Seminars and Colloquiums
for the week of April 19, 2010
Speaker:
Andreas Basse-O’Connor , Monday
Mr. Jared Bunn, Wednesday
Professor Carl Sundberg, Wednesday
Professor Lou Gross, Thursday
Professor Vladimir Oliker, Emory University, Friday
Monday, April 19
PROBABILITY SEMINAR
TIME: 10:10 – 11:00 a.m.
ROOM: AC 113
SPEAKER: Andreas Basse-O’Connor (University of Tennessee)
TITLE: “Stochastic integration on the real line”
ABSTRACT: Stochastic integration on compact intervals is very well developed, and it is well-known that each finite L^0-valued measure on the predictable sigma-field corresponds to a semimartingale. In this talk we will consider stochastic integration on the real line with respect to sigma-finite measures on the predictable sigma-field. Such an integration theory will e.g. enable us to define moving averages in full generality. We provided necessary and sufficient conditions for the integral to exist and as an example the generalized Ornstein-Uhlenbeck process is seen to fit nice into this setting. Finally, we will discuss martingales on the real line and their properties as time tends to minus infinity. This will give us conditions for some improper integrals to exist.
Wednesday, April 21
ALGEBRA SEMINAR
TIME: 3:30 p.m.
ROOM: 113 A
SPEAKER: Mr. Jared Bunn
TITLE: "Proof of Lambek's Theorem"
ABSTRACT: We will present a proof of a result by J. Lambek that states that a module is flat if and only if its character module is injective.
ANALYSIS SEMINAR
TIME: 3:35 p.m.
ROOM: HBB 132
SPEAKER: Professor Carl Sundberg
TITLE: “Nonharmonic Fourier Series – CONTINUATION
ABSTRACT: (see pdf)
I will give an introduction to nonharmonic Fourier series and discuss some recent joint work with Marcus Carlsson.
Thursday, April 22
JUNIOR COLLOQUIUM
TIME: 3:35 – 4:25 p.m.
ROOM: HBB 102
SPEAKER: Professor Lou Gross, Director, National Institute for Mathematical and Biological Synthesis, James R. Cox Distinguished Professor of Ecology and Evolutionary Biology and Mathematics
TITLE: “What's math got to do with it? Connections between math and biology at NIMBioS”
ABSTRACT: The biological sciences have been in transition over the past decades from a science based almost exclusively on analysis of experimental and field observations, to one in which mathematical and computational methods have taken a major role in advancing not just data analysis, but the entire process by which the science has proceeded. Entire sub-disciplines of biology rely heavily on new quantitative methods to generate hypotheses, collect disparate information across biological, temporal and spatial scales, and model the complex interactions connecting biological systems. I will present a few examples of problems arising in the life sciences that have been investigated using mathematics and give some suggestions of how mathematics students might collaborate with life scientists to
develop new insight into fundamental and applied biology.
Friday, April 23
COLLOQUIUM
TIME: 3:35 – 4:25 p.m.
ROOM: HBB 102
SPEAKER: Professor Vladimir Oliker, Emory University
TITLE: “The Aleksandrov problem and optimal transport on $S^n$”
ABSTRACT: The purpose of this talk is to describe a variational approach to the problem of A.D. Aleksandrov concerning existence and uniqueness of a closed convex hypersurface in Euclidean space $R^{n+1}, ~n \geq 2$ with prescribed integral Gauss curvature. It is shown that this problem in variational formulation is closely connected with the problem of optimal transport on $S^n$ with a geometrically motivated cost function.
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. Steve Wise.
Week of:
3_8_10.html (spring break)
Past notices:
Seminars from 2008-2009 academic year
Seminars from 2007-2008 academic year
Seminars from 2006-2007 academic year