Standard conjecture of Künneth type with torsion coefficients

Standard conjecture of Künneth type with torsion coefficients

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Junecue Suh , UC Santa Cruz
IAS Room 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.