Title: A metric approach to representations of compact Lie groups
Speaker: Claudio Gorodski, University of Sao Paulo
Abstract: Consider a (finite dimensional) orthogonal representation of a compact Lie group on an Euclidean space and the associated orbit space with its canonical metric space structure. In this series of lectures, we would like to address the following question: How much of the representation can be recovered from the quotient metric space? The prototypical example of such situation is the adjoint representation of a compact connected Lie group on its Lie algebra, whose orbit space is identified with a Coxeter orbifold. Our work generalizes some results about adjoint representations to other representations. (Based on joint work with A. Lytchak (Koln)).
