BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hunter Dinkins (University of North Carolina) DTSTART:20211123T190000Z DTEND:20211123T200000Z DTSTAMP:20260423T024618Z UID:AG-Davis/41 DESCRIPTION:Title: 3d mirror symmetry and vertex functions\nby Hunter Dinkins (Universi ty of North Carolina) as part of UC Davis algebraic geometry seminar\n\n\n Abstract\nThe phenomenon of 3d mirror symmetry is a type of duality for sy mplectic varieties that is intertwined with some deep objects in algebraic geometry\, representation theory\, and combinatorics. The main objects of study are certain generating functions arising from quasimap counts that solve q-difference equations described using representation theory. Quasim ap counts for a pair of 3d mirror dual varieties are expected to satisfy t he same collection of q-difference equations. There are known ways to cons truct some explicit pairs of 3d mirror dual varieties. However\, calculati ng quasimap counts and comparing the results are nontrivial tasks. I will survey some of the expectations of 3d mirror symmetry\, discuss what is pr esently known\, and provide some explicit examples.\n LOCATION:https://researchseminars.org/talk/AG-Davis/41/ END:VEVENT END:VCALENDAR