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#Mean Curvature Flow

Showing: 24 courses
Institute for Pure & Applied Mathematics (IPAM)

Topological Properties of Hypersurfaces with Low Entropy - IPAM at UCLA

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Explore topological properties of hypersurfaces with low entropy, focusing on Colding-Minicozzi entropy, mean curvature flow, and closed hypersurfaces in this advanced mathematics lecture.
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8 Lesons
22 minutes
On-Demand
Free-Video
ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 2

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Explore phase-field models for motion by mean curvature, covering topics like skew symmetry, levelsets, distance functions, and classical statements with expert Panagiotis Souganidis.
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13 Lesons
1 hour 12 minutes
On-Demand
Free-Video
ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 5

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Explore singularities in mean curvature flow of convex hypersurfaces, covering max inequality, weak solutions, surgeries, and Type 2 singularities with intuitive explanations.
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8 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Mathematical Union

Entropy in Mean Curvature Flow

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Explore entropy in hypersurfaces and its role in mean curvature flow. Survey recent progress on conjectures about sharp lower bounds and extensions in geometric complexity.
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1 Lesons
43 minutes
On-Demand
Free-Video
ICTP Mathematics

Existence and Regularity Theories of Brakke Flow - Lecture 4

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Explore advanced theories of Brakke flow, focusing on existence and regularity aspects in this in-depth lecture by Yoshihiro Tonegawa from Tokyo Institute of Technology.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics and Symmetry of Ancient Convex Mean Curvature Flows - Lecture 5

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Explore dynamics and symmetry of ancient convex mean curvature flows in this advanced mathematics lecture by Sigurd Angenent from the University of Wisconsin-Madison.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics, Symmetry and Asymmetry of Ancient Solutions to Mean Curvature Flow - Ancient Convex Solutions to MCF

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Explore ancient convex solutions to Mean Curvature Flow, examining dynamics, symmetry, and asymmetry in this advanced mathematics lecture by Sigurd Angenent.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 4

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Explore advanced mathematical concepts in phase-field models and their application to motion by mean curvature, presented by a renowned expert from the University of Chicago.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
ICTP Mathematics

The Thresholding Scheme for Mean Curvature Flow as Minimizing Movement Scheme

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Explore the thresholding scheme for mean curvature flow, examining its role as a minimizing movement scheme in this advanced mathematics lecture by Felix Otto from the Max Planck Institute.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics, Symmetry and Asymmetry of Ancient Solutions to Mean Curvature Flow - ODE Techniques in Curvature Flows

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Explore ODE techniques in curvature flows, focusing on dynamics, symmetry, and asymmetry of ancient solutions to mean curvature flow. Gain insights from expert Sigurd Angenent.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 2

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Explore singularities in mean curvature flow of convex hypersurfaces, focusing on advanced mathematical concepts and their implications in geometric analysis.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
ICTP Mathematics

Monotonicity Formulae and Non-Collapsing Estimates for Mean Curvature Flow with Applications - Lecture 2

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Explore monotonicity formulae and non-collapsing estimates in mean curvature flow, with insights on their applications and implications for geometric analysis.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces

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Explore mean curvature flow singularities in mean convex hypersurfaces. Learn about extrinsic curvature flows and their applications in geometry and topology.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
ICTP Mathematics

Basic Notions Seminar on Mean Curvature Flow of Closed Hypersurfaces

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Explore mean curvature flow of closed hypersurfaces, from basic definitions to advanced topics, including variational aspects and key theorems like Grayson's and Huisken's.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Directed Mean Curvature Flow in Noisy Environment

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Explore directed mean curvature flow in noisy environments and its connection to the KPZ equation through advanced mathematical analysis and stochastic PDEs.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

The Thresholding Scheme for Mean Curvature Flow and De Giorgi's Ideas for Gradient Flows

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Explores the thresholding scheme for mean curvature flow in multi-phase systems, its applications in grain growth, and convergence proofs based on De Giorgi's gradient flow ideas.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Fields Institute

Connections Between Geometry and Partial Differential Equations

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Explore the fascinating interplay between geometric structures and partial differential equations, uncovering deep mathematical insights and applications.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Excursion into Mean Curvature Flow

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Explore mean curvature flow's regularity theory, focusing on distinctions between one-dimensional and higher-dimensional flows in this geometric analysis lecture.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Complexity of Submanifolds and Colding-Minicozzi Entropy

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Explore Colding-Minicozzi entropy's role in analyzing submanifold complexity and its applications to mean curvature flow singularities and hypersurface simplicity.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Generic Dynamics of the Mean Curvature Flows

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Explore generic dynamics of mean curvature flows, including perturbation of shrinkers and isolatedness of cylindrical singularities in hypersurface evolution.
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1 Lesons
47 minutes
On-Demand
Free-Video
BIMSA

Recent Progress on Self-Expanders of Mean Curvature Flow and Applications

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Explore recent advancements in self-expanders of mean curvature flow, their role in modeling singularities, and applications in geometric analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Mathemaniac

How Physics Solves Plateau's Problem - Applications in Math and 3D Graphics

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Explore how physics and mean curvature flow solve Plateau's problem, with applications in mathematics, soap films, and 3D graphics. Discover connections between minimal surfaces and active research areas.
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1 Lesons
18 minutes
On-Demand
Free-Video
USC Probability and Statistics Seminar

Set Valued Hamilton-Jacobi-Bellman Equations - Applications and Theory

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Explore set valued PDEs and their applications in stochastic optimization, risk measures, and game theory. Learn about dynamic programming principles and set valued HJB equations.
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1 Lesons
54 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Recent Progress in Mean Curvature Flow

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Delve into advanced mathematical concepts of mean curvature flow, exploring recent breakthroughs in singularity formation and the resolution of the Multiplicity One Conjecture.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video