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Singular chains on Lie groups and the Cartan relations
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Math Associates Seminar: Singular chains on Lie groups and the Cartan relations
Speaker: Camilo Arias Abad (Universidad Nacional de Colombia en Medellin)
Abstract: Let G be a simply connected lie group. We denote by C(G) the differential graded Hopf algebra of smooth singular chains on G. We will explain how the category of representations of C(G) can be described infinitesimally in terms of representations of the differential graded Lie algebra Tg, which is universal for the Cartan relations. We will also explain how this correspondence is related to Chern-Weil theory and higher local systems on the classifying space BG.
This talk is based on joint work with Alexander Quintero Vélez.
Speaker: Camilo Arias Abad (Universidad Nacional de Colombia en Medellin)
Abstract: Let G be a simply connected lie group. We denote by C(G) the differential graded Hopf algebra of smooth singular chains on G. We will explain how the category of representations of C(G) can be described infinitesimally in terms of representations of the differential graded Lie algebra Tg, which is universal for the Cartan relations. We will also explain how this correspondence is related to Chern-Weil theory and higher local systems on the classifying space BG.
This talk is based on joint work with Alexander Quintero Vélez.
Singular chains on Lie groups and the Cartan relations
Camilo Arias Abad (UNAL) - Singular chains on Lie groups, the Cartan relations and Chern-Weil theory
Camilo Arias Abad - Singular chains on Lie groups and the Cartan relations
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