BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David D Ben-Zvi (University of Texas) DTSTART:20220120T190000Z DTEND:20220120T210000Z DTSTAMP:20260423T005848Z UID:AGNTISTA/49 DESCRIPTION:Title: Quantization and Duality for Hyperspherical Varieties\nby David D Be n-Zvi (University of Texas) as part of Algebraic Geometry and Number Theor y seminar - ISTA\n\n\nAbstract\nI will present joint work with Yiannis Sak ellaridis and Akshay Venkatesh\, in which we apply a perspective from topo logical field theory to the relative Langlands program. The main geometric objects are hyperspherical varieties for a reductive group\, a nonabelian counterpart of hypertoric varieties which include the cotangent bundles o f spherical varieties. To a hyperspherical variety one can assign two quan tization problems\, automorphic and spectral\, both resulting in structure s borrowed from QFT. The automorphic quantization (or A-side) organizes ob jects such as periods\, Plancherel measure\, theta series and relative tra ce formula\, while the spectral quantization (or B-side) organizes L-funct ions and Langlands parameters. Our conjectures organize the relative Langl ands program as a duality operation on hyperspherical varieties\, which ex changes automorphic and spectral quantizations (and may be seen as Langlan ds duality for boundary conditions in 4d TFT\, a refined form of symplecti c duality / 3d mirror symmetry).\n LOCATION:https://researchseminars.org/talk/AGNTISTA/49/ END:VEVENT END:VCALENDAR