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SUMMARY:K-theory of cusps - Lars Hesselholt (Nagoya University\; Universit
 y of Copenhagen)
DTSTART:20181023T143000Z
DTEND:20181023T153000Z
UID:TALK113389@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In the early nineties\, the Buonos Aires Cyclic Homology group
  calculated the Hochschild and cyclic homology of hypersurfaces\, in gener
 al\, and of the coordinate rings of planar cuspical curves\, in particular
 . With Corti&ntilde\;as&#39\; birelative theorem\, proved in 2005\, this g
 ives a calculation of the relative K-theory of planar cuspical curves over
  a field of characteristic zero. By a p-adic version of Corti&ntilde\;as&#
 39\; theorem\, proved by Geisser and myself in 2006\, the relative K-group
 s of planar cuspical curves over a perfect field of characteristic p > 0 c
 an similarly be expressed in terms of topological cyclic homology\, but th
 e relevant topological cyclic homology groups have resisted calculation. I
 n this talk\, I will show that the new setup for topological cyclic homolo
 gy by Nikolaus and Scholze has made this calculation possible. This is joi
 nt work with Nikolaus and similar results have been obtained by Angeltveit
 .
LOCATION:Seminar Room 2\, Newton Institute
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