Algebra Seminar: Saunders -- Exotic Springer Correspondence

Neil Saunders (Ecole Polytechinque Federal de Lausanne) 

Friday 12 August, 12-1pm, Place: Carslaw 375 

On the Exotic Springer Correspondence 

We consider the Exotic Nilpotent Cone of Kato, which provides a Springer Correspondence
between nilpotent orbits of the symplectic group on this nullcone and irreducible
representations of the Weyl Group of Type C.  By studying the Springer resolution of the
Exotic Nilpotent Cone, we are able to demonstrate a bijection between Irreducible
Components of the fibres of this resolution and Standard Bitableaux.  I will report on
recent work with Nandakumar and Rosso where we are using this bijection to explicit
determine an "Exotic Robinson-Schensted Correspondence".