On the Lefshetz Standard Conjecture

**Speaker**: Dr Jose J. Ramon Mari

**Time**: 5:00PM**Date**: Wed 14th February 2007

**Location**: Mathematical Sciences Seminar Room

**Abstract**

The subject of the talk will be Grothendieck's Lefshetz standard conjecture B(X), which says that a certain operator, Lambda, on the cohomology of the smooth projective variety X is algebraic. Our main result is that if X has dimension n, and if B(Y) holds for all smooth projective varieties Y of dimension n-1 over the field k(t), then Lambda - p is algebraic, where p is the restriction of Lambda to a certain small subspace of cohomology.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)

## Social Media Links