Algebraic Geometry Seminar
Integral Versions of the Tate Conjecture Over Finite Fields
Speaker: Alena Pirutka, Centre de Mathématiques Laurent Schwartz
Location: Warren Weaver Hall 201
Date: Tuesday, October 14, 2014, 3:30 p.m.
In this talk we will discuss some examples when an integral version of the Tate conjecture holds, as well as some counterexamples. In particular, we will show how to use the unramified cohomology groups in this context. Following the approach of Atiyah-Hirzebruch and Totaro, we will also use Steenrod operations and classifying spaces of algebraic groups to provide a counterexample with a non-torsion non-algebraic cohomology class.