EVENT DETAILS AND ABSTRACT

Title: Rank 2 local systems and abelian varieties
Speaker: Raju Krishnamoorthy
Speaker Info: University of Georgia
Brief Description:
Special Note:
Abstract:

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 a complete set of p-adic companions can be used to approach the conjecture. This is joint work with A. Pál.