Seminars & Colloquia Calendar
Toledo invariant and surface group representations in SP(2n,R)
Inkang Kim (KIAS)
Location: zoom link: https://rutgers.zoom.us/j/96007672653?pwd=UkhZV0l0WWNVenFqY1FYdjVydkVyQT09
Date & time: Tuesday, 09 March 2021 at 3:50PM - 4:50PM
Recently a great deal of attention has been given to the space of surface group representations utilizing various geometric structures, and invariants. In this talk, we present a new approach to this problem, using Atiyah-Patodi-Singer index theory for the surface with boundary. We will calculate the signature formula in this context, and relate it to the Toledo invariant when the target group is a real symplectic group Sp(2n,R). We also present a version of Milnor-Wood type inequality in this context. This is a joint work with Pierre Pansu and Xueyuan Wan.