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#Monge-Ampère Equation

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ICTP Mathematics

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

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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.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Two-Scale FEMs for Non-Variational Elliptic PDEs

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Explore advanced finite element methods for non-variational elliptic PDEs, focusing on two-scale approaches, monotonicity enforcement, and novel error estimation techniques for complex mathematical problems.
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1 Lesons
50 minutes
On-Demand
Free-Video
BIMSA

A Nonlinear Least-squares Finite Element Method for the Monge-Ampere Equation

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Explore a nonlinear least-squares finite element method for solving the Monge-Ampere equation, focusing on smooth convex solutions and innovative degrees of freedom.
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1 Lesons
51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Monge-Ampère Equations and the Bergman Kernel - Lecture 1

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Explore complex analysis in higher dimensions, focusing on Cauchy-Riemann equations, L2 theory, and applications to geometry. Learn about Bergman kernels and extension theorems in this advanced mathematics lecture.
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18 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids

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Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.
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20 Lesons
46 minutes
On-Demand
Free-Video
Banach Center

Monge-Ampère's Equation in Hypercomplex Geometry

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Explore Monge-Ampère's equation in hypercomplex geometry, delving into advanced mathematical concepts and their applications.
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1 Lesons
44 minutes
On-Demand
Free-Video
BIMSA

Second Order Interior Estimates of Monge-Ampere Type Equations

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Explore interior second order derivative estimates for Monge-Ampere type equations, focusing on partial structure cases using Pogorelov estimates and Legendre transforms.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore vertex algebras derived from the Hull Strominger system in complex manifolds, delving into special holonomy and geometric structures. Gain insights into advanced mathematical concepts and their applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore cubic differentials and harmonic maps in asymptotic cones, delving into special holonomy and geometric structures on complex manifolds. Gain insights from expert John Loftin.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore complex manifolds, special holonomy, and geometric structures. Delve into relationships between differential, complex, and algebraic geometry, with applications in physics and symplectic geometry.
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1 Lesons
51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore non-Kähler manifolds through mapping tori in this advanced mathematics lecture, delving into special geometric structures, Lie group actions, and their connections to various mathematical fields.
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1 Lesons
49 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds

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Explore Killing and Ricci-Hessian equations in (pseudo)Kähler geometry. Delve into special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore special holonomy and geometric structures on complex manifolds, delving into Lie group actions, differential geometry, and connections to various mathematical fields.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.
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1 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
54 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Optimal Transportation and Monge Ampère Type Equations - Lecture 2

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Explore optimal transportation and Monge Ampère equations, covering key concepts like super differentials, isoperimetric problems, and probability measures in this advanced mathematics lecture.
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15 Lesons
1 hour 58 minutes
On-Demand
Free-Video
ICTP Mathematics

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

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