# 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