Room P3.10, Mathematics Building

Yasuyuki Kawahigashi, University of Tokyo
Moonshine, conformal field theory and operator algebras

The Moonshine conjecture is about mysterious relations between the Monster group and elliptic modular functions.  It has been solved in the context of vertex operator algebras, which give an algebraic axiomatization of chiral conformal field theory. Another axiomatization is given in terms of operator algebras.  We present our new result going from the former framework to the latter and back.  No knowledge of these topics is assumed.