Monotonicity of topological entropy along the Ricci flow near hyperbolic metrics

Quand : 29 mai 2026 à 10:30

Où : IHP, 11 rue Pierre et Marie Curie, Paris 5e

Organisé par : Institut Henri Poincaré

Let (M,g) be a closed negatively curved Riemannian manifold. For surfaces, we know since Hamilton that the normalized Ricci flow (NRF) defines a flow (g_t) of negatively curved metrics of constant area which converges to the unique hyperbolic metric in the conformal class of g. Geometrically, the NRF "simplifies" the curvature of (M,g) when t \to +\infty. Dynamically, one can understand this simpl