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NCTS Seminar on Number Theory
 
10:30 - 11:30, October 22, 2021 (Friday)
R509, Cosmology Building, NTU
(臺灣大學宇宙學大樓 509室)
Vector-valued Modular Forms and Modular Differential Equations
Yi-Fan Yang (National Taiwan University)

Abstract:

To a given vector-valued modular form of dimension 2, we may naturally associate a second-order linear ordinary differential equation with modular forms as coefficients (called a modular differential equation). In this talk, we discuss the converse problem and (partially) classify vector-valued modular forms formed by solutions of modular differential equations in the case the group is a triangle group commensurable with SL(2,Z). This is a joint work with Professor Chang-Shou Lin.

 

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