BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Joel Kamnitzer (University of Toronto) DTSTART:20201028T203000Z DTEND:20201028T213000Z DTSTAMP:20260423T035533Z UID:MITLie/14 DESCRIPTION:Title: Categorical g-actions for modules over truncated shifted Yangians\nby Joel Kamnitzer (University of Toronto) as part of MIT Lie groups seminar\n \nLecture held in 2-142.\n\nAbstract\nGiven a representation V of a reduct ive group G\, Braverman-Finkelberg-Nakajima defined a Poisson variety call ed the Coulomb branch\, using a convolution algebra construction. This var iety comes with a natural deformation quantization\, called a Coulomb bran ch algebra. Important cases of these Coulomb branches are (generalized) af fine Grassmannian slices\, and their quantizations are truncated shifted Y angians.\n\nMotivated by the geometric Satake correspondence and the theor y of symplectic duality/3d mirror symmetry\, we expect a categorical g-act ion on modules for these truncated shifted Yangians. I will explain three results in this direction. First\, we have an indirect realization of this action\, using equivalences with KLRW-modules. Second\, we have a geometr ic relation between these generalized slices by Hamiltonian reduction. Fin ally\, we have an algebraic version of this Hamiltonian reduction which we are able to relate to the first realization.\n\nThis seminar will take pl ace entirely online. Please email Andre Dixon (aldixon@mit.edu) for the Zo om meeting Link.\n LOCATION:https://researchseminars.org/talk/MITLie/14/ END:VEVENT END:VCALENDAR