Jerusalem Mathematics Colloquium

Thursday, 27th December 2007, 4:00 pm
Mathematics Building, Lecture Hall 2

Amos Nevo

"Prime matrices, lattice points and ergodic theorems"


Consider the following two questions :
  1. Are there infinitely many 2 x 2 integral matrices of determinant 2 all of whose elements are prime numbers ?
  2. If so, how many such matrices one should expect to find in ball of radius T in the space of 2 x 2 matrices ?

We will explain an approach towards these questions, via sieve methods, non-Euclidean lattice point problems, and ergodic theorems on Lie groups. Based on joint work with Peter Sarnak.

Light refreshments will be served in the faculty lounge at 3:30.

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