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Categorical measures for varieties with finite group actions

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Sergey Gorchinskiy (Steklov Mathematical Institute of RAS, NRU HSE) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When May 17, 2018
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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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.