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#Diffeomorphisms

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University of Chicago Department of Mathematics

Symmetries of Manifolds - Lecture 3

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Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
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1 Lesons
1 hour 2 minutes
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Free-Video
University of Chicago Department of Mathematics

Symmetries of Manifolds - Lecture 2

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Delve into symmetries of manifolds, exploring classical and recent results on spaces of symmetries for simple manifolds like spheres and discs, with insights into emerging conjectural perspectives.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Symmetries of Manifolds - Lecture 1

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Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 1

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Explore renormalization theory in two-dimensional dynamical systems, extending techniques from one-dimensional cases to higher dimensions using non-uniformly partially hyperbolic systems.
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1 Lesons
38 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1

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Dive into chain recurrence classes of generic diffeomorphisms, exploring advanced concepts in dynamical systems and topology.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Strong Positive Recurrence for Diffeomorphisms

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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.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 3

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Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.
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1 Lesons
2 hours 2 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 2

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Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1A

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Delve into chain recurrence classes and Conley's theory of Lyapunov functions in dynamical systems, exploring robust non-hyperbolic diffeomorphisms and their relationship with aperiodic classes and adding machines.
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1 Lesons
47 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 1B

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Explore advanced renormalization theory in two-dimensional dynamical systems, focusing on self-similarity, non-uniform partial hyperbolicity, and the extension of unimodal map concepts to higher dimensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 2B

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Delve into chain recurrence classes in diffeomorphisms, exploring Conley's theory, Lyapunov functions, and the properties of periodic points in relation to homoclinic classes through advanced mathematical analysis.
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1 Lesons
34 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization Theory in Two-Dimensional Dynamical Systems - Lecture 2A

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Delve into advanced renormalization theory for two-dimensional dynamical systems, exploring self-similarity, non-uniform partial hyperbolicity, and geometric control at microscopic scales.
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8 Lesons
48 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 2A

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Delve into chain recurrence classes in dynamical systems, exploring Conley's theory, Lyapunov functions, and robust non-hyperbolic diffeomorphisms. Learn about aperiodic classes and adding machines in generic systems.
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1 Lesons
35 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1B

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Delve into chain recurrence classes in diffeomorphisms, exploring Conley's theory, Lyapunov functions, and robust non-hyperbolic examples leading to aperiodic classes and adding machines in dynamical systems.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 3B

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Delve into advanced dynamical systems theory, exploring chain recurrence classes, viral chain properties, flexible periodic points, and filtrating Markov partitions in diffeomorphisms.
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1 Lesons
33 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 2B

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Delve into advanced renormalization theory for two-dimensional dynamical systems, exploring self-similarity, non-uniform partial hyperbolicity, and geometric control at microscopic scales.
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6 Lesons
49 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 3a

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Delve into advanced concepts of chain recurrence classes, exploring viral chain properties, flexible periodic points, and filtrating Markov partitions in diffeomorphisms and dynamical systems.
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9 Lesons
52 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Singularities and Diffeomorphism - IPAM at UCLA

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Explore singularities and diffeomorphism in calculus of variations, covering special cases, classification, and applications in probability and geometry.
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17 Lesons
32 minutes
On-Demand
Free-Video
IMSA

Research Seminar - Arc-Connectedness of the Space of 1-Dimensional Commuting Diffeomorphisms

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Explore arc-connectedness in 1D commuting diffeomorphisms with Andrés Navas. Gain insights into group actions, community spaces, and rotational concepts in this advanced mathematics seminar.
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10 Lesons
50 minutes
On-Demand
Free-Video
IMSA

On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces

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Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.
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17 Lesons
48 minutes
On-Demand
Free-Video
IMSA

Subtly Knotted Surfaces Separated by Many Internal Stabilizations

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Exploration of smoothly knotted surfaces in 4-manifolds, focusing on isotopy, internal stabilizations, and diffeomorphisms. Discusses infinite collections of surfaces with unique properties and infinite stabilization diameter.
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1 Lesons
52 minutes
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Free-Video
IMSA

Danny Ruberman- Diffeomorphism Groups of 4-Manifolds

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Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.
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1 Lesons
1 hour 4 minutes
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Free-Video
IMSA

Equivariant A-Theory & Spaces of Equivariant H-Cobordisms

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Explore equivariant A-theory and h-cobordisms, focusing on Waldhausen's algebraic K-theory of manifolds and its role in classifying manifolds and diffeomorphisms.
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1 Lesons
1 hour 3 minutes
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Free-Video
Hausdorff Center for Mathematics

Homeomorphisms of Euclidean Space

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Explore recent advances in understanding the topological group of homeomorphisms of Euclidean space, including methods and emerging conjectures in geometric topology.
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1 Lesons
42 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

On the Denseness of Finitude of Sinks in Diffeomorphisms of Large Number of Intervals

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Explore denseness of finitude of sinks in diffeomorphisms and transformations of large interval numbers. Gain insights from Carlos Gustavo Moreira's presentation at the International Conference on Dynamical Systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰

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Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Conjugate Points and the MC Criterion in Volume-Preserving Diffeomorphisms - Lecture

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Explore conjugate points on volume-preserving diffeomorphisms, focusing on the MC criterion and its applications in fluid dynamics and Riemannian geometry.
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10 Lesons
44 minutes
On-Demand
Free-Video
BIMSA

Pseudo-Isotopy and Diffeomorphisms of 4-Manifolds

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Explore recent advancements in pseudo-isotopy theory and its applications to studying diffeomorphisms of 4-manifolds with David Gabai.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
BIMSA

The Ricci Flow - Lecture by Richard Hamilton

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Explore the Ricci flow equation, its applications in geometry, and its role in understanding manifold curvature evolution. Gain insights into singularities and geometric analysis.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Kavli Institute for Theoretical Physics

Isometric Evolution in De Sitter Gravity - Kristan Jensen

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Explores isometric evolution in de Sitter gravity, focusing on boundary conditions, large diffeomorphisms, and wave functions. Discusses implications for higher-dimensional gravity and quantum mechanics.
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19 Lesons
41 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Musings on Entanglement Entropy in String Theory - Lecture 3

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Explore entanglement entropy in string theory, focusing on UV divergences, black hole entropy, and worldsheet perspectives. Delve into gauge transformations, diffeomorphisms, and path integrals.
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14 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Stony Brook Mathematics

In Search of Euler Equilibria via the Magnetic Relaxation Equations

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Explore geometric fluid dynamics, focusing on Euler equilibria and Moffatt's Magnetic Relaxation equations. Delve into recent findings on these mathematically challenging active vector equations with cubic nonlinearity.
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1 Lesons
39 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Can a Scalar Conservation Law Imitate a Diffeomorphism? - Lecture on Fluid Flow Geometry

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Explore the representation of scalar convex conservation laws as paths in diffeomorphism spaces, examining weak solutions and their implications for fluid dynamics.
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1 Lesons
50 minutes
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Free-Video
International Centre for Theoretical Sciences

Emergence of Diffeomorphism from Quantum Field Theory

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Exploring the potential emergence of diffeomorphism from quantum field theory, delving into fundamental concepts at the intersection of quantum mechanics and general relativity.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometry, Topology and Discrete Symmetries Revealed by Deep Neural Networks

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Explore deep neural networks' ability to reveal geometry, topology, and discrete symmetries in manifolds. Learn about universal approximators and their applications in inverse problems and group actions.
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1 Lesons
36 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