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SUMMARY:The ribbon quiver complex and operations on Hochschild invariants
DTSTART:20211209T141500
DTEND:20211209T160000
DTSTAMP:20260528T093004Z
UID:2901b897dd2b835fb3b69b3e1229a1c34d9a960ed868b7bb3ac47abd
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alex Takeda (IHES)\nThe structure of a fully extended oriented
  2d TQFT is given by a Frobenius algebra. If one wants to lift this struct
 ure to a cohomological field theory\, the correct notion is of a Calabi-Ya
 u algebra or category\; the CohFT operations are then described by a certa
 in graph complex. There are many different notions of categorical Calabi-Y
 au structure\, all requiring some type of finiteness or dualizability. In 
 this talk I will discuss a variation that works in non-dualizable cases as
  well\; in this case the graphs get replaced by quivers.\n\nThe resulting 
 complex admits an algorithmic description of orientations\, and calculates
  the homology of certain moduli spaces of open-closed surfaces. This can b
 e used to give a fully explicit description of these operations. In the se
 cond half of the talk I will describe some of these constructions\, includ
 ing relative versions of Calabi-Yau structures\, and some appearances of t
 hese structures in Fukaya theory and string topology. This is joint work w
 ith M. Kontsevich and Y. Vlassopoulos. 
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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