BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Constantin Teleman (University of California\, Berkeley) DTSTART:20260304T170000Z DTEND:20260304T180000Z DTSTAMP:20260423T040811Z UID:TQFT/161 DESCRIPTION:Title: R eshetikhin–Turaev theories are fully local\nby Constantin Teleman (U niversity of California\, Berkeley) as part of Topological Quantum Field T heory Club (IST\, Lisbon)\n\n\nAbstract\nI will review two results pertain ing to 3-dimensional Reshetikhin–Turaev TQFTs\, defined from modular ten sor categories M. These theories were not constructed as “fully local” TQFTs (in the framework of Lurie’s Cobordism Hypothesis): no algebraic structures were assigned to points. (The obstruction was the Witt class of M.) Kevin Walker solved the locality problem in the setting of anomalous theories. A ‘no-go’ theorem (joint with Dan Freed) showed that\, if lo calized as linear theories\, these RT theories did not admit local topolog ical boundary conditions\, and could therefore not be generated from a poi nt by this method. (The group-like case had been addressed by Kapustin and Saulina.) In recent work with Freed and Claudia Scheimbauer\, we displaye d a fully local realization of these theories\, by objects in a target 3-c ategory which enlarges that of fusion categories. This allowed us to settl e some conjectures relating orientations and spherical structures.\n LOCATION:https://researchseminars.org/talk/TQFT/161/ END:VEVENT END:VCALENDAR