Signature, Toledo invariant and eta invariant of surface group representations in Hermitian Lie groups.
星期四, 25 十一月, 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 :
4