Perfectoid spaces-I

Abstract: In the first talk, I begin with a historical review of perfectoid geometry. Then I talk about the definition of perfectoid rings and tilting operations. Some basic examples are examined. I also show how to use perfectoid rings by introducing recent results obtained by several people. I end with a remark on a classical result on valuation rings.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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