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SUMMARY:Nima Rasekh (EPFL)
DTSTART:20211122T103000Z
DTEND:20211122T113000Z
DTSTAMP:20260422T135607Z
UID:BilTop/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/36/">
 THH and Shadows of Bicategories</a>\nby Nima Rasekh (EPFL) as part of Bilk
 ent Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract\nTopological H
 ochschild homology (THH)\, first defined for ring spectra and then later d
 g-categories and spectrally enriched categories\, is an important invarian
 t with connections to algebraic K-theory and fixed point methods. The exis
 tence of THH in such diverse contexts motivated Ponto to introduce a notio
 n that can encompass the various perspectives: a shadow of bicategories. O
 n the other side\, many versions of THH have been generalized to the homot
 opy coherent setting providing us with motivation to develop an analogous 
 homotopy coherent notion of shadows.\n\nThe goal of this talk is to use an
  appropriate bicategorical notion of THH to prove that a shadow on a bicat
 egory is equivalent to a functor out of THH of that bicategory. We then us
 e this result to give an alternative conceptual understanding of shadows a
 s well as an appropriate definition of a homotopy coherent shadow.\n\nThis
  is joint work with Kathryn Hess.\n
LOCATION:https://researchseminars.org/talk/BilTop/36/
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