You are not logged in |
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.
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.
