Standard conjecture of Künneth type with torsion coefficients

Joint IAS/Princeton University Number Theory Seminar
Topic:Standard conjecture of Künneth type with torsion coefficients
Speaker:Junecue Suh
Affiliation:University of California, Santa Cruz
Date:Thursday, April 21
Time/Room:4:30pm - 5:30pm/S-101
Video Link:https://video.ias.edu/puias/2016/0421-Suh

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.