| Abstract: |
Over complex numbers, a corollary of motivic McKay correspondence, known as Batyrev's theorem, gives an equality between number of conjugacy classes of a finite subgroup of SL(n) and Euler number of crepant resolution (existence is assumed) of the associated quotient singularity. However, its analog in positive characteristic fails in general. To deal with characteristic p, wild McKay correspondence is developed by Yasuda via motovic approach. In this talk, after giving a short summary on some basic facts and examples of wild McKay correspondence, I will introduce a result on analog of Batyrev's theorem in positive characteristic for a series of specific modular quotient singularities. |
