Equidistribution and primes


Peter Sarnak

Princeton University

Harvard University

Thursday, February 21, 2008


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


Abstract:   We review briefly various classical problems concerning the existence of primes or numbers with few prime factors as well as some of the developments towards resolving these long standing questions. We then put these problems in a natural and geometric context of actions by morphisms on affine n-space. We outline a theory that has been developed in this context and some its applications to classical problems .The methods used to develop a combinatorial sieve in this setting involve automorphic forms ,expander graphs and unexpectedly arithmetic combinatorics.


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Posted: February 11, 2008    URL: