Nonlinear Harmonic Maps and the Energy Identity
Dive into nonlinear harmonic maps, exploring singularity formation and defect measures. Gain insights into the Energy Identity conjecture and its recent proof in this advanced mathematics lecture.
Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1
Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.
Harmonic Maps and Rigidity
Explore harmonic maps, rigidity theorems, and their applications in geometry. Delve into existence theory, Mostow's strong rigidity, and approaches to rigidity using harmonic maps and the Bochner method.
Harmonic Maps and Random Walks on Countable Groups
Explore harmonic maps and random walks on countable groups, focusing on CAT(0) spaces and group actions with zero escape rate.
Variational Theory for Harmonic Maps and Applications - Lecture 1
Explore variational theory for harmonic maps and its applications in this advanced mathematical lecture by Daniel Stern.
Variational Theory for Harmonic Maps and Applications - Lecture 2
Explore advanced variational theory for harmonic maps and its applications in geometric analysis through this in-depth mathematical lecture.
Continuous Time Bubbling for the Harmonic Map Heat Flow in Two Dimensions
Explore continuous time bubbling in harmonic map heat flow, focusing on finite energy maps from plane to two-sphere without symmetry assumptions.
Mapping Riemannian Manifolds in Metric Spaces
Explore Riemannian manifold mappings, their applications in geometry, and the construction of canonical shapes. Gain insights into special mappings, stability problems, and geometric inequalities.
Geometric Variational Problems: Regularity vs Singularity Formation
Explore techniques for existence, regularity, and singularity formation in geometric problems, focusing on harmonic maps, Yang-Mills connections, and nematic liquid crystals. Learn about new gluing methods for parabolic flows.
Singularities of Minimizing Harmonic Maps
Explore singularities of minimizing harmonic maps, delving into mathematical concepts and theories with expert insights from Michał Miśkiewicz.
Harmonic Maps with Free Boundary: Regularity, Singularity Formation and Geometric Applications
Explore harmonic maps with free boundary, covering existence, regularity, and parabolic blow-up. Examine elliptic and parabolic problems, recent advances in regularity theory, and geometric applications to the Steklov problem.
Stability of Sobolev Inequalities - ICBS 2024
Explore quantitative stability of Sobolev inequalities, focusing on Struwe's decomposition and recent advancements in dimensional-dependent estimates for multiple bubbles in various dimensions.
Algebraic Curves and Minimal Surfaces
Explore algebraic curves and minimal surfaces with Prof. Sebastian Heller, delving into Riemann surfaces, harmonic maps, and experimental mathematics.
Dirac Eigenvalue Optimization and Harmonic Maps
Explore Dirac eigenvalue optimization, comparing it to Laplace eigenvalues and examining critical metrics' correspondence with harmonic maps to complex projective spaces.
Rectifiable-Reifenberg and the Regularity of Stationary and Minimizing Harmonic Maps
Explore sharp rectifiability results for singular sets of minimizing harmonic maps, with uniform Minkowski bounds and integrability. Analyze quantitative stratification and dimension-reduction techniques.
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 advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.