Colloquium


DATE2021-11-18 16:10-17:00

PLACE化學館36104教室

SPEAKER林正洪研究員(中央研究院數學研究所

TITLELeech Lattice and Holomorphic Vertex Operator Algebras of Central Charge 24

ABSTRACT In this talk, I will first review the classification of positive definite even unimodular lattices of rank 24. It turns out that there is a 1 to 1 correspondence between the isometry types of positive definite even unimodular lattices of rank 24 and the deep holes of the Leech lattice. Then I will try to explain how one can generalize the similar ideas to classify holomorphic vertex operator algebras of central charge 24. The Leech lattice also plays a very important role in the classification.