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PRODID:-//Memento EPFL//
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SUMMARY:Ramification in Homotopy Theory
DTSTART:20220329T170000
DTEND:20220329T180000
DTSTAMP:20260406T144345Z
UID:72593177afd496a265d4be38f50de03587e0365753cae600efb98379
CATEGORIES:Conferences - Seminars
DESCRIPTION:John Berman\, University of Massachusetts Amherst\nI will disc
 uss a new homotopy theoretic generalization of the idea of ramification\, 
 in the sense of number theory. Understanding the ramification of an extens
 ion of number fields is useful for calculations. By comparison\, the new h
 omotopical version leads to a greatly simplified calculation of Topologica
 l Hochschild Homology (THH) of a ring of integers in a number field. On th
 e other hand\, the new definition allows us to talk about ramification of 
 extensions of ring spectra like ku/ko. Therefore\, there are hopeful appli
 cations to computing THH and K-theory in chromatic homotopy theory setting
 s. I will survey some of these ideas\, assuming some background with spect
 ra but not with algebraic number theory.
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
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