**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 ?We 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.

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