Seminars Sorted by Series

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...

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...

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...

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...

I will discuss random band matrices, presenting some interesting conjectures that have appeared in the physics literature and some rigorous results which complete one end of the picture.

In this talk I will consider depth-three circuits having a MAJORITY gate at the output, MODULO(m) gates in the middle, and polylog-degree AND gates at the inputs. It is conjectured that such circuits need exponential size to compute the MODULO(q)...

Identity Testing is the following problem: given an arithmetic circuit C with coefficients from some field F, determine if the polynomial computed by the circuit is the identically zero polynomial or not. This problem admits a simple and efficient...