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SUMMARY:Deep holes in vertex operator algebras - Nils Scheithauer (Technis
 che Universität Darmstadt)
DTSTART:20220907T150000Z
DTEND:20220907T160000Z
UID:TALK178565@talks.cam.ac.uk
DESCRIPTION:A deep hole of a lattice is a point in the ambient space which
  has maximal distance to all lattice points. Borcherds showed in 1985 that
  there is a bijection between the deep holes in the Leech lattice and the 
 Niemeier lattices with roots. Together with the classification of the deep
  holes in the Leech lattice by Conway\, Parker and Sloane this implies the
  classification of the Niemeier lattices with non-trivial root system. In 
 this talk we explain how the notion of a deep hole can be generalised to h
 olomorphic vertex operator algebras of central charge 24 and how they can 
 be used to classify these vertex operator algebras. This is joint work wit
 h Sven M&ouml\;ller.
LOCATION:Seminar Room 2\, Newton Institute
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