Pramod Achar (Louisiana State University)

Friday 23rd February, 12.05-12.55pm, Carslaw 373

The geometry of special pieces

Let G be a reductive algebraic group over an algebraically closed field. The geometry of the unipotent variety in G plays a central role in its representation theory, and in this talk, I'll discuss a small corner of this vast topic: a set of conjectures by Lusztig on what certain subvarieties of the unipotent variety, called "special pieces", should look like. I'll also try to say something about potential applications in the dreamy, ethereal world of "spetses". This is joint work with D. Sage.