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SUMMARY:Richard Borcherds (UC Berkeley)
DTSTART:20240226T160000Z
DTEND:20240226T180000Z
DTSTAMP:20260423T024836Z
UID:Vinberg/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Vinberg/18/"
 >Vinberg’s Algorithm and Kac-Moody algebras</a>\nby Richard Borcherds (U
 C Berkeley) as part of The Vinberg Lecture Series\n\n\nAbstract\nVinberg
 ’s algorithm was introduced by Vinberg in order to calculate the fundame
 ntal domains of hyperbolic reflection groups\, especially those coming fro
 m Lorentzian lattices. We will show how to use it to calculate the automor
 phism groups of some lattices\, culminating in Conway’s spectacular disc
 overy that the Dynkin diagram of the 26-dimensional even unimodular Lorent
 zian lattice is the Leech lattice. We will then discuss some of the Kac-Mo
 ody algebras associated with Vinberg’s Dynkin diagrams.\n
LOCATION:https://researchseminars.org/talk/Vinberg/18/
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