Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 3
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.
Two-Scale FEMs for Non-Variational Elliptic PDEs
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.
A Nonlinear Least-squares Finite Element Method for the Monge-Ampere Equation
Explore a nonlinear least-squares finite element method for solving the Monge-Ampere equation, focusing on smooth convex solutions and innovative degrees of freedom.
The Monge-Ampère Equations and the Bergman Kernel - Lecture 1
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.
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids
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.
Monge-Ampère's Equation in Hypercomplex Geometry
Explore Monge-Ampère's equation in hypercomplex geometry, delving into advanced mathematical concepts and their applications.
Second Order Interior Estimates of Monge-Ampere Type Equations
Explore interior second order derivative estimates for Monge-Ampere type equations, focusing on partial structure cases using Pogorelov estimates and Legendre transforms.
Special Holonomy and Geometric Structures on Complex Manifolds
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.
Special Holonomy and Geometric Structures on Complex Manifolds
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.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore complex manifolds, special holonomy, and geometric structures. Delve into relationships between differential, complex, and algebraic geometry, with applications in physics and symplectic geometry.
Special Holonomy and Geometric Structures on Complex Manifolds
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.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.
Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds
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.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
Special Holonomy and Geometric Structures on Complex Manifolds
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.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore special holonomy and geometric structures on complex manifolds, delving into Lie group actions, differential geometry, and connections to various mathematical fields.
Special Holonomy and Geometric Structures on Complex Manifolds
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.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
Introduction to Optimal Transportation and Monge Ampère Type Equations - Lecture 2
Explore optimal transportation and Monge Ampère equations, covering key concepts like super differentials, isoperimetric problems, and probability measures in this advanced mathematics lecture.
Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 1
Explore optimal transportation, Monge-Ampère equations, and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio from Scuola Normale Superiore di Pisa.