Presentation Name🧑🏿‍💻: 创新群体报告🤭: Green function, Hyperelliptic curves and Modular forms
Presenter: Professor Lin Changshou
Date: 2014-10-20
Location: 光华东主楼2201
Abstract:
 

This talk will develope a theory to connect the mean field equation, Green function and the classic Lame equation. In this theory we have constructed a family of hyper-elliptic curves(depending on the genus n and moduli parameter $/taut /in H $: the upper half plane) and a premodular form of degree $/frac 12 n (n + 1)$. We prove that the nonlinear PDE on $E_/tau$ has a solution iff $/tau $ is a zero of this premodular form.

 

 

Annual Speech Directory✍🏼: No.145

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