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SUMMARY:On very effective hermitian K-theory - Oliver Roendigs (Universit
 ät Osnabrück)
DTSTART:20180815T090000Z
DTEND:20180815T100000Z
UID:TALK108745@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We argue that the very effective cover of hermitian K-theory i
 n the sense of motivic homotopy theory is a convenient algebro-geometric g
 eneralization of the connective real topological K-theory spectrum. This m
 eans the very effective cover acquires the correct Betti realization\, its
  motivic cohomology has the desired structure as a module over the motivic
  Steenrod algebra\, and that its motivic Adams and slice spectral sequence
 s are amenable to calculations. The latter applies to provide the expected
  connectivity for its unit map from the motivic sphere spectrum. This is j
 oint work with Alexey Ananyevskiy and Paul Arne Ostvaer.
LOCATION:Seminar Room 1\, Newton Institute
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