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SUMMARY:On the straightening of every functor [MPIM]
DTSTART:20250113T100000Z
DTEND:20250113T110000Z
DTSTAMP:20260420T155200Z
UID:indico-event-185@math-events.uni-bonn.de
DESCRIPTION:Speakers: Thomas Blom (MPIM)\n\nAbstract Homotopy Theory Semin
 ar\nIn this talk\, I will explain a straightening equivalence for arbitrar
 y functors between ∞-categories. Explicitly\, this result states that fo
 r a given ∞-category C\, there is a natural equivalence between the ∞-
 category of ∞-categories over C and the ∞-category of unital lax funct
 ors from C to a certain double ∞-category of correspondences. I will the
 n describe some variations on this result: I will explain how to upgrade i
 t to an equivalence of (∞\,2)-categories and how one can deduce various 
 classical straightening equivalences\, such as those of Lurie and Ayala–
 Francis\, from our result.\n \n\nhttps://math-events.uni-bonn.de/event/18
 5/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/185/
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