Seminario Conexión de GALoiS - 26.4.24 - Michael HARRIS - p-adic uniformization(s) of Shimura curves

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Andrés Villaveces

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Apr 23, 2024, 5:26:00 PMApr 23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo, Anatoly Libgober, Departamento de Matem�ticas Ciencias, Michael Harris, Boris Zilber, Gustavo Cipagauta, Juan Nido, Alexis De Greiff
Friday, 26 April, 12:00 to 13:30 Chicago and Bogotá time - 17:00 GMT


Michael HARRIS - Columbia University

p-adic uniformization(s) of Shimura curves

Abstract:  I will explain two theories of uniformization of the p-adic points of a Shimura curve.  One is based on the theory of moduli of p-divisible groups and goes back to 50-year old work of Cherednik and Drinfeld, and was generalized by Rapoport and Zink to other moduli spaces of abelian varieties.  The other is more recent and is based on Scholze's theory of perfectoid spaces.  Both of them are analogous, in different ways, to the complex uniformization.  I will say nothing new but will rather try to make the constructions clear enough to allow the audience to see whether or not there is room to study these uniformizations from the standpoint of categoricity.

Andrés Villaveces

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Apr 26, 2024, 10:09:01 AMApr 26
to logbog, John Baldwin, John Alexander Cruz Morales, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo, Anatoly Libgober, Departamento de Matem�ticas Ciencias, Michael Harris, Boris Zilber, Gustavo Cipagauta, Juan Nido, Alexis De Greiff, coocurm...@unal.edu.co
No olviden, hoy viernes a mediodía (Bogotá), habla Michael HARRIS (Columbia University) para el Conexión de GALoiS sobre uniformizaciones p-ádicas de curvas de Shimura:

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