# Modular functions and the monstrous exponents

# Modular functions and the monstrous exponents

Start:

Tuesday, December 3, 2024 11:00 am

Location:

WNGR 201

Holly Swisher

Oregon State University

In 1973 Ogg initiated the study of monstrous moonshine with the observation that the prime divisors of the monster group are exactly those for which the Fricke quotient X_0(p)+p of the modular curve X_0(p) has genus zero. Here, motivated by Deligne's theorem on the p-adic rigidity of the elliptic modular j-invariant, we present a modular function-based approach to explaining some of the exponents that appear in the prime decomposition of the order of the monster.

This is joint work with John Duncan.

Contact:

Holly Swisher