Manish Kumar : Beilinson's Hodge and Tate conjectures

Posted by , part of the Algebraic Geometry Seminar.

At

Feb. 4, 2010, 4 p.m.

In

SEO 636

Abstract

Analogus to Hodge and Tate conjectures, Beilinson conjectured the surjectivity of the "regulator" map from "higher Chow groups" to the space of Hodge (resp. Tate) cycles of appropriate weight for a smooth quasi-projective varieties. I will explain the meaning of these words and discuss the conjectures for varieties dominated by product of curves. This is a joint work with Donu Arapura.