University of Sydney Algebra Seminar

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".