Title: Prime matrices, lattice points and ergodic theorems
Speaker: Professor Amos Nevo
Speaker Info: Technion, Israel
Brief Description:
Special Note:
Abstract:
Consider the following two questions : 1) Are there infinitely many 2 x 2 integral matrices of fixed determinant all of whose elements are prime ? 2) If so, how many such matrices one can expect to find in ball of radius T in the space of 2 x 2 matrices ?Date: Tuesday, September 25, 2007We will explain an approach towards this and more general problems, via non-Euclidean lattice point problems, ergodic theorems on Lie groups and sieve methods. This is joint work with Peter Sarnak.