BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Casey Blacker (George Mason University) DTSTART:20231122T220000Z DTEND:20231122T233000Z DTSTAMP:20260423T005722Z UID:PIMS_GAP/16 DESCRIPTION:Title: Geometric and algebraic reduction of multisymplectic manifolds\nby C asey Blacker (George Mason University) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\nLecture held in PHYSICS 128.\n\nAbstract\nA sym plectic Hamiltonian manifold consists of a Lie group action on a symplecti c manifold\, together with the additional structure of a moment map\, whic h encodes the group action in terms of the assignment of Hamiltonian vecto r fields. In special cases\, the moment map determines a smooth submanifol d to which the Lie group action restricts and the resulting quotient inher its the structure of symplectic manifold. In every case\, it is possible t o construct a reduced Poisson algebra that plays the role of the space of smooth functions on the reduced symplectic manifold.\n\nIn this talk\, we will discuss an adaptation of these ideas to the multisymplectic setting. Specifically\, we will exhibit a geometric reduction procedure for multisy mplectic manifolds in the presence of a Hamiltonian action\, an algebraic reduction procedure for the associated $L$-infinity algebras of classical observables\, and a comparison of these two construction. This is joint wo rk with Antonio Miti and Leonid Ryvkin.\n\nHybrid delivery (in person on U niversity of Saskatchewan campus and via Zoom).\n LOCATION:https://researchseminars.org/talk/PIMS_GAP/16/ END:VEVENT END:VCALENDAR