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SUMMARY:Serin Hong (Univ. of Michigan)
DTSTART:20211207T210000Z
DTEND:20211207T220000Z
DTSTAMP:20260423T010005Z
UID:UAANTS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/30/">
 Classification theorems for vector bundles on the Fargues-Fontaine curve</
 a>\nby Serin Hong (Univ. of Michigan) as part of University of Arizona Alg
 ebra and Number Theory Seminar\n\n\nAbstract\nThe Fargues-Fontaine curve h
 as played a pivotal role in the recent development of arithmetic geometry.
  Most notably\, the work of Fargues-Scholze constructs the local Langlands
  correspondence in a form of the geometric Langlands correspondence for th
 e Fargues-Fontaine curve. In addition\, Fargues shows that the Fargues-Fon
 taine curve provides a geometric interpretation for Galois cohomology of l
 ocal fields and much of the classical p-adic Hodge theory. \n\nIn this tal
 k\, we discuss several classification theorems for vector bundles on the F
 argues-Fontaine curve. In particular\, we give a complete classification o
 f all subsheaves\, quotients\, and minuscule modifications of a given vect
 or bundle on the Fargues-Fontaine curve. We also discuss some applications
  of these theorems in the context of the local Langlands correspondence.\n
LOCATION:https://researchseminars.org/talk/UAANTS/30/
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