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SUMMARY:Hermitian K-theory of stable infinity categories - Baptiste Calmè
 s (Université d’Artois)
DTSTART:20220617T090000Z
DTEND:20220617T100000Z
UID:TALK174941@talks.cam.ac.uk
DESCRIPTION:I wil report on joint work with\nE. Dotto\, Y. Harpaz\, F. Heb
 estreit\, M. Land\, K. Moi\, D. Nardin\, T. Nikolaus and W. Steimle\nabout
  Hermitian K-theory in the context of stable infinity categories.\nI'll tr
 y to explain why this framework has many advantages in terms of flexibilit
 y and naturality\, and how it enabled us to solve open conjectures such as
  Karoubi periodicity.\nThe relevance to motives is that hermitian K-theory
  appears as endomorphisms of the point in SH via a famous theorem of Morel
 \, and that our approach removes any invertibility of 2 assumption related
  to Hermitian K-theory\, and should thus help to remove this assumption in
  various motivic results.
LOCATION:Seminar Room 1\, Newton Institute
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