BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Peter Crooks (Northeastern University) DTSTART:20211103T200000Z DTEND:20211103T210000Z DTSTAMP:20260423T035540Z UID:MITLie/42 DESCRIPTION:Title: Universal symplectic quotients via Lie theory\nby Peter Crooks (Northe astern University) as part of MIT Lie groups seminar\n\nLecture held in 2- 142.\n\nAbstract\nIn its most basic form\, symplectic geometry is a mathem atically rigorous framework for classical mechanics. Noether's perspective on conserved quantities thereby gives rise to quotient constructions in s ymplectic geometry. The most classical such construction is Marsden-Weinst ein-Meyer reduction\, while more modern variants include Ginzburg-Kazhdan reduction\, Kostant-Whittaker reduction\, Mikami-Weinstein reduction\, sym plectic cutting\, and symplectic implosion.\n\nI will provide a simultaneo us generalization of the quotient constructions mentioned above. This gene ralization will be shown to have versions in the smooth\, holomorphic\, co mplex algebraic\, and derived symplectic contexts. As a corollary\, I will derive a concrete and Lie-theoretic construction of "universal" symplecti c quotients.\n\nThis represents joint work with Maxence Mayrand.\n LOCATION:https://researchseminars.org/talk/MITLie/42/ END:VEVENT END:VCALENDAR