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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:p-adic Hodge theory and Chow groups of Calabi-Yau
3-folds - Wayne Raskind (Wayne State University)
DTSTART;TZID=Europe/London:20220714T143000
DTEND;TZID=Europe/London:20220714T153000
UID:TALK176603AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/176603
DESCRIPTION:In a series of two papers\, Claire Voisin showed u
sing Hodge theory that if X is a nonrigid Calabi-Y
au 3-fold over the complex numbers\, then for a ge
neral deformation of X\, the Griffiths group of co
dimension two cycles module algebraic equivalence
is not finitely generated. \;This extends cla
ssic results of Griffiths and Clemens. \;\nLe
t now F be an algebraic closure of a finite field
of characteristic p and W(F) its ring of Witt vect
ors\, which is the complete discrete valuation rin
g of mixed characteristic (p\,0) with residue fiel
d F in which p is unramified. \;We examine a
p-adic analogue where X is a lifting of an ordinar
y Calabi-Yau 3-fold over F to W(F) using the defor
mation theory of ordinary Calabi-Yau 3-folds that
was developed in the thesis of Matthew Ward.
\;We use p-adic Hodge theory as originally develop
ed in the ordinary reduction case by Bloch-Kato an
d others. \;
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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