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PRODID:-//Memento EPFL//
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SUMMARY:The direct summand conjecture and its derived variant
DTSTART:20170504T141500
DTEND:20170504T151500
DTSTAMP:20260414T234944Z
UID:840ab79049951c8ab920e5ae5fe631e7fd63602a73d2b1ed46cad543
CATEGORIES:Conferences - Seminars
DESCRIPTION:Bhargav Bhatt (University of Michigan)\nIn the late 60s\, Hoch
 ster conjectured that every regular ring is a direct summand\, as a module
 \, of any finite extension. Soon thereafter\, Hochster himself proved his 
 conjecture in equicharacteristic\, and these ideas were crucial to the con
 ception of the modern theory of F-singularities. In the mixed characterist
 ic setting\, Hochster’s conjecture was settled very recently by Yves And
 re using perfectoid geometry. In my talk\, I’ll discuss a proof of Hochs
 ter’s conjecture\, and explain why related ideas also help establish a d
 erived variant of the conjecture put forth by de Jong. One of my main goal
 s in this talk to explain why passing from a mixed characteristic ring to 
 a perfectoid extension is a useable analog of the passage to the perfectio
 n (direct limit over Frobenius) in characteristic p.
LOCATION:CO 015
STATUS:CONFIRMED
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