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SUMMARY:Tony Feng (MIT)
DTSTART;VALUE=DATE-TIME:20220520T190000Z
DTEND;VALUE=DATE-TIME:20220520T200000Z
DTSTAMP;VALUE=DATE-TIME:20221209T121421Z
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 Fengâ€™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/
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