Type: Seminar

Distribution: World

Expiry: 8 Oct 2016

CalTitle1: The Springer correspondence for symmetric spaces and Hessenberg varieties

Auth: kevinc@pkevinc.pc (assumed)

Ting Xue (University of Melbourne) Wednesday September 7, 12-1pm, Place: Carslaw 375 The Springer correspondence for symmetric spaces and Hessenberg varieties The Springer correspondence relates nilpotent orbits in the Lie group of a reductive algebraic group to irreducible representations of the Weyl group. We develop a Springer theory in the case of symmetric spaces using Fourier transform, which relates nilpotent orbits in this setting to irreducible representations of Hecke algebras at q=-1. We discuss applications in computing cohomology of Hessenberg varieties. Examples of such varieties include classical objects in algebraic geometry: Jacobians, Fano varieties of k-planes in the intersection of two quadrics, etc. This is joint work with Tsao-hsien Chen and Kari Vilonen.