YoVDO

Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Ergodic Theory Courses Dynamical Systems Courses Functional Analysis Courses Measure Theory Courses Operator Theory Courses Birkhoff's Theorem Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the generalization of Birkhoff's famous theorem in a one-hour lecture on the non-commutative pointwise ergodic theorem for actions of amenable groups. Delve into the extension of ergodic averages from measure-preserving transformations to actions of amenable groups, and from measure spaces to von Neumann algebras with traces. Examine the crucial role of non-commutative maximal functions in extending the concept of supremum to families of operators. Learn about the joint work of Léonard Cadilhac from Sorbonne Université and Simeng Wang, as they present their findings on this advanced topic in ergodic theory and operator algebras at the Institut des Hautes Etudes Scientifiques (IHES).

Syllabus

Léonard Cadilhac - Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Related Courses

An Introduction to Functional Analysis
École Centrale Paris via Coursera
The Finite Element Method for Problems in Physics
University of Michigan via Coursera
Introduction to the Theory of Distributions and Applications
University of Pavia via iversity
Методы и инструменты системного проектирования
Moscow Institute of Physics and Technology via Coursera
Product Design Using Value Engineering
Indian Institute of Technology Roorkee via Swayam