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SUMMARY:p-adic Hodge theory and Chow groups of Calabi-Yau 3-folds - Wayne 
 Raskind (Wayne State University)
DTSTART:20220714T133000Z
DTEND:20220714T143000Z
UID:TALK176603@talks.cam.ac.uk
DESCRIPTION:In a series of two papers\, Claire Voisin showed using Hodge t
 heory that if X is a nonrigid Calabi-Yau 3-fold over the complex numbers\,
  then for a general deformation of X\, the Griffiths group of codimension 
 two cycles module algebraic equivalence is not finitely generated. &nbsp\;
 This extends classic results of Griffiths and Clemens. &nbsp\;\nLet now F 
 be an algebraic closure of a finite field of characteristic p and W(F) its
  ring of Witt vectors\, which is the complete discrete valuation ring of m
 ixed characteristic (p\,0) with residue field F in which p is unramified. 
 &nbsp\;We examine a p-adic analogue where X is a lifting of an ordinary Ca
 labi-Yau 3-fold over F to W(F) using the deformation theory of ordinary Ca
 labi-Yau 3-folds that was developed in the thesis of Matthew Ward. &nbsp\;
 We use p-adic Hodge theory as originally developed in the ordinary reducti
 on case by Bloch-Kato and others. &nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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