Overconvergence of étale (phi,Gamma)-modules in families

In recent years there has been growing interest in realizing the collection of Langlands parameters in various settings as a moduli space with a geometric structure.  In particular, in the p-adic Langlands program, this space should come in two different forms of moduli spaces of (phi,Gamma)-modules: there is the Banach stack (also called the Emerton-Gee stack) and the analytic stack.  In this talk, I will present a proof of a recent conjecture of Emerton, Gee, and Hellmann concerning the overconvergence of étale (phi,Gamma)-modules in families, which gives a link between the two different moduli spaces.

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https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062