BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marco Benini (Università di Genova) DTSTART:20210205T130000Z DTEND:20210205T150000Z DTSTAMP:20260423T022807Z UID:DQSeminar/2 DESCRIPTION:Title: Homotopical quantization of linear gauge theories\nby Marco Benini ( Università di Genova) as part of Deformation Quantization Seminar\n\n\nAb stract\nIn a gauge theory\, gauge transformations encode a useful higher s tructure that enables one to\nperform powerful constructions\, e.g. BRST/B V quantization. The efficacy of the BRST/BV approach\nrelies on the flexib ility of introducing auxiliary fields\, an operation which is formalized b y quasiisomorphisms. This flexibility comes at the price that all construc tions must be derived\, i.e. invariant\nunder quasi-isomorphisms (as oppos ed to isomorphisms). Focusing on the prototypical example of\nlinear Yang- Mills theory\, I will present a standard model for its derived critical lo cus and equip the\nassociated complex of linear observables with its canon ical shifted Poisson structure (antibracket). I\nwill show how global hype rbolicity of the background Lorentzian manifold entails that this shifted\ nPoisson structure is (homologically) trivial and observe the existence of two distinguished ways to\ntrivialize it. Combining these trivializations leads to a non-trivial unshifted Poisson structure\, which\nI will quanti ze via canonical commutation relations. This leads to an explicit example of a homotopy\nalgebraic quantum field theory\, where the time-slice axiom is encoded weakly by quasi-isomorphisms\n(as opposed to isomorphisms).\n LOCATION:https://researchseminars.org/talk/DQSeminar/2/ END:VEVENT END:VCALENDAR