## Integral forms in tensor powers of Virasoro vertex operator algebras

**Speaker(s): ** Robert McRae

**Time: ** 00:00-00:00 November 6, 2014

**Venue: ** Room 78201 at #78 courtyard, Beijing International Center for Mathematical Research

Speaker: Robert McRae

Time: Thursday, November 6, 2014 from 13:45 to 14:45

Place: Room 78201

Abstract: Many vertex operator algebras, such as the Moonshine module for the Monster finite simple group, contain tensor powers of the central charge 1/2 Virasoro vertex operator algebra as subalgebras. Motivated by the problem of constructing integral forms in these vertex operator algebras, I will discuss how to obtain integral forms in tensor powers of the central charge 1/2 Virasoro vertex operator algebra and their modules. The role of binary linear codes in the construction suggests that these integral forms could have interesting automorphism groups.