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

## November 3, 2022 @ 4:00 pm - 5:00 pm

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.