BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Svatopluk Kryls (Mathematical Institute\, Charles University) DTSTART:20260506T113000Z DTEND:20260506T123000Z DTSTAMP:20260526T035628Z UID:PHK-cohomology-seminar/155 DESCRIPTION:Title: Cohomology of symplectic spinor twisted de Rham sequence and its subcomplexes\nby Svatopluk Kryls (Mathematical Institute\, Cha rles University) as part of Prague-Hradec Kralove seminar Cohomology in al gebra\, geometry\, physics and statistics\n\nLecture held in blue lecture room + ZOOM meeting.\n\nAbstract\nSymplectic spinors were discovered by Se gal and Shale in 1962 in the realm of quantum physics and by Weil in 1964 in the realm of analysis on p-adic groups and number theory. They were inc orporated into global analysis and geometry some decades after that.\n\nWe treat a sheaf resolution of symplectic spinors and a sheaf sub-resolution induced by symplectic connections and by symplectic Ricci-type connection s\, respectively. The latter named connections (also called symplectic Wey l-flat and symplectic curvature reducible) were investigated in differenti al geometry a) as parallel notions to Weyl- and Ricci-type connections kno wn in the Riemannian case\, and also b) for the aims of geometric quantiza tion.\n\nWe introduce the resolutions and induced complexes\, using a mode st amount of representation theory. Besides giving theorems on them\, we m ention their Riemannian counterparts regarding their existence.\n LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/155/ END:VEVENT END:VCALENDAR