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Joint Seminar: Galois representation and coherent cohomology September 30, 2014 (03:30 PM PDT - 04:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Benoit Stroh (Institut de Mathématiques de Jussieu)
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A classical conjecture in the Langlands program asserts that coherent cohomology classes on Shimura varieties that are eigen for the action of the Hecke operators should give rise to Galois representations. For classes in H^0  it is a consequence of the p-adic interpolation by multiplication of powers of a lifting of Hasse invariant. We present here a method to tackle the case of higher cohomology groups, building on the recent work of Scholze on Shimura varieties at infinite level and the new Hasse invariants defined at this level. Joint work with Pilloni.

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