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SUMMARY:Fu-Tsun Wei (National Tsing Hua University)
DTSTART:20200605T010000Z
DTEND:20200605T013000Z
DTSTAMP:20260419T130426Z
UID:NTOC2020/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTOC2020/11/
 ">On class number relations and intersections over function fields</a>\nby
  Fu-Tsun Wei (National Tsing Hua University) as part of Number Theory Onli
 ne Conference 2020\n\n\nAbstract\nIn this talk\, we shall discuss a functi
 on field analogue of the Hirzebrush-Zagier class number formula. More prec
 isely\, we establish a connection between class numbers of "imaginary" qua
 dratic function fields and the corresponding intersections of "Heegner-typ
 e" divisors on the Drinfeld-Stuhler modular surfaces. The main bridge is t
 he theta series associated to anisotropic quadratic spaces of dimension 4.
  The connection directly comes from two different expressions of the Fouri
 er coefficients of the theta series\, which can be viewed as a geometric S
 iegel-Weil formula in this particular case. This is a joint work with Jia-
 Wei Guo.\n
LOCATION:https://researchseminars.org/talk/NTOC2020/11/
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