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Arithmetic loci of étale rank 1 local systems

Duke Math
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Wednesday, March 04, 2020
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3:15 pm - 4:15 pm
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Helene Esnault (Freie Universitat Berline and IAS)
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Number Theory Seminar

I'll give our definition of them, in analogy to Simpson's bialgebraicity notion over the complex numbers, explain what special properties they have, and mention some corollaries (notably hard Lefschetz in rank 1 in positive characteristic). Joint with Moritz Kerz.