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A short introduction to non-archimedean geometry

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  • UserGuillem Garcia-Tarrach, University of Cambridge
  • ClockFriday 20 May 2022, 16:00-17:00
  • HouseMR13.

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Since their introduction 125 years ago, p-adic numbers have become ever-present in number theory. When trying to develop a geometric theory analogous to that of complex manifolds in the p-adic setting, one runs into an immediate problem: the (topological) field of p-adic numbers is totally disconnected. In this talk I will explain how this can be overcome using the theory of adic spaces. I will do so by focusing on some concrete examples.

This talk is part of the Junior Geometry Seminar series.

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