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Claudio Gorodski - A metric approach to representations of compact Lie groups

August 27, 2014
4:10PM - 5:10PM
MW 154

Date Range
Add to Calendar 2014-08-27 16:10:00 2014-08-27 17:10:00 Claudio Gorodski - A metric approach to representations of compact Lie groups Title: A metric approach to representations of compact Lie groupsSpeaker: Claudio Gorodski, University of Sao PauloAbstract:  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)). MW 154 Department of Mathematics math@osu.edu America/New_York public
August 28, 2014
10:20AM - 11:20AM
MW 154

Date Range
Add to Calendar 2014-08-28 10:20:00 2014-08-28 11:20:00 Claudio Gorodski - A metric approach to representations of compact Lie groups Title: A metric approach to representations of compact Lie groupsSpeaker: Claudio Gorodski, University of Sao PauloAbstract:  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)). MW 154 Department of Mathematics math@osu.edu America/New_York public
August 28, 2014
4:10PM - 5:10PM
MW 154

Date Range
Add to Calendar 2014-08-28 16:10:00 2014-08-28 17:10:00 Claudio Gorodski - A metric approach to representations of compact Lie groups Title: A metric approach to representations of compact Lie groupsSpeaker: Claudio Gorodski, University of Sao PauloAbstract:  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)). MW 154 Department of Mathematics math@osu.edu America/New_York public
August 29, 2014
4:10PM - 5:10PM
MW 154

Date Range
Add to Calendar 2014-08-29 16:10:00 2014-08-29 17:10:00 Claudio Gorodski - A metric approach to representations of compact Lie groups Title: A metric approach to representations of compact Lie groupsSpeaker: Claudio Gorodski, University of Sao PauloAbstract:  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)). MW 154 Department of Mathematics math@osu.edu America/New_York public

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)).

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