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Algebra and Geometry Seminar

Monday, February 4, 2019
4:00pm to 5:00pm
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Linde Hall 387
Rank 2 local systems and abelian varieties
Raju Krishnamoorthy, Department of Mathematics, University of Georgia,
Let X/k be a smooth variety over a finite field. Motivated by work of Corlette-Simpso​n 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. We also prove Lefschetz theorems for families of abelian varieties over F_q, analogous to work of Simpson over C. This is joint work with A. Pál.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].