|Speaker:||Prof. Hiroki Shimakura (Tohoku University)|
|Title:||On holomorphic vertex operator algebras of central charge 24|
|Time:||2016-11-10 (Thu.) 15:00 - 16:00|
|Place:||Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)|
|Abstract:||In 1993, Schellekens obtained a partial classification of holomorphic
vertex operator algebras of central charge 24 by determining possible
Lie algebra structures for the weight one subspaces. There are 71
cases in his list. In addition, it seems that the Lie algebra
structure of the weight one subspace determines the holomorphic vertex
operator algebra structure uniquely.
This would be an analogue of the uniqueness of the Niemeier lattices:
a positive-definite even unimodular lattice of rank 24 is uniquely
determined by the root system consisting of norm 2 vectors.
In this talk, I explain recent progress based on joint works with C.H. Lam, and discuss remaining problems.
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