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.
Tamás Szamuely
Hungarian Academy and University of Pennsylvania
Event Location: 
Fine Hall 322