Mathematics

Title: The j-function and the Monster.

Abstract: The j-function is a much-beloved and revered complex-valued modular function, connecting such varied disciplines as algebra, complex analysis, and geometry. j has many notable properties; for example, any modular function can be expressed as a rational function of j. This is all well and good, but is it possible that this function harbors... a darker side? Are allegations of j associating with a Monster (group) true? Find out in a scintillating exposé that will leave you shocked, amazed, and scandalized!

This talk will introduce the j-function, touch on and prove a few of its notable properties, then introduce Conway and Norton's Monstrous Moonshine conjecture, and its connection to j.