A step-by-step introduction to p-adic Hodge theory

Abstract: Shimura varieties are families of Hodge structures. If our goal is to understand the p-adic analogues of the Shimura varieties, it will be necessary to understand some p-adic Hodge theory. We will build up our understanding in four steps: the complex picture, the perfect field picture, the C_p picture, and the picture over a perfectoid base.

number theoryrepresentation theory

Audience: researchers in the topic

( slides | video )

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Automorphic Project & Research Seminar

Series comments: For the rest of the 2022 spring semester, the seminar is switching to a new format, with the goal of preparing the audience for the IHES summer school on the Langlands program. We will have background talks only, with a talk on Monday evening or Tuesday morning ET, followed by a "watch party" on Tuesday morning or Tuesday evening ET, respectively, in order to accommodate participants from any time zone. The "watch parties" will feature a streaming of the recent talk, with the possibility to interrupt for questions, as in the live talks. (Recordings will be posted here after the watch party; click on "Past talks" on the seminar calendar to access them.)

We will also try to update the Automorphic Project, while having these talks. Please contact the organizers if you are interested in contributing to that!

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