Daniel Persson (Chalmers)

Abstract: In mathematics, the term “moonshine” refers to connections between finite groups, modular forms and conformal field theory/vertex algebras. I will recall the classic story of monstrous moonshine and then turn to more recent developments involving moonshine for other sporadic groups than the monster. Jacobi forms, mock modular forms and Siegel modular forms appear naturally, and this also reveals a close connection to quantum properties of black holes in string theory.