Department of Mathematics

Wednesday, 26 April 2006 at 1:10PM

BA6183, 40 St. George Street

SYMPLECTIC GEOMETRY SEMINAR -- Quiver varieties and representations of affine gl(n).

Anthony Licata

Yale University

The quiver varieties of Nakajima provide a rich setting for geometric constructions of Lie algebra representations. We will discuss the role of various quiver varieties in the construction of vertex representations of affine type A, focusing in particular on geometric constructions of the Fock Space. We will discuss the relationship between these constructions and Nakajima's original constructions, and also geometric possibilities suggested by the corresponding representation theory.