BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tony Feng (MIT) DTSTART:20220520T190000Z DTEND:20220520T200000Z DTSTAMP:20260407T214458Z UID:agstanford/90 DESCRIPTION:Title: Enumerative arithmetic geometry and automorphic forms\nby Tony Fen g (MIT) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nThe problem of counting vectors with given length in a lattice turns out to ha ve much more structure than initially expected\, and is connected with the theory of so-called automorphic forms. A geometric analogue of this probl em is to count global sections of vector bundles on a curve over a finite field. The generating functions for such counts are special automorphic fo rms called theta series. In joint work with Zhiwei Yun and Wei Zhang\, we find a family of generalizations of such counting problems in the enumerat ive geometry of arithmetic moduli spaces\, which lead to generating functi ons that we call higher theta series. I will explain theorems and conjectu res around these higher theta series.\n\nThe synchronous discussion for To ny Feng’s talk is taking place not in zoom-chat\, but at https://tinyurl .com/2022-05-20-tf (and will be deleted after ~3-7 days).\n LOCATION:https://researchseminars.org/talk/agstanford/90/ END:VEVENT END:VCALENDAR