Starts 25 Jun 2020 14:00
Ends 25 Jun 2020 15:00
Central European Time
Search
Search in Conferences:
Math Associates Seminar: Singular chains on Lie groups and the Cartan relations
Zoom Meeting
Please register in advance for this meeting:
After registration, you will receive a confirmation email containing information about joining the meeting
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.
After registration, you will receive a confirmation email containing information about joining the meeting
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.