NAAPing Class Group

NAAPing Class Group

Seminar Announcement

Date and Time : 11th August 2021, 21:00 JST

Speaker : Lea Beneish (McGill & Berkeley)

Title : Three perspectives on $M_{24}$ moonshine in weight 2

Abstract :

In this talk, I will describe three ways of repackaging the mock modular forms of $M_{24}$ moonshine into forms of weight two. In the first case, I will describe quasimodular forms as trace functions whose integralities are seen to be equivalent to divisibility conditions on the number of $\mathbb{F}_p$ points on the Jacobians of modular curves. In the second case, for certain subgroups of $M_{24}$, I will describe vertex operator algebraic module constructions whose associated trace functions are meromorphic Jacobi forms, thus giving explicit realizations of the divisibility conditions. In the third case, I will describe an association of weakly holomorphic modular forms to elements of $M_{24}$ with connections to the Monster group.

Location :


Announcement on Research Seminars

Ancilliary Material :