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

#Scalar Curvature

Showing: 32 courses
Institute for Advanced Study

Notions of Scalar Curvature - Mikhail Gromov

0 rewiews
Explore scalar curvature concepts, spin bundles, and rich curves with renowned mathematician Mikhail Gromov in this advanced topology lecture from the Institute for Advanced Study.
Add to list
6 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

How Hard is the Theorem of Stolz - Metrics and Scalar Curvature in Spin Manifolds

0 rewiews
Delve into the complexity of Stolz's theorem on positive scalar curvature metrics, exploring metric deformations and manifold transformations through groundbreaking mathematical research findings.
Add to list
1 Lesons
1 hour 5 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

Curvature of the Determinant Line Bundle for Noncommutative Tori

0 rewiews
Explore differential geometry of curved noncommutative tori, including spectral invariants and curvature of determinant line bundle for Dirac operators on noncommutative two tori.
Add to list
18 Lesons
55 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
Applied Algebraic Topology Network

Yevgeny Liokumovich - Urysohn Width, Isoperimetric Inequalities and Scalar Curvature

0 rewiews
Explore metric spaces, Hausdorff measure, and continuous mappings. Discover connections to isoperimetric inequalities and Riemannian geometry's positive scalar curvature.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Initial Data Rigidity via Dirac-Witten Operators

0 rewiews
Explore initial data rigidity in spin settings using Dirac-Witten operators. Derive a rigidity theorem for manifolds with boundary, examining dominant energy conditions and null expansion scalars.
Add to list
1 Lesons
54 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schoen's Conjecture for Limits of Isoperimetric Surfaces

0 rewiews
Explore Schoen's conjecture for asymptotically flat Riemannian manifolds, focusing on area-minimizing hypersurfaces and recent developments in mathematical relativity.
Add to list
1 Lesons
57 minutes
On-Demand
Free-Video
Conference GSI

Monotonicity of the Scalar Curvature of the Quantum Exponential Family for Transverse-Field Ising

0 rewiews
Explore scalar curvature monotonicity in quantum exponential family for transverse-field Ising chains, examining finite-size effects and implications for Petz conjecture.
Add to list
1 Lesons
21 minutes
On-Demand
Free-Video
Global Noncommutative Geometry Seminar

Index Pairing and Quantitative Control of Scalar Curvature

0 rewiews
Explore index pairing and quantitative scalar curvature control in noncommutative geometry, focusing on direct operators, enlargibility, and metric space theory.
Add to list
12 Lesons
48 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Recent Developments in Constant Mean Curvature Hypersurfaces - Part II

0 rewiews
Explore recent developments in constant mean curvature hypersurfaces, focusing on min-max theorems and the half-volume spectrum. Gain insights into advanced geometric analysis concepts.
Add to list
14 Lesons
51 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Scalar Curvature Rigidity in Manifolds

0 rewiews
Explore scalar curvature rigidity in manifolds, examining known solutions and current research questions using spinorial techniques.
Add to list
1 Lesons
48 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Scalar Curvature Rigidity and Extremality in Dimension 4

0 rewiews
Explore scalar curvature rigidity in 4D using Finsler-Thorpe trick and twisted spinor methods. Discover area-extremal properties of 4-manifolds with nonnegative sectional curvature.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Recent Inequalities on the Mass-to-Capacity Ratio

0 rewiews
Explore new inequalities for mass-to-capacity ratio on manifolds with nonnegative scalar curvature, revealing proofs of positive mass theorem and applications in geometry.
Add to list
1 Lesons
47 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Smoothing by Ricci-DeTurck Flow and Applications to Scalar Curvature

0 rewiews
Explore Ricci-DeTurck flow's existence theory for non-smooth initial metrics and its applications to scalar curvature rigidity problems in geometry.
Add to list
1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Waists Measured via Urysohn Width in Riemannian Manifolds

0 rewiews
Explore Urysohn width's role in measuring approximate dimension of Riemannian manifolds and its connection to positive scalar curvature, with insights on slicing manifolds.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Width, Scalar Curvature and Macroscopic Scalar Curvature

