Thursday, October 31 2019
15:30 - 16:30

Alladi Ramakrishnan Hall

Representation growth of arithmetic groups

Uri Onn

Australian National University

Representation growth is a branch of asymptotic group theory that studies
the arithmetic and asymptotic properties of sequences (r_n(G)), whose n-th term
enumerates the number of equivalence classes of n-dimensional irreducible
representations of a group G. For groups with polynomial representation growth one may
encode the representation growth sequence in a Dirichlet generating function, called the
representation zeta function. In this talk I will describe recent developments in the
study of representation zeta functions of arithmetic groups.

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