YoVDO

Spectrum Rigidity and Joint Integrability for Anosov Systems on Tori - Lecture 3

Offered By: Simons Semester on Dynamics via YouTube

Tags

Dynamical Systems Courses Ergodic Theory Courses Lyapunov Exponents Courses Torus Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the third lecture in a minicourse on spectrum rigidity and joint integrability for Anosov systems on tori. Delve into the study of irreducible and non-conformal Anosov automorphisms A ∈ Sp(4, Z) and their symplectic diffeomorphisms. Examine the conditions under which the extremal symplectic bundle of a C^1-close symplectic diffeomorphism f is integrable, and how this relates to smooth conjugacy with A. Gain insights into the rigidity properties of Anosov diffeomorphisms on tori and the connections between geometric rigidity and dynamical spectral rigidity.

Syllabus

Yi Shi (Sichuan University), lecture 3


Taught by

Simons Semester on Dynamics

Related Courses

Classification of Combinatorial Surfaces - Algebraic Topology - NJ Wildberger
Insights into Mathematics via YouTube Two-Dimensional Objects - The Torus and Genus - Algebraic Topology
Insights into Mathematics via YouTube Symmetric and Symmetrized Topological Complexity of the Torus
Applied Algebraic Topology Network via YouTube Equidistribution of Linear Random Walks on the Torus
Hausdorff Center for Mathematics via YouTube Delta Complexes, Betti Numbers, and Torsion in Algebraic Topology
Insights into Mathematics via YouTube