"Motivic Integration and counting conjugacy classes in algebraic groups over number fields"

Seminar series

Advanced Class Logic

Date

Thu, 20 Oct 2011
11:00

Location

SR2

Speaker

Jamshid Derakhshan

Organisation

Oxford

This is joint work with Uri Onn. We use motivic integration to get the growth rate of the sequence consisting of the number of conjugacy classes in quotients of G(O) by congruence subgroups, where $G$ is suitable algebraic group over the rationals and $O$ the ring of integers of a number field.

The proof uses tools from the work of Nir Avni on representation growth of arithmetic groups and results of Cluckers and Loeser on motivic rationality and motivic specialization.