seminar announcement

[Boris Dubrovin]

Joint SISSA/ICTP Math. Phys. and Geometry seminar

Prof. V.Sokolov (Landau Institute for Theor. Phys., Moscow)

Compatible associative algebras and affine Dynkin diagrams

October 24, 14:30 - 15:30, Room A of SISSA Main Building

Abstract

We investigate linear deformations of the standard matrix product. It  
turns out that they are in one-to-one correspondence with  
representations of some algebraic structures. We construct an  
interesting class of such structures related to affine Dynkin  
diagrams of ADE-type. The corresponding deformations give rise to new  
integrable GL(n) top like sistems of ODEs.