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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > p-adic Hodge theory and Chow groups of Calabi-Yau 3-folds

## p-adic Hodge theory and Chow groups of Calabi-Yau 3-foldsAdd to your list(s) Download to your calendar using vCal - Wayne Raskind (Wayne State University)
- Thursday 14 July 2022, 14:30-15:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. KAH2 - K-theory, algebraic cycles and motivic homotopy theory In a series of two papers, Claire Voisin showed using Hodge theory 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. This extends classic results of Griffiths and Clemens. Let 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 mixed characteristic (p,0) with residue field F in which p is unramified. We examine a p-adic analogue where X is a lifting of an ordinary Calabi-Yau 3-fold over F to W(F) using the deformation theory of ordinary Calabi-Yau 3-folds that was developed in the thesis of Matthew Ward. We use p-adic Hodge theory as originally developed in the ordinary reduction case by Bloch-Kato and others. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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