Speaker: Chin-Lung Wang
Date: 10:30 10/05/2024
Title: A complete solution to Lam\'e equations with finite monodromy

Abstract: It is a well known result of Beukers and Walll that the classical Lam\'e equation on a torus 
w'' = (n(n + 1) P(z) + B)w has finite monodromy only if the parameter n belongs to a finite set of rational numbers mod 1. 
By combining geometry of spherical tori with combinatorics of dessins d'enfants, we give an exact counting formula for every 
such n and monodromy group M, and describe the construction of each Lam\'e equation. This is a joint work with You-Cheng Chou 
and Po-Sheng Wu. The reference is arXiv:2402.16286.