BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sergei Gukov (California Institute of Technology) DTSTART:20200522T160000Z DTEND:20200522T170000Z DTSTAMP:20260423T040010Z UID:TQFT/1 DESCRIPTION:Title: Hid den algebraic structures in topology\nby Sergei Gukov (California Inst itute of Technology) as part of Topological Quantum Field Theory Club (IST \, Lisbon)\n\n\nAbstract\nWhich 4-manifold invariants can detect the Gluck twist? And\, which 3-manifold invariants can detect the difference betwee n surgeries on mutant knots? What is the most powerful topological quantum field theory (TQFT)? Guided by questions like these\, we will look for ne w invariants of 3-manifolds and smooth 4-manifolds. Traditionally\, a cons truction of many such invariants and TQFTs involves a choice of certain al gebraic structure\, so that one can talk about "invariants for SU(2)" or a "TQFT defined by a given Frobenius algebra." Surprisingly\, recent develo pments lead to an opposite phenomenon\, where algebraic structures are lab eled by 3-manifolds and 4-manifolds\, so that one can speak of VOA-valued invariants of 4-manifolds or MTC-valued invariants of 3-manifolds. Explain ing these intriguing connections between topology and algebra will be the main goal of this talk.\n LOCATION:https://researchseminars.org/talk/TQFT/1/ END:VEVENT END:VCALENDAR