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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Motivic integration for some varieties with a toru
s action - ClĂ©lia Pech (University of Kent)
DTSTART;TZID=Europe/London:20200206T111500
DTEND;TZID=Europe/London:20200206T121500
UID:TALK139252AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/139252
DESCRIPTION:Motivic integration was introduced by Kontsevich i
n 1995 and has proved useful in birational geometr
y and singularity theory. It assigns to constructi
ble subsets of the arc space of a variety a "volum
e" which takes values in the Grothendieck ring of
algebraic varieties\, and it behaves in many ways
just like usual integration. I will explain how m
otivic integration can be used to compute Batyrev&
#39\;s "stringy invariants"\, which are a generali
zation of Hodge numbers to singular varieties\, fo
r a family of varieties with a torus action. A pot
ential application is to the study of mirror symme
try for these varieties. (Joint with K. Langlois a
nd M. Raibaut.)

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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