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SUMMARY:Matt Booth (University ofd Antwerp\, Belgium)
DTSTART:20210513T110000Z
DTEND:20210513T120000Z
DTSTAMP:20260423T005752Z
UID:LAGOON/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/42/">
 Topological Hochschild cohomology for schemes</a>\nby Matt Booth (Universi
 ty ofd Antwerp\, Belgium) as part of Longitudinal Algebra and Geometry Ope
 n ONline Seminar (LAGOON)\n\n\nAbstract\nTopological Hochschild cohomology
  is a sort of refinement of usual Hochschild cohomology that incorporates 
 data from stable homotopy theory. Instead of working over a base ring\, on
 e works over the sphere spectrum\, which is a commutative ring in an appro
 priate sense. I'll give a quick introduction to spectral algebra and THH^*
 . Then I'll define the THH^* of a scheme in a `derived noncommutative' way
  - i.e. using appropriate dg categories of sheaves - and explain some inva
 riance results\, which in the non-topological setting are due to Lowen and
  Van den Bergh via Keller. I'll discuss some toy non-affine computations\,
  and time permitting I'll talk about the relationship to deformation theor
 y\, especially in positive characteristic. This is joint work with Dmitry 
 Kaledin and Wendy Lowen.\n\nhttps://us02web.zoom.us/j/87160036709  \nMeeti
 ng ID: 871 6003 6709\nPasscode: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/42/
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