MS Seminar (Mathematics - String Theory)

Speaker: Ramesh Sreekantan (Indian Statistical Institute)
Title: Higher Chow cycles on Abelian surfaces
Date: Tue, Nov 13, 2012, 13:15 - 14:45
Place: Seminar Room A
Abstract: In this talk we use generalizations of beautiful classical geometric constructions of Kummer and Humbert to construct new higher Chow cycles on Abelian surfaces and K3 surfaces over p-adic local fields, generalising some work of Collino. The existence of these cycles is predicted by the poles of the local L-factor at p of the L-function of the Abelian surface. The techniques involve using some recent work of Bogomolov-Hassett and Tschinkel on the deformations of rational curves on K3 surfaces.