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Speaker:

Raju Krishnamoorthy
Affiliation:

University of Georgia
Date:

Tue, 2020-02-18 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

Extra talk Let X/k be a smooth variety over a finite field. Motivated by work of Corlette-Simpson over the complex numbers, we formulate a conjecture that certain rank 2 local systems on X come from families of abelian varieties. After an introduction to l/p-adic companions, we explain how the existence of p-adic companions can be used to approach the conjecture via a Lefschetz-style theorem for families of abelian varieties in positive characteristic. This is joint work with A. Pál.

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