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Motivic integration for some varieties with a torus action

Presented by: 
Clélia Pech University of Kent
Date: 
Thursday 6th February 2020 - 11:15 to 12:15
Venue: 
INI Seminar Room 2
Abstract: 
Motivic integration was introduced by Kontsevich in 1995 and has proved useful in birational geometry and singularity theory. It assigns to constructible subsets of the arc space of a variety a "volume" which takes values in the Grothendieck ring of algebraic varieties, and it behaves in many ways just like usual integration. I will explain how motivic integration can be used to compute Batyrev's "stringy invariants", which are a generalization of Hodge numbers to singular varieties, for a family of varieties with a torus action. A potential application is to the study of mirror symmetry for these varieties. (Joint with K. Langlois and M. Raibaut.)




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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons