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SUMMARY:THR of Poincaré ∞-categories - Julie Rasmusen (University of Wa
 rwick)
DTSTART:20240618T154500Z
DTEND:20240618T161500Z
UID:TALK217810@talks.cam.ac.uk
DESCRIPTION:In recent years\, work by Calm&eacute\;s&ndash\;Dotto&ndash\;H
 arpaz&ndash\;Hebestreit&ndash\;Land&ndash\;Moi&ndash\;Nardin&ndash\;Nikola
 us&ndash\;Steimle has moved the theory of Hermitian K-theory into the fram
 ework of stable &infin\;-categories. I will introduce the basic ideas and 
 notions of this new theory\, but as it is often the case when working with
  K-theory in any form\, this can be very hard to describe. I will therefor
 e introduce a tool which might make our life a bit easier: Real Topologica
 l Hochschild Homology. I will explain the key ingredients that goes into c
 onstructing in particular the geometric fixed points of this as a functor\
 , generalising the formula for ring spectra with anti-involution of Dotto&
 ndash\;Moi&ndash\;Patchkoria&ndash\;Reeh\, as well as providing a suitable
  version of Morita invariance in this new setting.&nbsp\;
LOCATION:External
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