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BIMSA-YMSC Tsinghua Number Theory Seminar
Algebraicity of Higher Green Functions at a CM Point
Algebraicity of Higher Green Functions at a CM Point
Organizers
Hansheng Diao
, Yueke Hu
, Emmanuel Lecouturier
,
Cezar Lupu
Speaker
Yingkun Li
Time
Monday, October 23, 2023 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Online
Zoom 271 534 5558
(YMSC)
Abstract
By the classical theory of complex multiplication, the modular j-function takes algebraic values at CM points. It is an interesting question to ask about the algebraic nature of other types of automorphic functions at CM points. For the automorphic Green function at integral parameters, Gross and Zagier conjectured in the 1980s that their values at a CM point is essentially the logarithm of an algebraic number. In this talk, we will discuss recent progress toward this conjecture. This is partly joint with Jan Bruinier and Tonghai Yang.