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Chin-Lung Wang 
2010-03-22 
09:00 - 10:00 
308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk I will report on joint works with C.-S. Lin on the structure of solutions of Liouville equations on tori with isolated delta singularity. Type I solutions are characterized by the Green functions which depends on the conformal structure heavily. Type II solutions are completely algebraically integrable in the sense that the problem is transformed into a polynomial system in affine space. If time allowed, I will also report on recent progress by K.-L. Lin on the corresponding counting problem of type Ii solutions.