Tuesday, October 11, 2022 4:00 PM
Inkang Kim, KIAS/Stanford

People study higher Teichmuller theory and using several invariants, one tries to characterize the representations. We give a unifying formula between (Atiyah-Patodi-Singer) signature, Toledo invariant and rho invariant for the surface group (with boundary) representations into Hermitian semisimple Lie groups. This is a joint work with P. Pansu and X. Wan.