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SUMMARY:The Homotopy Theory of DG-Categories
DTSTART:20201027T101500
DTEND:20201027T111500
DTSTAMP:20260427T213057Z
UID:688a3278350d64de69e6dc924d12535cd84c58f0afc23eab39cbd5de
CATEGORIES:Conferences - Seminars
DESCRIPTION:Elena Dimitriadis Bermejo\, Institut de Mathématiques de Tou
 louse\nDifferentially-graded categories are essential to Derived Algebraic
  Geometry\; but they don't behave as well as we would like them to. In 200
 5\, Bertrand Toën proved that all theories of ∞-categories are Quillen 
 equivalent to the category of complete Segal spaces\, basically meaning th
 at we can see any ∞-category as a presheaf from the simplex category to 
 the simplicial sets\, satisfying certain conditions. In this talk\, we wil
 l try and apply a similar logic to dg-categories: we will define a certain
  "linearized version of the simplex category" and sketch the proof that ev
 ery dg-category is a simplicial presheaf from that linear simplex category
  to the category of simplicial sets. We will finish with a few possible ap
 plications of the result.
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
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