Jerusalem Mathematics Colloquium
Thursday, 27th December 2007, 4:00 pm
Mathematics Building, Lecture Hall 2
"Prime matrices, lattice points and ergodic theorems"
Consider the following two questions :
- Are there infinitely many 2 x 2 integral matrices of
determinant 2 all of whose elements are prime numbers ?
- 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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