Counting Representations of Arithmetic Groups

ARITHMETIC HOMOGENEOUS SPACES
Topic:Counting Representations of Arithmetic Groups
Speaker:Alex Lubotzky
Affiliation:IAS
Date:Friday, January 27
Time/Room:11:00am - 12:00pm/S-101

Given a higher rank arithmetic group (E.g. SL(3,Z)) it has r(n) complex irreducible representations of degree n. We will study the the rate of growth of r(n), the associated zeta function SUM(r(n)n^(-s)), its Euler factorisation etc. Some connections with subgroup growth, congruence subgroup property and super-rigidity will be shown. (Based on joint works with B. Martin and with M. Larsen.