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Course:
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Polar actions on symmetric spaces
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Professor:
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Prof: Jurgen Berndt ( King's College London)
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Organized
by:
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Prof. Claudio Gorodski
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Date
and place:
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14 de abril (Aulas 1 e 2) e 16 de abril (Aulas 3 e 4), das 14 às 16h.
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Description: The aim is to provide an up-to-date introduction to this topic, present relevant methods, and discuss classifications and open
problems. We will first present the relevant algebraic theory of
semisimple Lie algebras. This will then be applied to investigate the
geometry of cohomogeneity one actions on symmetric spaces. We will then
see how to generalize these ideas to study the more general cases
of hyperpolar and polar actions.
Aula 1: Structure theory of semisimple Lie groups.
Aula 2: Cohomogeneity one actions.
Aula 3: Hyperpolar actions.
Aula 4: Polar actions.
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