100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Inkang Kim

Signature, Toledo invariant and eta invariant of surface group representations in Hermitian Lie groups.
Jeudi, 25 Novembre, 2021 - 14:00
Résumé : 

We relate the signature of flat bundles associated with the surface group representations into Hermitian Lie groups

with Toledo invariant and eta invariant using Atiyah-Patodi-Singer index theorem together with bounded cohomology theory and 

other techniques. We also give Milnor-Wood type inequality for the signature and Toledo invariant.

This is a joint work with P. Pansu and X. Wan.

Institution de l'orateur : 
KIAS Seoul
Thème de recherche : 
Théorie spectrale et géométrie
Salle : 
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