Moduli of punctured tori and Lame equation


Yen-Wen Fan

10:40:00 - 12:20:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, we review some basic facts of Riemann surface, Teichmuller space and Fricke moduli for singly punctured torus. Then we will describe the inverse of the covering map which is actually the quotient of two independent solutions of a lame equation.

Reference: Moduli of punctured tori and the accessory parameter of Lame\'s equation by L. Keen, H. E. Rauch and A. T. Vasquez, Trans. Amer. Math. Soc.vol 255 1979.