BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jinfeng Song (The Hong Kong University of Science and Technology) DTSTART:20251126T080000Z DTEND:20251126T093000Z DTSTAMP:20260422T155205Z UID:HKUST-AG/84 DESCRIPTION:Title: Quantization of symmetric pairs\nby Jinfeng Song (The Hong Kong Univ ersity of Science and Technology) as part of Algebra and Geometry Seminar @ HKUST\n\nLecture held in Room 1104 (Lift 19).\n\nAbstract\nChevalley gro up schemes are group schemes defined over the integers that parametrize co nnected reductive groups over algebraically closed fields as geometric fib ers. Symmetric subgroups are fixed point subgroups of reductive groups und er an involutions. In this talk\, we construct closed subgroup schemes of Chevalley group schemes that parametrize symmetric subgroups of reductive groups as geometric fibers. Our construction relies crucially on the theor y of quantum symmetric pairs and thus naturally admits a quantization. As applications\, we obtain deeper insights into the structures of symmetric spaces and their embeddings\, yielding applications to their dual canonica l basis\, good filtrations\, integral models\, etc. This is based on joint works with Huanchen Bao (NUS).\n LOCATION:https://researchseminars.org/talk/HKUST-AG/84/ END:VEVENT END:VCALENDAR