Mathematics Colloquium

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Arithmetic Statistics in Function Fields

Speaker: Jon Keating, Bristol

Location: Warren Weaver Hall 1302

Date: Monday, February 2, 2015, 3:45 p.m.

Synopsis:

I will review some classical problems in number theory concerning the statistical distribution of the primes, square-free numbers and values of the divisor function; for example, fluctuations in the number of primes in short intervals and in different arithmetic progressions. I will then explain how analogues of these problems in the function field setting can be resolved by expressing them in terms of matrix integrals.