This talk will provide an informal introduction to perfectoid spaces. After some preliminary motivation, we will begin by defining perfectoid fields and algebras, which then globalize to perfectoid spaces. We will see some examples and, if time permits, discuss how perfectoid spaces can be used to prove many cases of the weight-monodromy conjecture in mixed characteristic via reduction to the equicharacteristic case. Speaker(s): Emanuel Reinecke (UM)
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