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#Geodesic Flows

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University of Chicago Department of Mathematics

Anosov Flows on 3-Manifolds

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Dive into Anosov flows on 3-manifolds, exploring their chaotic yet stable nature, classification challenges, and recent advancements in low-dimensional geometric topology.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Volume Entropy for Flat Surfaces

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Explore volume entropy in flat surfaces, its relation to negative curvature surfaces, and its minimum value on SL(2,R)-orbits in specific cases.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Entropy and Gibbs Measures for Hyperbolic Systems - Lecture 1

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Explore hyperbolic systems, entropy, and Gibbs measures. Delve into classical examples, SRB measures, mixing speeds, and geodesic flows. Examine random walks in hyperbolic space and related concepts.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On the Dani Correspondence and Its Applications - Lecture 2

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Delve into Diophantine approximation through ergodic theory, exploring the Dani correspondence and its dynamic interpretation of rational number density in the real line.
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9 Lesons
1 hour 1 minute
On-Demand
Free-Video
ICTP Mathematics

Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021

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Explore geodesic flows on non-positively curved surfaces through Young towers, covering history, results, Jacobi fields, and hyperbolic maps with expert Carlos Matheus.
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11 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1

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Explore hyperbolic geometry, modular groups, and Diophantine approximation in this advanced lecture. Delve into fundamental concepts, geodesic flows, and subgroups of SL(2,R), with proofs and examples.
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20 Lesons
1 hour 14 minutes
On-Demand
Free-Video
ICTP Mathematics

Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021

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Explore Young towers for geodesic flows on non-positively curved surfaces with Yakov Pesin. Gain insights into Sinai-Ruelle-Bowen measures and their applications in surface diffeomorphisms.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
ICTP Mathematics

Unique Equilibrium States for Geodesic Flows in Nonpositive Curvature - Keith Burns

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Explore geodesic flows in nonpositive curvature and their unique equilibrium states with mathematician Keith Burns in this advanced mathematics lecture.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Geodesic Flows on Surfaces With Non Positive Curvature That Are Bernoulli - Yuri Lima

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Explore geodesic flows on surfaces with non-positive curvature and their Bernoulli properties in this advanced mathematics lecture by Yuri Lima.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4

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Explore geodesic flow dynamics on surfaces without conjugate points, focusing on uniqueness and ergodicity of maximal entropy measure and mixing properties of the flow.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2

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Explore geodesic flow dynamics, maximal entropy measures, and Patterson-Sullivan measures on ideal boundaries in surfaces without conjugate points.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Quantitative Recurrence for Z-Extension of Three-Dimensional Axiom A Flows

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Explore quantitative recurrence in Z-extension of Axiom A flows, focusing on first return time behavior and applications to geodesic flows on Z-cover of compact surfaces.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Hypoelliptic Laplacian and the Trace Formula

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Explore geometric formulas for semisimple orbital integrals, connecting heat equation methods to Selberg's trace formula through Laplacian deformations and Fokker-Planck operators.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institute for Mathematical Sciences

The Hypoelliptic Laplacian in Real and Complex Geometry

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Explores the hypoelliptic Laplacian's construction and applications in real and complex geometry, focusing on de Rham and Dolbeault theories and its role as a geometric Fokker-Planck operator.
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1 Lesons
56 minutes
On-Demand
Free-Video
NCCR SwissMAP

Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Surfaces with Caps

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Explore analytic techniques in dynamics and geometry, focusing on uniqueness of maximal entropy measures for geodesic flows on capped surfaces.
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1 Lesons
58 minutes
On-Demand
Free-Video
Conference GSI

Geodesic Flows of Alpha Connections for Statistical Transformation Models on Compact Lie Groups

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Explore geodesic flows of α connections in statistical transformation models on compact Lie groups, advancing understanding of geometric structures in statistics.
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1 Lesons
22 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Topology of Horocyclic Flow on Geometrically Infinite Surfaces - Part 2

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Explore advanced concepts in horocyclic flow topology on geometrically infinite surfaces, building upon previous knowledge and delving into complex mathematical theories.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Thurston's Asymmetric Metrics for Anosov Representations

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Explore Thurston's asymmetric metric and its generalization to Anosov representations, applying thermodynamical formalism to construct pressure metrics on representation spaces.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Transverse Groups: Metric and Flow Space Analysis

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Explore transverse groups, their metric and flow spaces, and new results in this advanced mathematical talk on discrete group theory and hyperbolic geometry.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Equidistribution of Periodic Tori

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Explore equidistribution of periodic tori in higher rank Lie groups, extending Bowen and Margulis' work on closed geodesics in hyperbolic surfaces.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Ruelle Zeta at Zero for Nearly Hyperbolic 3-Manifolds

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Explorez la fonction zêta de Ruelle pour les variétés presque hyperboliques en 3D, en examinant ses propriétés spectrales et géométriques.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Vortex Sheets and Groupoids in Ideal Hydrodynamics

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Explore Arnold's group-theoretic approach to ideal hydrodynamics and its applications to vortex sheets, fluids with moving boundaries, and multiphase fluids using Lie groupoid symmetries.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
NCCR SwissMAP

A Tale of Two Polytopes Related to Geodesic Flows on Spheres

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Explore finite dimensional integrability in mathematical physics through geodesic flows on spheres, focusing on two related polytopes.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Hamiltonian Geometry of Fluids

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Explore Hamiltonian geometry of fluids, covering Arnold's group-theoretic approach, compressible fluids, optimal mass transport, and Newton's equations on diffeomorphism groups and probability densities.
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1 Lesons
55 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Geodesic Framework for Vortex Sheets and Generalized Fluid Flows

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Explore geodesic frameworks for vortex sheets and generalized fluid flows, examining group-theoretic approaches to ideal hydrodynamics and Lie groupoid symmetries in mathematical physics.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geodesic Flow on Surfaces Without Conjugate Points - Part 2

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Explore geodesic flow on surfaces without conjugate points in this advanced mathematical lecture, delving into complex dynamics and geometric concepts.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geodesic Flow on Surfaces Without Conjugate Points - Part 3

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Explore geodesic flow on surfaces without conjugate points in this advanced mathematical lecture, focusing on dynamics and geometric analysis.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geodesic Flow on Surfaces Without Conjugate Points - Part 1

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Explore geodesic flow on surfaces without conjugate points in this advanced mathematics lecture. Delve into complex geometric concepts and their applications in surface dynamics.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Flexibility Ideas for Geodesic Flow

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Explore innovative concepts in geodesic flow flexibility, uncovering dynamic approaches and mathematical insights for advanced understanding.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Advanced Study

Train Track Automata for Outer Automorphisms of Free Groups and Geodesics in Outer Space

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Delve into advanced group theory concepts exploring train track automata, outer automorphisms of free groups, and geodesics in outer space through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
43 minutes
On-Demand
Free-Video