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SUMMARY:An equivariant version of Gabber’s lemma
DTSTART:20261007T120000Z
DTEND:20261007T131500Z
DTSTAMP:20261002T172700Z
UID:indico-event-17487@indico.math.cnrs.fr
DESCRIPTION:Speakers: Filippo Belfiori (LAGA)\n\nGabber’s preparation le
 mma is a fundamental result in algebraic geometry\, originally established
  by Gabber in 1994 in his work on the exactness of certain Gersten complex
 es. Following the work of Morel\, Gabber’s lemma has become a cornerston
 e of motivic homotopy theory over fields\, the homotopy theory of algebrai
 c varieties. When algebraic varieties are equipped with an action of an al
 gebraic group G\, one can similarly define an equivariant motivic homotopy
  category\, providing a framework for studying the homotopy theory of vari
 eties with G-action. In this talk\, I will first recall Gabber’s prepara
 tion lemma and discuss some of its main consequences. I will then propose 
 and study an equivariant version of Gabber’s lemma for a finite constant
  abelian group G\, based on the C2-equivariant version introduced by Bachm
 ann. If time permits\, I will also discuss some applications of this equiv
 ariant version of Gabber’s lemma.\n\nhttps://indico.math.cnrs.fr/event/1
 7487/
LOCATION:Salle Pierre Grisvard (IHP)
URL:https://indico.math.cnrs.fr/event/17487/
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