Un of Tenn | Math Department

Seminars and Colloquiums
for week of October 24, 2011

Speaker:

Ms. Ashley Rand, Monday
Mr. Mike Kelly, Mr. Tyler Massaro, Monday
Professor Alejandro de Acosta, Case Western Reserve University, Monday
Mr. Joseph White, Wednesday
Professor Luis Finotti, Thursday
Dr. Shi Chen, Vet. College Postdoc, Thursday
Professor K. Sundar, LSU, Thursday
Professor K. Sundar, LSU, 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. Judy Day.

Monday, October 24, 2011

ALGEBRA SEMINAR
TIME: 2:30 – 3:20
ROOM: Ayres Hall B004
SPEAKER: Ms. Ashley Rand
The talk will continue on K_0(R).

DE/APPLIED and COMPUTATIONAL MATH SEMINAR
TIME: 3:35 – 4:30 p.m.
ROOM: Ayres 113
SPEAKERS: Mike Kelly, Tyler Massaro
TITLES: "Optimal Dynamic Harvesting of a Mobile Renewable Resource"
"Modeling of Johne's Disease"

PROBABILITY SEMINAR
TIME: 3:35 – 4:35 p.m.
ROOM: Ayres 122
SPEAKER: Professor Alejandro de Acosta, Case Western Reserve University
TITLE: "Large deviations for additive functionals of Markov chains"
ABSTRACT: For a Markov chain {Xj} with general state space S and f : S--> Rd, the large deviation principle for the sequence of averages of {f(Xj)} is proved under a condition on the chain which is weaker than uniform ergodicity but stronger than geometric ergodicity and an integrability condition on f, for a broad class of initial distributions.

Assuming only geometric ergodicity and under a non-degeneracy condition, a local large deviation result is proved for bounded f. The rate function in the large deviation results is expressed in terms of the convergence parameter of the transform kernel.

Wednesday, October 26, 2011

ANALYSIS SEMINAR
TIME: 3:35 – 4:25
ROOM: Ayres 113
SPEAKER: Mr. Joseph White
TITLE: "Subfactors and Hadamard Matrices (III)"
ABSTRACT: From each Hadamard matrix, one can construct an embedding of the hyperfinite II_I factor into itself. We will discuss the known results and the goals of current research.

Thursday, October 27, 2011

SAGE WORKSHOP
TIME: 10:00 – 10:50 a.m.
ROOM: Ayres 114
SPEAKER: Professor Luis Finotti
TITLE: "Introduction to Sage (part 2)"
ABSTRACT: I will discuss a few more features from Sage, and show some examples in calculus and linear algebra.

At the end we can discuss where to go from there.

MATH BIOLOGY SEMINAR
TIME: 12:45 – 1:35 p.m.
ROOM: NIMBioS Classroom
SPEAKER: Shi Chen, Vet. College Postdoc
ABSTRACT: "Animal Movements in Home Range"

JUNIOR COLLOQUIUM
TIME: 3:35 – 4:25 p.m.
ROOM: Ayres
SPEAKER: Professor K. Sundar, LSU
TITLE: "Probability and PDEs"
ABSTRACT: The use of probability theory to answer purely deterministic questions would, at first sight, seem paradoxical and surprising.

Starting from the basics, probabilistic reasoning will be employed in this talk to solve the Dirichlet problem and the heat equation. Extensions and applications will be briefly discussed.

Please join us for pizza at 3:15 p.m.

Friday, October 28, 2011

COLLOQUIUM
TIME: 3:35 – 4:25 pm
ROOM: Ayres 405
SPEAKER: Professor K. Sundar, LSU
TITLE: "Probabilistic Behavior of Stochastic Navier-Stokes Equations"
ABSTRACT: Incompressible viscous fluid flow in a two-dimensional bounded domain with random external forces lead to stochastic Navier-Stokes equations. The solvability of such systems under general randomperturbations will be established. Probabilistic behavior of such systems such as existence of invariant measures, ergodicity, and large deviations principle will be discussed.

Refreshments will be available in Ayres 401 at 3:15 p.m.

Past notices:

Seminars from 2010-2011 academic year