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SUMMARY:Shadows and THH of ∞-Categories
DTSTART:20200915T101500
DTEND:20200915T111500
DTSTAMP:20260528T093156Z
UID:999d2ae9625da0b5ff1c625baae906acbd4a0aebe1aa46f57bfce5b6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nima Rasekh\, École Polytechnique Fédérale de Lausanne\nTop
 ological Hochschild Homology (THH) was originally conceived as a generaliz
 ation of Hochschild homology to ring spectra. However\, it has since been 
 generalized to many other settings. Here are just some of the many example
 s:\n> A generalization of THH to enriched categories and their profunctors
  that has been used\, particularly by Ponto\, in the study of fixed point 
 theorems.\n> An ∞-categorical approach to THH of ring spectra\, which fo
 r example has been used successfully by Scholze and Nikolaus in their stud
 y of cyclotomic actions.\n> Finally\, there is now a notion of THH of enri
 ched ∞-categories\, due to Berman.\n\nIn this talk we want to discuss on
 going work\, joint with Kathryn Hess\, with the goal of reconciling the va
 rious notions of THH using an ∞-categorical approach. In particular\, af
 ter giving some motivation\, we will focus on comparing the axiomatic appr
 oach to THH introduced by Ponto\, shadow functors\, with the enriched ∞-
 categorical approach to THH due to Berman. \n\nIf time permits\, we will 
 illustrate how the ∞-categorical approach can help us recover classical 
 results\, such as Morita invariance of THH\, using far more formal techniq
 ues.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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