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SUMMARY:Non-archimedean integration on quotients - Dimitri  Wyss  (EPFL - 
 Ecole Polytechnique Fédérale de Lausanne)
DTSTART:20240613T150000Z
DTEND:20240613T160000Z
UID:TALK217738@talks.cam.ac.uk
DESCRIPTION:Motivated by mirror symmerty\, Batyrev defines 'stringy' Hodge
  numbers for a variety X with Gorenstein canonical singularities using mot
 ivic integration. While in general it is an open question\, whether these 
 numbers are related to a cohomology theory\, the orbifold formula shows\, 
 that if X has quotient singularities\, they agree with Chen-Ruan's orbifol
 d Hodge numbers.\nI will explain how to generalize this orbifold formula t
 o quotients of smooth varieties by linear algebraic groups. As an applicat
 ion we obtain identifications of stringy Hodge numbers with enumerative in
 variants\, so-called BPS-invariants\, in the case when X is the moduli spa
 ce of a category of homological dimension 1. This is joint work with Micha
 el Groechenig and Paul Zigler.
LOCATION:Seminar Room 2\, Newton Institute
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