Главная
Study mode:
on
You
History
Saved
In progress 0 courses
compleat 0 courses
#Art & Design #Adobe #ChatGPT #GitHub

#Ricci Curvature

Showing: 25 courses
Institute for Advanced Study

Existence Theory of Minimal Hypersurfaces - Fernando Marquez

0 rewiews
Explore the existence theory of minimal hypersurfaces, covering minimax theorems, space of cycles, and volume spectrum. Gain insights into Ricci curvature and generic metrics.
Add to list
16 Lesons
59 minutes
On-Demand
Free-Video
ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 3

0 rewiews
Explore geometric measure theory and optimal transport with a focus on Monge-Ampère equations and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio.
Add to list
1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sharp Concavity of the Isoperimetric Profile Under Lower Ricci Bounds - Workshop on Synthetic Curvature Bounds

0 rewiews
Explore sharp concavity of isoperimetric profiles in RCD spaces, extending Bavard-Pansu's work on Ricci curvature bounds to non-smooth, finite-dimensional settings.
Add to list
1 Lesons
53 minutes
On-Demand
Free-Video
International Mathematical Union

Canonical Kaehler Metrics and Stability of Algebraic Varieties

0 rewiews
Explore canonical Kähler metrics, algebraic variety stability, and the Yau-Tian-Donaldson conjecture in complex geometry. Delve into Kähler manifolds, curvature, and pluripotential theory with recent progress and applications.
Add to list
28 Lesons
44 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Ricci Curvature and Functional Inequalities for Interacting Particle Systems

0 rewiews
Explore entropic Ricci curvature bounds and their applications to interacting particle systems, focusing on functional inequalities and convergence rates to equilibrium in nonnegative curvature scenarios.
Add to list
12 Lesons
45 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Curvature Bounds and the Length of the Shortest Closed Geodesic

0 rewiews
Explore upper bounds for shortest periodic geodesics on Riemannian manifolds, examining curvature's impact on closed geodesic length in various geometric contexts.
Add to list
1 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

Kähler Manifolds with Curvature Bounded Below

0 rewiews
Explore Kähler manifolds with curvature bounded below, covering Yau's uniformization conjecture, compactification of manifolds, and Gromov-Hausdorff limits in this advanced mathematical survey.
Add to list
1 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 3

0 rewiews
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Add to list
1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 2

0 rewiews
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Add to list
1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 1

0 rewiews
Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.
Add to list
1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Tamed Spaces: Dirichlet Spaces with Distribution-Valued Ricci Bounds

0 rewiews
Explore Dirichlet spaces with distribution-valued Ricci bounds, focusing on tamed spaces theory and singular perturbations of Dirichlet form. Investigate integrated Bochner inequality and Bakry-Émery condition generalizations.
Add to list
1 Lesons
38 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differentiating in a Non-Differentiable Environment

0 rewiews
Explore differentiation in non-differentiable spaces, extending beyond traditional smooth manifolds to spaces with Ricci curvature bounds. Gain insights into advanced mathematical concepts.
Add to list
1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Lorentzian Analog for Hausdorff Dimension and Measure

0 rewiews
Explore a novel approach to geometric dimension in Lorentzian spaces, comparing it to Hausdorff dimension and examining applications in spacetime analysis and synthetic curvature bounds.
Add to list
1 Lesons
36 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Synthetic Time-like Ricci Curvature Lower Bounds: The Isoperimetric Inequality

0 rewiews
Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.
Add to list
1 Lesons
38 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Kato Meets Bakry-Émery: Curvature Conditions in Riemannian Geometry

0 rewiews
Explore the relationship between Bakry-Émery curvature-dimension and Kato condition on Ricci curvature, uncovering insights on Kato limit spaces and Riemannian manifolds.
Add to list
1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds

0 rewiews
Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Geometries

0 rewiews
Explore unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian geometries through gauge metric measure spaces. Discover recent advances in metric measure and sub-Riemannian spaces.
Add to list
1 Lesons
45 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Nonnegative Ricci Curvature, Nilpotency, and Hausdorff Dimension

0 rewiews
Explore nonnegative Ricci curvature, nilpotency, and Hausdorff dimension in relation to universal covers, minimal representing loops, and asymptotic cones of manifolds.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Spaces with Ricci Curvature Lower Bounds

0 rewiews
Explore recent findings on spaces with nonnegative Ricci curvature, including singular set dimensions, fractal-like Weyl's laws, and nonproper Busemann functions in manifolds.
Add to list
1 Lesons
36 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Ricci Curvature, Fundamental Group and the Milnor Conjecture - Part 2

0 rewiews
Explore advanced concepts in topology and geometry, focusing on counterexamples to the Milnor conjecture and their construction using mapping class groups and asymptotic cones.
Add to list
1 Lesons
57 minutes
On-Demand
Free-Video
BIMSA

Ricci Limit Spaces are Semi-Locally Simply Connected

0 rewiews
Explore Ricci limit spaces and their semi-local simple connectivity, delving into fundamental groups and Gromov-Hausdorff convergence of Riemannian manifolds.
Add to list
1 Lesons
41 minutes
On-Demand
Free-Video
ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 1

0 rewiews
Explore optimal transportation, Monge-Ampère equations, and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio from Scuola Normale Superiore di Pisa.
Add to list
1 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Eldan-Gross Inequality - From Boolean Functions to Continuous Spaces

0 rewiews
Delve into advanced mathematical concepts exploring the Eldan-Gross inequality, sensitivity of Boolean functions, and heat semigroup analysis through hypercontractivity and isoperimetric approaches.
Add to list
1 Lesons
53 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Timelike Ricci Bounds and Einstein's Theory of Gravity in Non-Smooth Settings

0 rewiews
Explore Lorentzian synthetic spaces, optimal transport theory, and timelike Ricci curvature bounds to characterize Einstein's equations in non-smooth spaces, with applications to gravity.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry

0 rewiews
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video