Seminars Sorted by Series

Short Talks by Postdoctoral Members

Oct
04
2005

Short Talks by Postdoctoral Members

Deformed Harish-Chandra Homorphism for the Cyclic Quiver
2:00pm|S-101

The rational degeneration of the double affine Hecke algebras associated to the Weyl group $W$ is a rational Cherednik algebra $H_W$ associated to $W$. Deformed Harish-Chandra homorphism is an analog of the Berstein-Beilinson localization for the...

Oct
04
2005

Short Talks by Postdoctoral Members

Fitting a Smooth Function to Data
4:00pm|S-101

Suppose we are given a finite subset E in an n-dimensional real space, and a real valued function f defined on E. How to extend f to a C^m smooth function F, defined on the entire R^n, with C^m norm of the smallest possible order of magnitude? We...

Oct
05
2005

Short Talks by Postdoctoral Members

Mahler Measure and Values of Regulators
2:00pm|S-101

The Mahler measure of an n-variable polynomial P can be defined as the integral of log|P| over the n-dimensional unit torus T^n with the Haar measure. While the algebraic nature of the values of Mahler measure for the one-variable case is well...

Oct
06
2005

Short Talks by Postdoctoral Members

Strong Approximation on Random Towers of Graphs
4:00pm|S-101

I will explain, in elementary graph theoretic terms, the strong approximation phenomenon in linear groups as it was discovered by Weisfeiler and Nori. It turns out that the strong approximation phenomenon holds also for some random families of...