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SUMMARY:On Hodge-Witt Sheaves with Modulus
DTSTART:20260618T090000Z
DTEND:20260618T103000Z
DTSTAMP:20260615T185200Z
UID:indico-event-16672@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Atsushi Shiho (The University of Tokyo)\n\nSéminair
 e de géométrie arithmétique\nLet k be a perfect field of characteristic
  p > 0. The Hodge-Witt sheaf is a sheaf with transfer on the category of s
 mooth k-varieties. However\, since it does not satisfy the cohomological A
 1-invariance\, the Hodge-Witt cohomology is not representable in Voevodsky
 's category of motives. One way to overcome this drawback is to consider t
 he category of motives with modulus defined by Kahn-Miyazaki-Saito-Yamazak
 i. We define the Hodge-Witt sheaf for modulus pairs over k satisfying the 
 properties called the cohomological cube invariance and the cohomological 
 blow-up invariance. These imply that the Hodge-Witt cohomology is represen
 table in the category of motives with modulus under resolution of singular
 ities. Also\, we try to discuss properties of our Hodge-Witt sheaves for m
 odulus pairs and possible relationship with another construction by Ren-Ru
 lling. This is partly joint work in progress with Veronika Ertl. \n======
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LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/16672/
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