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SUMMARY:Tomasso de Fernex (University of Utah)
DTSTART:20210211T180000Z
DTEND:20210211T190000Z
DTSTAMP:20260423T021358Z
UID:ZAG/94
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/94/">Mot
 ivic integration on Berkovic spaces</a>\nby Tomasso de Fernex (University 
 of Utah) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nT
 he purpose of the talk is to offer a new perspective on motivic integratio
 n. Working over a field with trivial norm\, I will introduce a motivic mea
 sure on the Berkovich analytification of an algebraic variety and define i
 ntegration in this setting. The construction is geometric with a similar s
 pirit as Kontsevich’s original definition\, and leads to the formulation
  of a functorial theory which mirrors\, in this aspect\, the functoriality
  of Cluckers and Loeser's approach via constructible motivic functions. Th
 e approach does not rely on model theory but rather on geometric propertie
 s such as resolution of singularities and the weak factorization theorem. 
 The talk is based on joint work with Chung Ching Lau.\n
LOCATION:https://researchseminars.org/talk/ZAG/94/
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