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SUMMARY:Bruno Vallette (Université Sorbonne-Paris Nord\, France)
DTSTART:20211111T120000Z
DTEND:20211111T130000Z
DTSTAMP:20260423T005752Z
UID:LAGOON/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/52/">
 Deformation theory of Cohomological Field Theories</a>\nby Bruno Vallette 
 (Université Sorbonne-Paris Nord\, France) as part of Longitudinal Algebra
  and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nIn this talk\, I
  will develop the deformation theory of Cohomological Field Theories (CohF
 Ts)\, that is algebras over the moduli spaces of stable curves with marked
  points. This will lead to two new natural extensions of the notion of a C
 ohFT: homotopical (necessary to structure chain-level Gromov--Witten invar
 iants) and quantum (with examples found in the works of Buryak--Rossi on i
 ntegrable systems). I will introduce a new version of Kontsevich's graph c
 omplex\, enriched with tautological classes\, and I will use it to study a
  new universal deformation group which acts naturally on the moduli spaces
  of quantum homotopy CohFTs.  This group is shown to contain both the prou
 nipotent Grothendieck--Teichmüller group and the Givental group. (Joint w
 ork with Vladimir Dotsenko\, Sergey Shadrin\, Arkady Vaintrob available at
  arxiv.org/abs/2006.01649.)\n\nZoom link:\nhttps://icms-org-uk.zoom.us/j/8
 1601767022?pwd=dDZwV1dEeW1STUZkOTUwTlNiVmZodz09\nMeeting ID: 816 0176 7022
 \nPasscode: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/52/
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