Moduli spaces in p-adic non-abelian Hodge theory

Abstract: In analogy to Simpson's non-abelian Hodge theory over the complex numbers, the p-adic Simpson correspondence over non-archimedean fields like \(C_p\) aims to relate p-adic representations of the étale fundamental group of a smooth proper rigid space \(X\) to Higgs bundles on \(X\). In this talk, I will introduce p-adic moduli spaces for either side of the correspondence, and explain how these can be compared by way of a non-abelian generalisation of the Hodge-Tate sequence. This allows one to construct new geometric incarnations of the p-adic Simpson correspondence, and to interpret the choices necessary for its formulation in a geometric fashion.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Zoom ID: 818 0595 3631

Zoom password: 746304

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POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

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