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Home » NGM Pizza Seminar: Generic smoothness for G-valued potentially semi-stable deformation rings

Seminar

NGM Pizza Seminar: Generic smoothness for G-valued potentially semi-stable deformation rings October 17, 2014 (11:00 AM PDT - 11:45 AM PDT)
Parent Program: New Geometric Methods in Number Theory and Automorphic Forms
Location: MSRI: Simons Auditorium
Speaker(s) Rebecca Bellovin
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Kisin showed that the generic fibers of potentially semi-stable (framed) deformation rings of p-adic Galois representations valued in GL_n are generically smooth, and he computed their dimensions.  I will explain how to extend these results to Galois representations valued in an arbitrary connected reductive group G.  If time permits, I will give an example showing that the corresponding schemes can have singular components.  The key tool is the geometry of the nilpotent cone.

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