Around the Tate conjecture with integral coefficients

Tuesday, November 16, 2010 -
4:30pm to 6:30pm
Due to the analogy with the Hodge conjecture, it has been known for a long time that the Tate conjecture for algebraic cycles on varieties over finite fields does not hold if one considers the cycle map into \'etale cohomology with Z_\ell-coefficients. Still, some cases may be expected to hold and they have interesting consequences. We shall explain some of the negative and positive results.
Speaker: 
Tamás Szamuely
Hungarian Academy and University of Pennsylvania
Event Location: 
Fine Hall 322