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Holomorphic vertex operator algebras of central charge 24

Presented by: 
Nils Scheithauer Technische Universität Darmstadt
Date: 
Thursday 27th May 2021 - 16:45 to 17:45
Venue: 
INI Seminar Room 1
Session Chair: 
Daniel Bump
Abstract: 
Borcherds showed that there is a 1-to-1 correspondence between the deep holes in the Leech lattice and the Niemeier lattices with non-trivial root system. This allows a geometric classification of these lattices. We show that a similar approach is possible for the holomorphic vertex operator algebras of central charge 24. This is work in progress with Sven Möller.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons