Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups

Collection Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups

Organizer(s) Martin Bridgeman, Richard Canary, Fanny Kassel, Hee Oh, Maria Beatrice Pozzetti and Jean-François Quint

Date(s) 19/06/2023 - 23/06/2023

linked URL https://indico.math.cnrs.fr/event/8759/

00:00:00 / 00:00:00

11 20

Anosov Representations (3/3)

By Tengren Zhang

Anosov representations

This minicourse is an introduction to the theory of Anosov representations for non-experts. There will be three lectures in this minicourse. In the first lecture, we will discuss Anosov representations and their various characterizations. In the second lecture, we will discuss the construction of domains of discontinuity for Anosov representations, as well as their relationship with convex projective geometry. In the final lecture, we will discuss recent developments and possible research directions for Anosov representations.

Information about the video

Date of recording 21/06/2023
Date of publication 21/06/2023
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

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All the collection videos

01:00:29

published on June 19, 2023

An Introduction to Geometry and Dynamics on Semisimple Lie Groups and their Quotients by Discrete Subgroups (1/3)

By Jean-François Quint

01:00:05

published on June 19, 2023

Anosov Representations (1/3)

By Tengren Zhang

58:40

published on June 19, 2023

An Introduction to Geometry and Dynamics on Semisimple Lie Groups and their Quotients by Discrete Subgroups (2/3)

By Jean-François Quint

01:05:11

published on June 20, 2023

Divisible Convex Sets with Properly Embedded Cones

By Pierre-Louis Blayac

01:00:07

published on June 20, 2023

Equidistribution of Periodic Tori

By Nguyen-Thi Dang

01:08:49

published on June 20, 2023

An Introduction to Geometry and Dynamics on Semisimple Lie Groups and their Quotients by Discrete Subgroups (3/3)

By Jean-François Quint

01:04:50

published on June 20, 2023

Anosov Representations (2/3)

By Tengren Zhang

57:36

published on June 21, 2023

Local Mixing of Diagonal Flows on Anosov Homogeneous Spaces

By Pratyush Sarkar

59:24

published on June 21, 2023

Geometric Structures Associated to Anosov Representations

By Sara Maloni

47:23

published on June 21, 2023

The Bottom of the $L^2$ Spectrum of Higher-rank Locally Symmetric Spaces

By Sam Edwards

01:04:33

published on June 21, 2023

Anosov Representations (3/3)

By Tengren Zhang

55:48

published on June 21, 2023

Discrete Subgroups with Finite Bowen-Margulis-Sullivan Measure in Higher Rank

By Minju Lee

01:02:00

published on June 21, 2023

Dynamics Associated to Anosov Representations: Some Geometric Consequences

By Andrés Sambarino

53:03

published on June 22, 2023

Homogeneous Dynamics and u-Gibbs States

By Rafael Potrie

57:14

published on June 22, 2023

Horospherically Invariant Measures and a Rank Dichotomy for Anosov Groups

By Minju Lee

54:27

published on June 23, 2023

Orbit Counting Theorem for Cusped Hitchin Representations

By Giuseppe Martone

01:03:30

published on June 23, 2023

Transverse Groups

By Andrew Zimmer

01:01:29

published on June 23, 2023

Dynamics Associated to Anosov Representations: Some Geometric Consequences

By Andrés Sambarino

59:25

published on June 23, 2023

Thurston's Asymmetric Metrics for Anosov Representations

By Leon Carvajales

59:13

published on June 23, 2023

Ghost Polygons, Poisson Bracket and Convexity

By François Labourie

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