Dr. Inkang Kim, KIAS, Stanford – Signature, Toledo invariant, and the surface group representations in Hermitian semisimple Lie groups

Mode: In-Person

Title: Signature, Toledo invariant, and the surface group representations in Hermitian semisimple Lie groups

Abstract: 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 that we invented for the surface group (with boundary) representations into Hermitian semisimple Lie groups.  This is a joint work with P. Pansu and X. Wan.