GKM graphs and root systems

Speaker(s)

Magdalena Zielenkiewicz

Affiliation

Uniwersytet Warszawski

Date

Oct. 13, 2015, 2:15 p.m.

Room

room 4070

Seminar

Seminar Algebraic Topology

---

Abstrakt:
The Goresky-Kottwitz-MacPherson graph is a way of describing the T-equivariant cohomology for spaces equivariantly formal with respect to a torus action. I will talk about GKM graphs for homogeneous spaces of Lie groups and the surprising  geometrical/combinatorial properties of some of them, which I have found on examples but might be a general property for at least some class of homogenous spaces. It provideds a way of drawing the GKM graph (in particular labeling its edges) for such a homogeneous space using just the geometry of the root system, ommiting any kind of computations with the Weyl group.

---