GKM graphs and root systems

Prelegent(ci)

Magdalena Zielenkiewicz

Afiliacja

Uniwersytet Warszawski

Termin

13 października 2015 14:15

Pokój

p. 4070

Seminarium

Seminarium „Topologia algebraiczna”

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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.

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