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SUMMARY:Birgit Richter (Universität Hamburg)
DTSTART:20201019T140000Z
DTEND:20201019T150000Z
DTSTAMP:20260423T021231Z
UID:OATS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OATS/13/">De
 tecting and describing ramification for structured ring spectra</a>\nby Bi
 rgit Richter (Universität Hamburg) as part of Online algebraic topology s
 eminar\n\n\nAbstract\nThis is a report on joint work in progress with Eva 
 Höning. \n\nRamification for commutative ring spectra can be detected by 
 relative topological Hochschild homology and by the spectrum of Kähler di
 fferentials. For rings of integers in an extension of number fields\, it i
 s important to distinguish between tame and wild ramification. Noether's t
 heorem characterizes tame ramification in terms of a normal basis and tame
  ramification can also be detected via the surjectivity of the norm map. W
 e take the latter fact and use the Tate cohomology spectrum to detect wild
  ramification in the context of commutative ring spectra. In the talk\, I 
 will discuss several examples in the context of topological K-theory and m
 odular forms.\n
LOCATION:https://researchseminars.org/talk/OATS/13/
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