Friday, April 15, 2005
| Topic |
Absolute Minimizers on Carnot Groups |
| Speaker |
Thomas Bieske |
Time |
5:00-6:00 p.m. |
| Place |
PHY 120 |
Abstract
Aronsson (1967) first considered the problem of canonically extending a
Lipschitz function on the boundary of a domain in Rn into the whole
domain without raising the Lipschitz constant. This problem was solved by R.
Jensen (1993). We consider the same problem in a class of non-abelian groups,
called Carnot groups, which are also non-isotropic metric spaces.
In addition, properties of such minimizers are discussed.
Friday, February 25, 2005
| Topic |
Generalizations of Chebyshev Polynomials and Polynomial Mappings |
| Speaker |
James Griffin
University of Central Florida |
Time |
5:00-6:00 p.m. |
| Place |
PHY 120 |
Abstract
Generalized Chebyshev Polynomials orthogonal on two disjoint intervals have
a representation in terms of elliptic functions. I will present the general
case on several intervals and discuss their application to inverse images of
a single interval under a polynomial mapping. I will also discuss some recent
results on further generalizations of the classical orthogonal polynomials
to the several interval case.
Friday, February 18, 2005
| Topic |
How come 1 + 1 = 3? |
| Speaker |
Wen-Xiu Ma |
Time |
5:00-6:00 p.m. |
| Place |
PHY 120 |
Friday, February 11, 2005
| Topic |
Plancherel-Rotach asymptotics for q-orthogonal
polynomials and a q-Airy function |
| Speaker |
Mourad Ismail
University of Central Florida |
Time |
5:00-6:00 p.m. |
| Place |
PHY 120 |
Friday, February 4, 2005
| Topic |
Algebra of Approximation: Introductory overview |
| Speaker |
Boris Shekhtman |
Time |
5:00-6:00 p.m. |
| Place |
PHY 120 |
Abstract
This seems to be a hot new topic with many possibilities for interesting
discoveries in Analysis and Algebraic Geometry.