Abstract:
The talk is based on a common work with D. Bergh, M. Larsen, and V.
Lunts. Given a variety with a finite group action, we compare categorical measures
of the corresponding quotient stack and the extended quotient. Using weak factorization for orbifolds, we show that for a wide range of cases, these two measures
coincide. This implies, in particular, a conjecture of Galkin and Shinder on categorical and motivic zeta-functions of varieties. We provide examples showing that, in
general, these two measures are not equal.
