Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 4
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, Part 3
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, Part 4
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 3
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 4
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 3
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 4
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
New Perspectives on Borel Summation - Lecture 3
Explore new perspectives on Borel summation through Airy-Lucas functions, examining their properties, linear ODEs, and thimble integral expressions. Gain insights from both ODE and integral equation approaches.
New Perspectives on Borel Summation - Lecture 4
Explore Airy-Lucas functions through Borel summation, focusing on thimble integrals and hypergeometric Laplace transforms. Gain insights into Stokes phenomenon reflections in the Borel plane.
Construction of Invariant Measures for 2D Euler and Slow Growth of Sobolev Norms
Explore the growth of Sobolev norms in 2D Euler equations, examining invariant measures and their impact on solution behavior in highly regular spaces.
The Multiple Membrane Problem
Explore the N-membranes problem in mathematics, focusing on equilibrium positions of ordered elastic membranes and their free boundary regularity.
Uniform Volume Doubling and Functional Inequalities on Lie Groups
Explore functional inequalities on Lie groups, focusing on uniform volume doubling and its implications for SU(2) and related structures. Gain insights into heat kernel estimates and measure contracting properties.
An Introduction to Super Critical Singularities - Lecture 4: Stability of Implosion
Explore advanced concepts in non-linear PDE singularities, focusing on defocusing problems and their connection to fluid mechanics. Gain insights into key results, open problems, and proof techniques.
An Introduction to Super Critical Singularities - Lecture 3: On Self Similar Solutions for Compressible Euler
Explore self-similar solutions for compressible Euler equations and their role in singularity formation for non-linear PDEs, with connections to fluid mechanics.
An Introduction to Super Critical Singularities - Lecture 2: Front Singularities
Explore front singularities in non-linear PDEs, focusing on defocusing problems and their connection to fluid mechanics. Gain insights into key results, open problems, and proof techniques.
Regularity Structures for Quasilinear Singular SPDEs
Explore regularity structures for analyzing semilinear and quasilinear parabolic singular stochastic PDEs, suitable for beginners and experts alike.
Generic Regularity in Obstacle Problems
Explore the classical obstacle problem, its free boundary, and recent developments in regularity theory with insights from renowned mathematician Alessio Figalli.
Stability of Llarull's Theorem in All Dimensions
Explore stability of Llarull's theorem in all dimensions using spin geometry, with results in intrinsic flat and C^0-convergence outside small sets.
Variants of Lojasiewicz's Gradient Inequality
Explore Lojasiewicz's gradient inequality, its extensions, and implications for gradient trajectories. Gain insights into a new variant for vector-valued maps and its geometric consequences.
Invariant and Quasi-Invariant Measures for Actions of Oligomorphic Groups - Part II
Explore advanced concepts of invariant and quasi-invariant measures in oligomorphic group actions, building on Part I's foundations.
Geometric Aspects of the Planar Least Gradient Problem
Explore geometric aspects of the planar least gradient problem, delving into mathematical concepts and analytical techniques.