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Department of Mathematics,
University of California San Diego

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Math 209 - Number Theory

Peter Wear

UC San Diego

Extended Robba rings and the Fargues-Fontaine curve

Abstract:

The Fargues-Fontaine curve is a fundamental object in p-adic Hodge theory. I will mention some of the important properties of the curve, then introduce the rings that are used to build the curve. These are the extended Robba rings; they share many properties with the one dimensional affinoid algebras of rigid analytic geometry. I will discuss these similarities, point out some key differences, and explain how to adapt some proofs from rigid geometry to bypass these differences. The pre-talk will give an overview of some of the basics of rigid analytic geometry.

Host: Claus Sorensen

September 28, 2017

2:00 PM

AP&M 7321

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