Strong Positive Recurrence for Diffeomorphisms
Explore strong positive recurrence in diffeomorphisms, its implications for entropy-maximizing measures, and its equivalence to Lyapunov exponent continuity. Gain insights into smooth diffeomorphisms on compact surfaces.
When Topology Forces Dynamics - Lecture 1
Explore topological dynamics, focusing on how topology influences system behavior. Gain insights into fixed point index, Nielsen theory, and homotopy stability theorems.
Introduction to Smooth Ergodic Theory - Lecture 3
Delve into smooth ergodic theory, exploring stable/unstable foliations in hyperbolic systems and their role in understanding statistical behaviors, SRB measures, and Hopf's argument for ergodicity.
Introduction to Smooth Ergodic Theory - Lecture 1
Delve into smooth ergodic theory, exploring statistical behavior of orbits, hyperbolic systems, and stable/unstable foliations. Learn about SRB measures and their role in understanding dynamical systems.
Introduction to Smooth Ergodic Theory - Lecture 2
Delve into smooth ergodic theory, exploring stable/unstable foliations in hyperbolic systems and their role in understanding statistical behaviors, SRB measures, and Hopf's argument for ergodicity.
Hyperbolicity in Presence of a Large Local System
Explore hyperbolicity in complex algebraic varieties with Yohan Brunebarbe. Learn about Green-Griffiths and Lang conjectures, and their validity for varieties with large complex local systems.
Hyperbolicity of Algebraic Varieties via Fundamental Groups
Explore hyperbolicity of algebraic varieties through fundamental groups, examining linear representations and their implications for complex quasi-projective varieties and the Green-Griffiths-Lang conjecture.
Growth of Subgroups with Hyperbolicity - Lecture 3
Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
Hyperbolicity - Exploring Negative Curvature in Geometry
Explore negative curvature and hyperbolicity in everyday objects, from underwater environments to clothing and brain structures, challenging traditional geometry concepts.
Growth of Subgroups with Hyperbolicity - Lecture 2
Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
Growth of (Sub)Groups with Hyperbolicity - Lecture 1
Explore growth patterns in hyperbolic subgroups with expert Inhyeok Choi. Gain insights into geometric group theory and its applications in diverse mathematical fields.
Hyperbolicity from Walls - Group Actions on Hyperbolic Spaces
Explore hyperbolicity in group theory through actions on hyperbolic spaces. Learn about Sageev's construction and its applications in mathematical research.
Searching for Hyperbolicity
Explore geometric group theory and hyperbolicity in mathematics with Ruth Charney's insightful lecture, covering key concepts and their applications in various geometric spaces.
Uniqueness and Non-Uniqueness for Percolation on Groups
Explore percolation theory on groups, examining uniqueness and non-uniqueness of infinite clusters and their connections to group-theoretic concepts.