Talks

Critical Points of Green Functions on Flat Tori

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Chin-Lung Wang

2011-01-14
10:00:00 - 10:55:00

R102 , Astronomy and Mathematics Building

The distribution of the number of critical points of the Green function on tori leads to interesting geometry on the moduli space. In this talk I will discuss some of my recent joint works with C.-S. Lin on this problem. Our study provides frameworks which relate closely certain non-linear PDE (mean field equations), ODE (Lame equations), algebraic geometry, and modular functions.

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