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Presented By: Colloquium Series - Department of Mathematics

p-adic representations and p-adic cohomologies

Gabriel Dospinescu (ENS Lyon)

I will give an introduction to the p-adic Langlands program for GL_2(Q_p), insisting on its geometric realization in the p-adic ├ętale cohomology of the tower of modular curves (due to Emerton) and its local analogue, the Drinfeld tower (based on work with Colmez and Niziol). This is a p-adic analogue of classical and celebrated results due to Langlands, Deligne, Drinfeld and Carayol.

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