Seminarium z Topologii Algebraicznej
Wtorki, 14:30-16:00, sala 4070
Magdalena Zielenkiewicz
GKM graphs and root systems
13.10.2015
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.
A related article of Julia TymoczkoStrona seminarium