Geometry/Topology Seminar
Florestan Martin-Baillon
IRMAR
Bifurcation currents for families of group representations in higher rank
Abstract: Groups acting linearly on projective spaces are examples of holomorphic dynamical systems which exhibit a variety of different behaviours.
We introduce the notion of proximal stability which measures a form of dynamical stability for the action of a holomorphic family of group representations and we will explain how this property can be detected using a bifurcation current on the parameter space of the family.
This bifurcation current measures the pluriharmonicity of the top Lyapunov exponent of the family of representations, defined using a random walk on the group.
Wednesday March 29, 2023 at 3:00 PM in 427 SEO