BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Victor Lekeu (Imperial College London) DTSTART:20200710T123000Z DTEND:20200710T133000Z DTSTAMP:20260423T035639Z UID:EGSS/10 DESCRIPTION:Title: Ho motopy transfer and L-infinity algebras\nby Victor Lekeu (Imperial Col lege London) as part of Exceptional geometry seminar series\n\n\nAbstract\ nL-infinity algebras are a generalization of Lie algebras involving\,besid es a 2-bracket\, a potentially infinite number of higher-order brackets wh ich satisfy generalized Jacobi identities. In particular\, the usual Jacob i identity for the 2-bracket is violated by terms involving a 3-bracket. O riginally discovered in physics in the context of closed string field theo ry\, it has since been understood that an L-infinity algebra can in fact b e associated to any classical field theory\; the Jacobi identities then en code gauge-invariance of the equations of motion\, Noether identities and all that\, in a way similar to the BRST-BV field-antifield formalism. \n In this talk\, I will first review the definition of L-infinity algebras \, in two complementary ways: 1) the original formulation involving an inf inite number of brackets\, which can be neatly packaged in a nilpotent cod erivation\, and 2) the dual picture\, where L-infinity relations are encod ed in a nilpotent derivation. (For field theories\, this derivation is not hing but the BRST-BV differential.) Then\, I will explain the mathematical notion of homotopy transfer: how\, under certain conditions\, the L-infin ity structure can descend to a subspace of the original vector space. In t he field theory context\, this corresponds to the notion of (tree-level) i ntegrating out of degrees of freedom\, with the smaller L-infinity algebra encoding the algebraic structure of the effective theory. \n This is b ased on work in progress with Alex S. Arvanitakis\, Chris Hull and Olaf Ho hm.\n LOCATION:https://researchseminars.org/talk/EGSS/10/ END:VEVENT END:VCALENDAR