BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hunter Dinkins (Northeastern) DTSTART:20220922T185000Z DTEND:20220922T195000Z DTSTAMP:20260423T023016Z UID:GPRTatNU/60 DESCRIPTION:Title: Curve counts\, representation theory\, and 3d mirror symmetry\nby Hu nter Dinkins (Northeastern) as part of Geometry\, Physics\, and Representa tion Theory Seminar\n\n\nAbstract\nThe last two decades have seen great su ccess in studying representation theoretic objects through geometric techn iques. One small part of this story involves Nakajima quiver varieties\, c urve counting\, and a mysterious string-theoretic duality. More specifical ly\, curve counting in Nakajima varieties turns out to be governed by cert ain q-difference equations that\, after a nontrivial amount of work\, can be seen to coincide with the some well-known equations from representation theory. Moreover\, these curve counts are expected to possess deep nontri vial symmetries that have only been understood in very specific examples. I will provide an overview of the main concepts and results related to the se ideas\, discuss my own contributions\, and mention some future directio ns.\n LOCATION:https://researchseminars.org/talk/GPRTatNU/60/ END:VEVENT END:VCALENDAR