EVENT DETAILS AND ABSTRACT

Title: Counting Representations
Speaker: Nir Avni
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

Asymptotic Group Theory studies the behavior of a sequence of invariants attached to a group G. This talk will concentrate on representation growth, which studies the number of representations of G. For arithmetic groups, the number of representations of degree d grows polynomially with d, satisfies some (unknown) recursion, and admits some mysterious symmetries. I will discuss these and some connections between the representation growths of different groups. Surprisingly, all these results are proved using the Model Theory of p-adic numbers.