Orateur
Prof.
Tomaž Košir
(University of Ljubljana)
Description
We will review some of the work on commuting pairs of matrices that led to the Box Conjecture of Anthony Iarrobino and his collaborators. Then, we will sketch a proof of the Conjecture. The proof hinges naturally on the Burge correspondence between the set of all partitions and a set of binary words. For connection with the algebraic and geometric setup of matrices and nilpotent orbits we use Shayman’s results on invariant subspaces of a nilpotent matrix.
This is joint work with John Irving and Mitja Mastnak.
