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Algebra Seminar

Monday, April 24, 2017 - 3:30pm

Takehiko Yasuda

Osaka University


University of Pennsylvania

DRL 4N30

Note that the seminar will start 15 minutes later than the usual time.

I will talk about the motivic McKay correspondence in positive characteristic. I have formulated a conjecture relating the motivic stringy invariant of a quotient variety to a motivic count of Galois extensions of a power series field. This conjecture generalizes the motivic McKay correspondence by Batyrev and Denef-Loeser in characteristic zero. In the conjecture, a conjectural moduli space of Galois extensions of a power series field naturally appears. Its coarse moduli space has been constructed by Harbater in a special case. I will talk about how the conjecture arises, what is known about it, and my joint work in progress with Fabio Tonini on construction of the fine moduli space in a more general case.