0 rewiews
Explore the interplay between positive scalar curvature and macroscopic scalar curvature, examining Urysohn width and closed geodesics in PSC and PMSC spaces.
Add to list
1 Lesons
39 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Another Aspect of Gromov's Conjectures on Scalar Curvature

0 rewiews
Explore Gromov's scalar curvature conjectures through general relativity, examining partial solutions via the positive mass theorem.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometric Variational Methods for Scalar Curvature and Other Curvature Problems

0 rewiews
Explore geometric variational problems and their applications to curvature conditions, focusing on Schoen-Yau's approach and recent extensions.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Global Effects of Positive Scalar Curvature in Geometry

0 rewiews
Explorez les effets globaux de la courbure scalaire positive, y compris le problème de remplissage de Gromov et les théorèmes de type Llarull sur les variétés complètes.
Add to list
1 Lesons
44 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Index Theory and Applications to Scalar Curvature

0 rewiews
Explore index theorems for compact manifolds with boundary and their applications to scalar curvature geometry, focusing on Dirac operators and boundary value problems.
Add to list
1 Lesons
49 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Gromov's Rigidity Theorem for Polytopes with Acute Angles

0 rewiews
Explore recent developments in dihedral rigidity, focusing on Gromov's conjecture and Brendle-Wang's alternative smoothing construction for polytopes with acute angles.
Add to list
1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Positive Mass Theorem and Positive Scalar Curvature with Singularities

0 rewiews
Explore recent developments in positive mass theorem and scalar curvature, focusing on singular metrics and isolated conical singularities in mathematical physics.
Add to list
1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Scalar Curvature Rigidity of Polytopes

0 rewiews
Explore Riemannian metrics and scalar curvature positivity in differential geometry. Delve into Gromov's comparison principle for polytopes and recent advancements in verifying his conjecture.
Add to list
1 Lesons
58 minutes
On-Demand
Free-Video
ICTP Mathematics

Static Black Hole Uniqueness Theorems - Lecture 3

0 rewiews
Explore asymptotic flatness, positive mass theorem, and scalar curvature in static black hole uniqueness theorems with expert Carla Cederbaum.
Add to list
5 Lesons
1 hour 10 minutes
On-Demand
Free-Video
ICTP Mathematics

Some Geometric Properties of Spacetime - Lecture 2

0 rewiews
Explore geometric properties of spacetime, including theorems on topology, dihedral angles, and scalar curvature, with insights on the positive mass theorem and Gauss-Bonnet theorem.
Add to list
9 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Fields Institute

Quantum Ricci Curvature and Quantum Gravity

0 rewiews
Explore quantum Ricci curvature's role in quantum gravity theories, examining its implications for spacetime structure and gravitational interactions at the quantum level.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

The Ground on Which We Stand

0 rewiews
Explore the foundations of mathematical relativity, scalar curvature, and synthetic Lorentzian geometry in this thought-provoking lecture by Fay Dowker from Imperial College London.
Add to list
1 Lesons
54 minutes
On-Demand
Free-Video
IMSA

Almost Schur Lemma and Positivity Conditions in Quaternionic Contact Geometry

0 rewiews
Explore quaternionic contact geometry, focusing on the Almost Schur Lemma and its implications for estimating qc scalar curvature under specific conditions.
Add to list
1 Lesons
45 minutes
On-Demand
Free-Video
HyperComplex Seminar

Non-linear Electrodynamics Derived from Kaluza-Klein 5-Dimensional Gravity

0 rewiews
Explore non-linear electrodynamics derived from Kaluza-Klein theory, examining unique Maxwell equation generalizations and potential static solutions as electron models.
Add to list
1 Lesons
55 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Mass Aspect Function for Weakly Regular Asymptotically Hyperbolic Manifolds

0 rewiews
Explore mass aspect function definition for weakly regular asymptotically hyperbolic manifolds, extending Wang's work to low regularity settings using cut-off functions and distribution theory.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
BIMSA

Mass-Capacity Inequalities and Their Implications in Asymptotically Flat Manifolds

0 rewiews
Explore mass-capacity inequalities in asymptotically flat manifolds, their sharp lower bounds, and applications in Riemannian geometry and general relativity.
Add to list
1 Lesons
1 hour 5 minutes
On-Demand
Free-Video