Galois representations over pseudorigid spaces

Abstract: In the past few years, extended eigenvarieties with "boundary" in positive characteristic have been constructed as "pseudorigid spaces". I will discuss the construction of $(\varphi,\Gamma)$-modules for $p$-adic Galois representations with coefficients in pseudoaffinoid algebras and discuss some of their properties. I will conclude by giving applications to the extended eigencurve at the boundary of weight space.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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