Markus Pflaum (University of Colorado Boulder) State spaces in quantum mechanics Part 4: Uhlmann connection
Wed, Oct. 14 4:40pm (MATH 3…
Grad Student Seminar
Alex Lajeunesse (CU Boulder)
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The rational numbers admit an infinite family of distinct absolute value functions, apart from the normal one. Completing with respect to these absolute values leads to the fields of p-adic numbers for primes p. This talk will introduce these fields, focusing on their nature as bridges between characteristic 0 and p. We will discuss how Galois theory can be transported along this bridge, culminating in the definition of perfectoid fields and the tilting correspondence of Fontaine-Wintenberger and Scholze. This is intended to be a warm-up for the DeLong lectures being given by Prof. Bhargav Bhatt the following week.
The tilting correspondence in mixed characteristic
The tilting correspondence in mixed characteristic