数论与表示论讨论班:Yingkun Li Algebraicity of Higher Green Functions at a CM Point

 

时间:10月18日 16:00-18:00


地点:东7一层报告厅


报告内容:

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.


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