Seminario del 2022

Maggio
03
2022
Florestan Martin-Baillon
Bifurcation currents for families of group representations in higher rank
nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA
algebra e geometria
Finitely generated groups acting 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 measure the pluriharmonicity of the top Lyapunov exponent of the family of representation, defined using a random walk on the group.
organizzato da: Jacopo Gandini
nell'ambito del Progetto P.R.I.N. PRIN 2017 MIGLIORINI del prof. Luca Migliorini

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