Breadcrumb Events / Past Events / Chow group of 0-cycles on a surface over a p-adic field with infinite torsion subgroup Date Mon, 04/30/2007 - 02:00 - Mon, 04/30/2007 - 03:00 Topic In this talk I would like to demonstrate how Hodge theory can play a crucial role in an arithmetic question. The issue is to construct an example of a projective smooth surface X over a p-adic field K such that for any prime l different from p, the l-primary torsion subgroup of CH0(X), the Chow group of 0-cycles on X, is infinite. A key step in the proof is disproving a variant of the Bloch-Kato conjecture which characterizes the image of an l-adic regulator map from a higher Chow group to a continuous étale cohomology of X by using p-adic Hodge theory. By the aid of the theory of mixed Hodge modules, we reduce the problem to showing the exactness of de Rham complex associated to a certain variation of Hodge structure, which follows from Nori's connectivity theorem. Speakers Shuji Saito University of Tokyo Additional Information 10th Anniversary Speaker Series 2007 Shuji Saito (University of Tokyo) Jump to Event Details This is a Past Event Event Type Scientific, Seminar Date April 30, 2007 Time 2:00am - 3:00am Location University of Alberta