Configuration spaces of commuting elements

Abstract: The rational cohomology of the configuration space of commuting elements in a compact Lie group is determined by the action of the Weyl group on the configuration space of its maximal torus. This can be used to determine (co)homological stability phenomena and other unstable computations. In this talk I will begin with some motivation for the study of these spaces and the case of SU(2), where the homotopy type can be completely determined. Then I will describe the stability results mentioned previously and other interesting cohomology computations. This is joint work with Ángel R. Jiménez.

algebraic topologycategory theory

Audience: researchers in the topic

Bilkent Topology Seminar

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Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos