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Kazuma Shimomoto

What is perfectoid commutative ring theory?

Date: 2/18/2019
Time: 5:00PM-6:00PM
Place: 315 Armstrong Hall

Abstract: In 2011, Peter Scholze brought brilliant innovation to the world of arithmetic geometry over p-adic fields. While the basic theory of perfectoid spaces was developed from the scratch in his Ph.D. thesis, he succeeded in proving the ``Deligne's weight-monodromy conjecture" in many non-trivial cases. However, the main tools used in perfectoids are certain big commutative rings.

In this talk, I will start with some historical remarks on the birth of perfectoid spaces and present some basic and important examples of perfectoid rings to get familiar with their ideas. If time permits, I will also talk about some recent results in perfectoid ring theory.

Kazuma Shimomoto

Everyone is welcome to attend, and graduate students are encouraged to come.

Date, Location: 
2019-02-18