## CYMS Seminar - Richard Gottesman (Queen's University)

### Thursday, September 5th, 2019

**Time:** 2:30 p.m ** Place:** Jeffery Hall 319

**Speaker:** Richard Gottesman (Queen's University)

**Title:** Vector-Valued Modular Forms and Modular Linear Differential Equations

**Abstract:** The sequence of denominators of the Fourier coefficients of a modular form on a congruence subgroup is always bounded. It has been conjectured that the converse is also true. We will consider this problem in the context of vector-valued modular forms and explain a strategy for proving such an unbounded denominator result. A key point is the importance of understanding the solutions of the modular linear differential equation at all of the cusps).