Alessia Mandini (PUC-Rio) Laura Schaposnik (UIC)
Misha Verbitsky (IMPA), Anton Zorich (Jussieu)
Suely Lima (IMPA) - Organizing Support
During the last decade we have seen major advances in the field of Teichmuller dynamics, leading to important applications in algebraic geometry. Theory of quasi-Fuchsian groups and its generalization, the Higher Teichmuller theory, which appeared only recently, could benefit from the same approach. We are planning to look at the interplay between the theory of Higgs bundles, hyperbolic dynamics and the geometric group theory in the context of Teichmuller theory.