BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Ben-Zvi (University of Texas - Austin) DTSTART:20210512T203000Z DTEND:20210512T213000Z DTSTAMP:20260423T052330Z UID:MITLie/31 DESCRIPTION:Title: Quantization and Duality for Spherical Varieties\nby David Ben-Zvi (Un iversity of Texas - Austin) as part of MIT Lie groups seminar\n\nLecture h eld in 2-142.\n\nAbstract\nI will present joint work with Yiannis Sakellar idis and Akshay Venkatesh\, in which we apply a perspective from topologic al field theory to the relative Langlands program. To a spherical variety one can assign two quantization problems\, automorphic and spectral\, both resulting in structures borrowed from QFT. The automorphic quantization ( or A-side) organizes objects such as periods\, Plancherel measure\, theta series and relative trace formula\, while the spectral quantization (or B- side) organizes L-functions and Langlands parameters. Our conjectures desc ribe a duality operation on spherical varieties\, which exchanges automorp hic and spectral quantizations (and may be seen as Langlands duality for b oundary conditions in 4d TFT\, a refined form of symplectic duality / 3d m irror symmetry).\n LOCATION:https://researchseminars.org/talk/MITLie/31/ END:VEVENT END:VCALENDAR