BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tony Pantev (University of Pennsylvania) DTSTART:20211108T200000Z DTEND:20211108T210000Z DTSTAMP:20260423T021410Z UID:WHCGP/42 DESCRIPTION:Title: G eometry and topology of wild character varieties\nby Tony Pantev (Univ ersity of Pennsylvania) as part of Western Hemisphere colloquium on geomet ry and physics\n\n\nAbstract\nWild character varieties parametrize monodro my\nrepresentations of flat meromorphic connections on compact Riemann\nsu rfaces. They are classical objects with remarkable geometric and\ntopologi cal properties. \n\nI will recall how intrinsic geometric structures resol ve singularities\nof wild character varieties and will show that their al gebraic\nsymplectic structures extend naturally to the resolutions. This i s\nbased on a new universal method for producing symplectic structures\nwh ich is a joint work with Arinkin and Toen. I will also describe recent jo int works with\nChuang\, Diaconescu\, Donagi\, and Nawata in which we use string dualities \nto extract cohomological invariants of twisted wild cha racter\nvarieties from BPS counts on Calabi-Yau threefolds and refined\nC hern-Simons invariants of torus knots.\n LOCATION:https://researchseminars.org/talk/WHCGP/42/ END:VEVENT END:VCALENDAR