Research-Syntomic cohomology of rigid spaces with coefficients

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Syntomic cohomology of rigid spaces with coefficients

Speaker: Maximilian Hauck（MPIM-Bonn）
Time: Jun 4, 2026, 16:00-17:00
Location: Zoom ID: 962 3347 5332, Password: sustech123

Abstract

I will introduce the rational analytic syntomification of a partially proper rigid space over Q_p, which is a stack geometrising syntomic cohomology in the sense of Colmez--Niziol. This leads to a notion of syntomic cohomology of rigid spaces with coefficients and I will discuss

(1) what this category of coefficients is in more classical terms and

(2) how to use the geometry of the syntomification to prove p-adic comparison theorems for rigid-analytic varieties with coefficients.

Time permitting, I will also sketch an extension of these ideas to integral coefficients.