Pure Math Colloquium

John Duncan, Emory University

“Recent Developments in Moonshine”

Mathematical moonshine manifests when distinguished finite groups emerge as organizing objects for distinguished modular forms: The challenge of moonshine is to illuminate these associations. Even though monstrous moonshine is now in its 40s, fundamental questions remain obscure. More recently, umbral moonshine has appeared, with distinct features, including a rich geometric aspect. We will introduce both monstrous and umbral moonshine, and describe some recent results which suggest a deep and powerful relationship between these two contrasting theories.

MC 5501

Refreshments will be served in MC 5403 at 3:30 p.m. Everyone is welcome to attend.