Seminars & Colloquia Calendar

Download as iCal file

Topology/Geometry Seminar

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.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.