Un of Tenn | Math Department

Seminars and Colloquiums
for the week of February 13, 2012

Speaker:

Dr. Gesham Magombedze, NIMBioS postdoc, Monday
Ms. Parisa Fatheddin, Monday
Mr. Jimmy Sunkes, Monday
Prof. Jim Conant, Wednesday
Prof. Jonathan Rubin, University of Pittsburgh, Department of Mathematics, 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, February 13

MATH BIOLOGY SEMINAR
TIME: 2:30-3:20
ROOM: Ayres 121
SPEAKER: Dr. Gesham Magombedze, NIMBioS postdoc
TITLE: FME (R package) for sensitivity analysis in ODEs

PROBABILITY SEMINAR
TIME: 3:35 – 4:25 p.m.
ROOM: Ayres 122
SPEAKER: Ms. Parisa Fatheddin
TITLE: Large Deviation Principle for Some Measure-Valued Processes
ABSTRACT: In much of the literature on Stochastic Partial Differential Equations (SPDE), the equations' terms are assumed to be Lipschitz continuous. In this talk a general SPDE in which the difusion term is non-Lipschitz is considered. As an application, the Large Deviation Principle is derived for Superbrownian motion and Fleming-Viot processes.

ALGEBRA SEMINAR
TIME: 3:35 - 4:25
ROOM: Ayres B004
SPEAKER: Mr. James Sunkes
TITLE: Ring-Theoretic Properties of Holomorphic Functions
ABSTRACT: In this talk, I will discuss the ring-theoretic properties of complex differentiable functions. Namely, I will show that the collection of holomorophic functions on a nonempty, connected, open subset of the complex plane is an integral domain, a Bezout domain, and a Prufer domain. I will also show that this ring is not Noetherian, not a UFD, not a PID, and does not satisfy ACCP. The latter four conditions are equivalent for a Bezout domain, but I will provide specific examples to show why some of these properties fail. In order to prove some of the results, we will need theorems from a first and second year course in complex analysis. These results will be mentioned and discussed but not proven.

Wednesday, February 15

TOPOLOGY SEMINAR
TIME: 2:30 - 3:20 pm
ROOM: Ayres G004
SPEAKER: Prof. Jim Conant
TITLE: An introduction to the Novikov conjecture - 2??
ABSTRACT: I will attempt to introduce all of the necessary topological ingredients to understand Novikov's conjecture in the way it was originally presented by him in a 1970 paper. I will be following the book by Matthias Kreck and Wolfgang Lück.

Friday, February 17

COLLOQUIUM
TIME: 3:35 – 4:25 pm
ROOM: Ayres 405
SPEAKER: Prof. Jonathan Rubin, University of Pittsburgh, Department of Mathematics
TITLE: Bursting in neurons and networks
ABSTRACT: Neurons are amazing physical structures, capable of generating a wide variety of complex activity patterns. In this talk, after providing a brief introduction to how neurons operate, I will focus on an interesting general form of neuronal activity called bursting, which contributes to a range of brain functions. Bursting can be represented as a complicated solution to a class of dynamical systems, and I will show how bursting emerges through the presence of certain features in dynamical systems with two or more time scales. I will also present results on emergent bursting in networks of coupled neurons. I will not assume any background in neuroscience or dynamical systems for this talk.

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

Past notices:

winter break