|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Standard conjecture of Künneth type with torsion coefficients|
|Affiliation:||University of California, Santa Cruz|
|Date:||Thursday, April 21|
|Time/Room:||4:30pm - 5:30pm/S-101|
A. Venkatesh asked us the question, in the context of torsion automorphic forms: Does the Standard Conjecture (of Grothendieck's) of Künneth type hold with mod p coefficients? We first review the geometric and number-theoretic contexts in which this question becomes interesting, and provide answers: No in general (even for Shimura varieties) but yes in special cases.