BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fiona Torzewska (University of Leeds) DTSTART:20221116T170000Z DTEND:20221116T180000Z DTSTAMP:20260423T024657Z UID:TQFT/70 DESCRIPTION:Title: To pological quantum field theories and homotopy cobordisms\nby Fiona Tor zewska (University of Leeds) as part of Topological Quantum Field Theory C lub (IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd floor\, Mathematics D epartment\, Instituto Superior Técnico).\n\nAbstract\nI will begin by exp laining the construction of a category $CofCos$\, whose objects are topolo gical spaces and whose morphisms are cofibrant cospans. Here the identity cospan is chosen to be of the form $X\\to X\\times [0\,1] \\rightarrow X$\ , in contrast with the usual identity in the bicategory $Cosp(V)$ of cospa ns over a category $V$. The category $CofCos$ has a subcategory $HomCob$ i n which all spaces are homotopically 1-finitely generated. There exist fun ctors into $HomCob$ from a number of categorical constructions which are p otentially of use for modelling particle trajectories in topological phase s of matter: embedded cobordism categories and motion groupoids for exampl e. Thus\, functors from $HomCob$ into $Vect$ give representations of the a forementioned categories. \n\nI will also construct a family of functors $ Z_G : HomCob \\to Vect$\, one for each finite group $G$\, showing that top ological quantum field theories previously constructed by Yetter\, and an untwisted version of Dijkgraaf-Witten\, generalise to functors from $HomCo b$. I will construct this functor in such a way that it is clear the image s are finite dimensional vector spaces\, and the functor is explicitly cal culable.\n LOCATION:https://researchseminars.org/talk/TQFT/70/ END:VEVENT END:VCALENDAR