BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pavel Mnev (University of Notre Dame) DTSTART:20230920T170000Z DTEND:20230920T180000Z DTSTAMP:20260423T024651Z UID:TQFT/95 DESCRIPTION:Title: Wh y BF theory is not an Atiyah’s TQFT\, and how the BV-BFV approach helps< /a>\nby Pavel Mnev (University of Notre Dame) as part of Topological Quant um Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nBF theory does not quit e fit into (strict) Atiyah’s axioms. The space of states it assigns to a boundary is typically infinite-dimensional (which implies that the partit ion function of $S^1 \\times X$ is infinite). This can be seen (a) as a co nsequence of noncompactness of the phase space of the theory or (b) as a m anifestation of the problem of zero-modes. The BV-BFV formalism is an appr oach to gauge theories (in particular\, topological ones) combining the At iyah-Segal functorial picture with the idea of Wilson’s effective action . In this talk I will sketch the construction of BF theory in the BV-BFV l anguage and will explain how it assigns meaningful partition functions (sa tisfying an appropriate gluing property) to all cobordisms.\n LOCATION:https://researchseminars.org/talk/TQFT/95/ END:VEVENT END:VCALENDAR