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Presented By: Dissertation Defense - Department of Mathematics

Dissertation Defense: A Berkovich Approach to Perfectoid Spaces

Attilio Castano

Abstract: Since their inception perfectoid spaces have catalyzed a revolution in p-adic geometry. We redevelop the foundations of perfectoid spaces from the point of view of Berkovich Spaces, where the underlying topological space of an affinoid perfectoid space is a compact Hausdorff space — closely resembling the situation in complex geometry. The key technical ingredient in our construction is arc_pi descent for perfectoid Banach algebras.

Hybrid Defense:
Room: 2437 Mason Hall
Join Zoom Meeting: https://umich.zoom.us/j/95138305325
Passcode: 648229

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