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SUMMARY:Pavel Mnev (University of Notre Dame)
DTSTART:20220427T160000Z
DTEND:20220427T170000Z
DTSTAMP:20260423T040812Z
UID:TQFT/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/58/">On
  the Fukaya-Morse A-infinity category</a>\nby Pavel Mnev (University of No
 tre Dame) as part of Topological Quantum Field Theory Club (IST\, Lisbon)\
 n\nLecture held in Room 3.10 (3rd floor\, Mathematics Department\, Institu
 to Superior Técnico).\n\nAbstract\nI will sketch the construction of the 
 Fukaya-Morse category of a Riemannian manifold X -- an A-infinity category
  (a category where associativity of composition holds only "up-to-homotopy
 ") where the higher composition maps are given in terms of numbers of embe
 dded trees in X\, with edges following the gradient trajectories of certai
 n Morse functions. I will give simple examples and explain different appro
 aches to understanding the structure and proving the quadratic relations o
 n the structure maps -- (1a) via homotopy transfer\, (1b) effective field 
 theory approach\, (2) topological quantum mechanics approach. The talk is 
 based on a joint work with O. Chekeres\, A. Losev and D. Youmans\, arXiv:2
 112.12756.\n
LOCATION:https://researchseminars.org/talk/TQFT/58/
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