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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240620T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-15
SUMMARY:Geometry and Topology seminar
CLASS:PUBLIC
DESCRIPTION:SCOTT WILSON &amp; JOANA CIRICI\n\nHigher-homotopical BV-structures
  on the differential forms of\nsymplectic and complex manifolds.\n\nIn 198
 5 Koszul showed that the differential forms of a symplectic\nmanifold have
  an additional second order operator\; part of what is now\ncalled a diffe
 rential BV-algebra. Subsequent work by Getzler\,\nBarannikov-Kontsevich\, 
 and Manin describe this structure as a (genus\nzero) cohomological field t
 heory on the de Rham cohomology\, i.e. an\naction of the compactified modu
 li space of (genus zero) Riemann\nsurfaces with marked points. Such struct
 ures\, also known as (formal)\nFrobenius manifolds\, or hypercommutative a
 lgebras\, have numerous\nconnections with the A-model and mirror symmetry.
 \n\nIn this talk I'll explain a natural generalization of this to (almost)
 \nsymplectic and complex manifolds using a higher-homotopical notion of\nB
 V-algebras. This relies on generalizations of the Kahler identities\nto th
 ese cases. I'll explain the setup\, establish the existence of the\nhigher
 -homotopy BV-structure\, and give some explicit examples of\nalmost symple
 ctic and complex manifolds where these higher operations\non cohomology ar
 e non-zero. Some examples suggest a relationship with\nABC-Massey products
 \, defined for complex manifolds.\n\nMC 5417
DTSTAMP:20260505T152625Z
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