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The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 11, 2016 15:50, Moscow, Steklov Mathematical Institute of RAS, Gubkina, 8
 


Categorical measures for varieties with finite group actions

S. O. Gorchinskiy

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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S. O. Gorchinskiy
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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, which 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.

Language: English

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