but she gives to her brothers all the coupons that she gets in double. When her coupon album is completed, her brothers' albums have, of course, some empty places. How many in average? We give an answer to that question by developing techniques of computing asymptotics of this average as $N \to \infty$, for a large class of families of coupon probabilities. We also give some illustative examples.

ALGEBRA SEMINAR
TIME: 3:35 p.m.
ROOM: Ayres B004
SPEAKER: Prof. Luis Finotti
TITLE: "On the ABC Conjecture", part V
ABSTRACT: S. Mochizuki has recently claimed to have prove the ABC Conjecture. This is a very strong conjecture, with numerous consequences in number theory. In this series of talks we will motivate, state, give equivalent statements, prove/discuss consequences and study related problems to the ABC Conjecture.

WEDNESDAY, MARCH 20

MATH BIOLOGY SEMINAR
TIME: 12:20 - 1:10 p.m.
ROOM: Ayres 114
SPEAKER: Mr. Ernest Jum
TITLE: Nonlinear Dynamics in Physiology and Medicine (continued Chapter 3 of this book)

ANALYSIS SEMINAR
TIME: 3:35 p.m.
ROOM: Ayres 114
SPEAKER: Prof. Remus Nicoara
TITLE: "Non-conjugate actions of groups on von Newmann algebras" (continued)
ABSTRACT: We will first review some known results about groups acting on von Neumann algebras. We will then construct certain parametric classes of non-conjugate actions on the hyperfinite II_1 factor.

THURSDAY, MARCH 21

TOPOLOGY SEMINAR
TIME: 9:40 - 10:55 a.m.
ROOM: Ayres B004
SPEAKER: Prof. Jerzy Dydak
TITLE: Coarse amenability and expanders - 2
ABSTRACT: Coarse amenability is a generalization of amenability from groups to metric spaces. Historically, there are three basic classes of coarsely non-amenable spaces: a. expander sequences (G.Yu), b. infinite unions of powers of a given finite group G that is not trivial (P.Nowak), c. graph sequences with girth approaching infinity (R.Willett).

The most explicit construction of an expander sequence is as finite quotients of a finitely generated group G with Kazhdan’s property (T) (example: SL_n(Z) when n > 2).

I will define expander light sequences, prove they are coarsely non-amenable, and show each of the above classes is a subclass of expander light sequences. Not only expander light sequences form a unifying concept for a)-c), the proof of their coarse non-amenability is quite elementary.

DOCTORAL DEFENSE
TIME: 3:30 p.m.
ROOM: Ayres 114
SPEAKER: Ms. Ashley Rand
TITLE: "Multiplicative sets of atoms"
Her committee consists of Professors: Anderson (chair), Finotti, Mulay, and Berry (EECS).

COLLOQUIUM
TIME: 3:35 - 4:35 p.m.
ROOM: Ayres 405
SPEAKER: Prof. Cheng Wang - U Mass Dartmouth
HOST: Prof. Steve Wise
TITLE: Numerical stability and convergence for incompressible Euler equation.
ABSTRACT: Fully discrete pseudo spectral numerical schemes to 2-D and 3-D incompressible Euler equation are considered in this talk. To ensure the numerical stability for this inviscid equation, an artificial viscosity is added with a required numerical accuracy.

A local in time convergence analysis is established for smooth solution. A global in time energy stability is assured with a suitable choice of the artificial viscosity term. Some numerical simulation results are also presented.

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: