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Institute for Advanced Study

Serrin's Overdetermined Problem in Rough Domains

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Explore Serrin's overdetermined theorem extension to rough domains, including Lipschitz and finite perimeter sets, with insights on slit discontinuities and density bounds.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institute for Advanced Study

Singularities of Teichmueller Harmonic Map Flow - Melanie Rupflin

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Explore singularities in Teichmueller harmonic map flow, covering gradient flow, conformity, symmetries, and rescaled flow behavior in this advanced mathematical analysis.
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15 Lesons
55 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Some Problems About Centroids of Convex Bodies

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Explore recent advancements in understanding centers of mass for convex bodies, delving into mathematical concepts and their implications.
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1 Lesons
33 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Completion of the Space of Lagrangian Submanifolds for the Spectral Metric

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Explore the spectral metric on Lagrangian spaces, its completion, and connections to symplectic topology and sheaf theory through quantization.
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1 Lesons
48 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Não Linear de Espaços de Banach - Palestra Especial 2023

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Explore a geometria não linear de espaços de Banach nesta palestra especial ministrada por Bruno Mendonça Braga, abordando conceitos avançados de matemática pura.
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1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sharp Concavity of the Isoperimetric Profile Under Lower Ricci Bounds - Workshop on Synthetic Curvature Bounds

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Explore sharp concavity of isoperimetric profiles in RCD spaces, extending Bavard-Pansu's work on Ricci curvature bounds to non-smooth, finite-dimensional settings.
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1 Lesons
53 minutes
On-Demand
Free-Video
The Royal Institution

The Extraordinary Theorems of John Nash

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Explore John Nash's revolutionary contributions to game theory and geometric analysis with Fields Medal winner Cédric Villani, delving into the world of mathematical genius and groundbreaking theorems.
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1 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 12

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 24

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 15

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led instruction from the Fields Institute.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 13

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 11

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 8

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 10

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Log-Minkowski Problem - IPAM at UCLA

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Explore the log-Minkowski problem and recent progress in convex geometry, including uniqueness of self-similar solutions and isomorphic resolution, with applications to centro-affine differential geometry.
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9 Lesons
28 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Convex Geometry of Blind Deconvolution and Matrix Completion Revisited

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Explores convex geometry in blind deconvolution and matrix completion, analyzing dimensional factors in noise bounds and proposing alternative error scaling approaches for low-rank matrix recovery problems.
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23 Lesons
50 minutes
On-Demand
Free-Video
IMSA

Research Seminar - Arc-Connectedness of the Space of 1-Dimensional Commuting Diffeomorphisms

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Explore arc-connectedness in 1D commuting diffeomorphisms with Andrés Navas. Gain insights into group actions, community spaces, and rotational concepts in this advanced mathematics seminar.
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10 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 2

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Explore phase-field models for motion by mean curvature, covering topics like skew symmetry, levelsets, distance functions, and classical statements with expert Panagiotis Souganidis.
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13 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Stationary Set Method for Estimating Oscillatory Integrals

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Explore a stationary set method for estimating oscillatory integrals, with applications in number theory and Fourier analysis. Learn about o-minimal structures and geometric interpretations of upper bounds.
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19 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Emanuel Milman: Functional Inequalities on Sub-Riemannian Manifolds via QCD

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Explores functional inequalities on sub-Riemannian manifolds using QCD, offering novel quantitative estimates for Poincaré and log-Sobolev inequalities with applications to Heisenberg groups.
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12 Lesons
44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

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Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.
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24 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Mathematical Union

Gabriella Tarantello- On a Donaldson Functional for CMC-Immersions of Surfaces into Hyperbolic

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Explore CMC-immersions of surfaces into hyperbolic spaces through a Donaldson functional approach, presented by mathematician Gabriella Tarantello.
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1 Lesons
46 minutes
On-Demand
Free-Video
International Mathematical Union

Entropy in Mean Curvature Flow

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Explore entropy in hypersurfaces and its role in mean curvature flow. Survey recent progress on conjectures about sharp lower bounds and extensions in geometric complexity.
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1 Lesons
43 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure III

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Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure II

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Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics and Symmetry of Ancient Convex Mean Curvature Flows - Lecture 5

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Explore dynamics and symmetry of ancient convex mean curvature flows in this advanced mathematics lecture by Sigurd Angenent from the University of Wisconsin-Madison.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 4

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Explore advanced mathematical concepts in phase-field models and their application to motion by mean curvature, presented by a renowned expert from the University of Chicago.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
ICTP Mathematics

Motion by Curvature of Networks in the Plane - Lecture 3

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Explore advanced concepts in geometric analysis, focusing on motion by curvature of planar networks. Delve into complex mathematical theories and their applications in this specialized lecture.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 2

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Explore singularities in mean curvature flow of convex hypersurfaces, focusing on advanced mathematical concepts and their implications in geometric analysis.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
ICTP Mathematics

Monotonicity Formulae and Non-Collapsing Estimates for Mean Curvature Flow with Applications - Lecture 2

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Explore monotonicity formulae and non-collapsing estimates in mean curvature flow, with insights on their applications and implications for geometric analysis.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
ICTP Mathematics

Rationality and Volume Growth in the Polynomial Range - M. Duchin

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Explore polynomial volume growth in geometric group theory, focusing on rationality and its implications for group structure and dynamics.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
ICTP Mathematics

Unique Equilibrium States for Geodesic Flows in Nonpositive Curvature - Keith Burns

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Explore geodesic flows in nonpositive curvature and their unique equilibrium states with mathematician Keith Burns in this advanced mathematics lecture.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Math Associates Seminar- Bubbling of Q-Curvature Equation on 4-Manifolds in the Null Case

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Explore the Q-curvature equation on 4-manifolds, focusing on solution behavior as ε approaches zero. Gain insights into the Paneitz operator and sign-changing functions in mathematical analysis.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Second Order Conformally Invariant Elliptic Equations - Lecture 4

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Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.
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1 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 3

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Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
ICTP Mathematics

Geometric and Multilinear Problems in Analysis

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Explore key geometric problems in analysis, their multilinear approaches, and interdisciplinary connections. Gain insights into harmonic, nonlinear, functional, and discrete analysis.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

Descriptive Geometry of Function Spaces

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Explore the intricate world of function spaces and their descriptive geometry in this advanced mathematical lecture by Shmuel Weinberger, part of the Hausdorff Trimester Program.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Meromorphic Vector Bundles on the Fargues-Fontaine Curve

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Explore meromorphic vector bundles on the Fargues-Fontaine curve and their role in connecting p-adic and perfect geometry approaches to the local Langlands correspondence conjecture.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Insights into Mathematics

Lines and Parabolas - Quadratic Polynomials and Geometric Relations

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Explore advanced parabola concepts: algebraic calculus, subderivatives, tangent lines, Taylor expansions, and geometric relations. Learn to analyze and graph parabolas using completing the square method.
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9 Lesons
38 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Limit Theorems for the Volumes of Small Codimensional Random Sections of Lpn-Balls

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Explore central limit theorems for volumes of random sections in high-dimensional geometry, with insights on open questions and recent research developments.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

MM-Estimates, Regular M-Ellipsoids and Distances Between Convex Bodies

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Explores convex bodies in n-dimensional space, focusing on mean width, MM* estimates, and their relation to covering efficiency and distances between convex bodies. Discusses symmetric vs non-symmetric cases.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Fields Institute

Mechanism Synthesis and Applied Enumerative Geometry

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Explore applied enumerative geometry in mechanism synthesis, uncovering innovative approaches to design and optimize mechanical systems for various engineering applications.
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1 Lesons
47 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Kato Meets Bakry-Émery: Curvature Conditions in Riemannian Geometry

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Explore the relationship between Bakry-Émery curvature-dimension and Kato condition on Ricci curvature, uncovering insights on Kato limit spaces and Riemannian manifolds.
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1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integral Varadhan Formula for Nonlinear Heat Flow on Measured Finsler Manifolds

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Explore integral Varadhan formula for nonlinear heat flow on measured Finsler manifolds, examining particle probability and distance relationships in geometric analysis.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A New Approach to the Hot Spots Conjecture

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Explore a novel approach to the hot spots conjecture in mathematics, focusing on eigenvalues of Neumann and Dirichlet Laplacians and recent advances in the field.
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1 Lesons
28 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Variational Theory for Harmonic Maps and Applications - Lecture 1

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Explore variational theory for harmonic maps and its applications in this advanced mathematical lecture by Daniel Stern.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Variational Theory for Harmonic Maps and Applications - Lecture 2

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Explore advanced variational theory for harmonic maps and its applications in geometric analysis through this in-depth mathematical lecture.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
NCCR SwissMAP

Ruelle Taylor Resonances for Higher Rank Anosov Actions

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Explore analytic techniques in dynamics and geometry, focusing on Ruelle Taylor resonances for higher rank Anosov actions.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
NCCR SwissMAP

Zeta Functions for Anosov Diffeomorphisms, Flows and Actions

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Explore analytic techniques in dynamics and geometry, focusing on zeta functions for Anosov diffeomorphisms, flows, and actions.
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1 Lesons
56 minutes
On-Demand
Free-Video
NCCR SwissMAP

Chiral Anomaly, Topological Field Theory and Topological States of Matter

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Explore geometric and analytic aspects of the Quantum Hall effect, delving into chiral anomaly, topological field theory, and topological states of matter.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sobolev Homeomorphic Extensions in Geometric Analysis and Nonlinear Elasticity

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Explore Sobolev homeomorphic extensions in geometric analysis, focusing on boundary map properties and their implications for nonlinear elasticity and higher-dimensional problems.
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1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

De Rham Algebras of Closed Quasiregularly Elliptic Manifolds are Euclidean

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Explore quasiregular mappings and de Rham cohomology in closed manifolds, leading to a homeomorphic classification of certain 4-manifolds.
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1 Lesons
35 minutes
On-Demand
Free-Video
Conference GSI

A Product Shape Manifold Approach for Optimizing Piecewise Smooth Shapes

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Explore innovative techniques for optimizing piecewise smooth shapes using a product shape manifold approach.
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1 Lesons
20 minutes
On-Demand
Free-Video
Conference GSI

Temporal Alignment of Human Motion Data - A Geometric Point of View

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Explore geometric approaches to temporally align human motion data, focusing on innovative techniques and their applications in motion analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
NCCR SwissMAP

Exponential Mixing of Frame Flows for Geometrically Finite Hyperbolic Manifolds

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Explore exponential mixing of frame flows in geometrically finite hyperbolic manifolds through advanced analytic techniques in dynamics and geometry.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Spherical Plateau Problem and Applications in Geometric Analysis

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Explore area minimization in Hilbert sphere quotients, entropy inequality, and stability results for Riemannian surfaces, with applications to hyperbolic geometry and eigenvalue bounds.
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14 Lesons
1 hour
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4, Part 3

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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.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3 Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3 Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag in this advanced mathematics lecture.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Smoothing by Ricci-DeTurck Flow and Applications to Scalar Curvature

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Explore Ricci-DeTurck flow's existence theory for non-smooth initial metrics and its applications to scalar curvature rigidity problems in geometry.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Conjugate Points and the MC Criterion in Volume-Preserving Diffeomorphisms - Lecture

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Explore conjugate points on volume-preserving diffeomorphisms, focusing on the MC criterion and its applications in fluid dynamics and Riemannian geometry.
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10 Lesons
44 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometric Laplacians on Self-Conformal Fractal Curves in the Plane

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Explore geometric Laplacians on self-conformal fractal curves, examining heat kernels, eigenvalue asymptotics, and their relation to fractal geometry. Delve into construction methods and applications in complex analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video
Banach Center

Geometric Aspects of the Planar Least Gradient Problem

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Explore geometric aspects of the planar least gradient problem, delving into mathematical concepts and analytical techniques.
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1 Lesons
41 minutes
On-Demand
Free-Video
Banach Center

Distance, Curvature and Symmetry - A Haphazard Tour Through Metric Geometry

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Explore metric geometry through distance, curvature, and symmetry concepts, gaining insights into fundamental mathematical principles and their applications in spatial analysis.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Twisted Ruelle Zeta Function on Locally Symmetric Spaces - Fried's Conjecture and Applications

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Explore Twisted Ruelle zeta functions, Fried's conjecture, and applications in locally symmetric spaces. Gain insights into spectral geometry and refined analytic torsion.
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8 Lesons
44 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Excursion into Mean Curvature Flow

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Explore mean curvature flow's regularity theory, focusing on distinctions between one-dimensional and higher-dimensional flows in this geometric analysis lecture.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Complexity of Submanifolds and Colding-Minicozzi Entropy

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Explore Colding-Minicozzi entropy's role in analyzing submanifold complexity and its applications to mean curvature flow singularities and hypersurface simplicity.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Riesz Inequality for Polygons: Symmetry and Symmetry Breaking

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Explore counterparts of Hardy-Littlewood and Riesz inequalities for polygons, examining symmetry and symmetry breaking in nonlocal isoperimetric problems.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Eigenvalues and Minimal Surfaces

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Explore Laplace operator eigenvalues, their physical significance, and connection to minimal surfaces. Discover recent findings in isoperimetric eigenvalue problems for Riemannian surfaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Parametric Geometric Inequalities and Weyl Law for the Volume Spectrum

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Explore parametric geometric inequalities and their connection to the volume spectrum, examining proofs, applications, and implications for minimal surfaces and stationary geodesic nets.
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1 Lesons
58 minutes
On-Demand
Free-Video
BIMSA

Around the Alexandrov-Fenchel Inequality - Convex Geometry and Its Applications

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Explore the history and recent progress in convex geometry, focusing on Minkowski's theory and its connections to various mathematical disciplines.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Integrable Billiards and Rigidity - Lecture 1

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Explore integrable billiards and the Birkhoff-Poritsky conjecture, focusing on Hopf-type rigidity and its extension to Twist symplectic maps and billiards.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
BIMSA

Minimal Surfaces and the Allen-Cahn Equation on 3-Manifolds

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Explore minimal surfaces and the Allen–Cahn equation on 3-manifolds, focusing on recent results and the multiplicity-one theorem in three dimensions.
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1 Lesons
52 minutes
On-Demand
Free-Video
BIMSA

Geometric Analysis of Phase Retrieval

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Explore geometric analysis of phase retrieval, examining nonconvex heuristics and proving benign geometric structure for efficient signal recovery using iterative optimization methods.
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1 Lesons
52 minutes
On-Demand
Free-Video
BIMSA

The Singular Set of Stable Minimal Hypersurfaces

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Explore stable minimal hypersurfaces, their singularities, and recent findings on constructing metrics with specific singular sets in higher dimensions.
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1 Lesons
49 minutes
On-Demand
Free-Video
BIMSA

Optimal Estimates for Neumann Eigenvalues

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Explore optimal estimates for Neumann eigenvalues, including award-winning research on maximizing second eigenvalues and recent findings on convex set bounds.
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1 Lesons
50 minutes
On-Demand
Free-Video
BIMSA

Generic Dynamics of the Mean Curvature Flows

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Explore generic dynamics of mean curvature flows, including perturbation of shrinkers and isolatedness of cylindrical singularities in hypersurface evolution.
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1 Lesons
47 minutes
On-Demand
Free-Video
BIMSA

Recent Progress on Self-Expanders of Mean Curvature Flow and Applications

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Explore recent advancements in self-expanders of mean curvature flow, their role in modeling singularities, and applications in geometric analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BIMSA

Summation for Two Sets in Hyperbolic Space - ICBS 2024

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Explore hyperbolic summation and its application in developing Brunn-Minkowski theory for hyperbolic space geometry, extending classical Euclidean concepts.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Stability and Chaos in Dynamical Last Passage Percolation

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Explore stability and chaos in dynamical last passage percolation, examining energy landscapes, ground states, and the transition from stability to chaos using probabilistic and geometric techniques.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Capacity in Low Regularity with Connections to General Relativity

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Explore capacity in metric spaces, its behavior under convergence, and connections to general relativity's total mass concept.
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1 Lesons
59 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Geometry of Shock Formation and Maximal Development for Euler

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Explore the geometry of shock formation and maximal development in Euler equations, focusing on fluid flow analysis and honoring David Ebin's contributions.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Stability of Twisting of Hamiltonian Flows and Applications

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Explore Hamiltonian flow stability, twisting phenomena, and their applications in fluid dynamics with insights from Duke University researcher Tarek Elgindi.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ICTP-SAIFR

Coral Halo Patterns - Geometry and Consumer-Resource Interactions

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Explore coral halo patterns, examining geometry and consumer-resource interactions in marine ecosystems. Gain insights from Theresa Ong's research on ecological dynamics.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
NCCR SwissMAP

Anisotropic Quantum Hall Droplets - Geometric and Analytic Aspects

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Explore geometric and analytic aspects of the Quantum Hall effect, focusing on anisotropic quantum Hall droplets.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
NCCR SwissMAP

Integer Quantum Hall Effect on Complex Manifolds - A Probabilistic View

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Explore geometric and analytic aspects of the Quantum Hall effect on complex manifolds through a probabilistic lens. Gain insights into advanced quantum physics concepts.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Alan Turing Institute

Alan Turing and the Other Theory of Computing and Can a Machine Be Conscious?

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Explore Turing's lesser-known 1948 paper on numerical computation and its impact on complexity theory. Discover how it unifies two major traditions in computational theory.
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22 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Flows of G2 Structures

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Explore the mathematical intricacies of G2 structures and their flows in this advanced geometric analysis colloquium by Spiro Karigiannis from the University of Waterloo.
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1 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

Colding-Minicozzi Entropy in Cartan-Hadamard Spaces

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Explore Colding-Minicozzi entropy in Cartan-Hadamard spaces, delving into advanced geometric analysis concepts with insights from Jacob Bernstein of Johns Hopkins University.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Classification of Bubble-Sheet Ovals in ℝ4

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Explore the geometric analysis of bubble-sheet ovals in four-dimensional space, delving into their classification and properties.
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1 Lesons
48 minutes
On-Demand
Free-Video
Data Science Conference

Towards the Universal Law of Robustness for Deep Neural Networks

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Explore fundamental developments in neural network robustness, focusing on overparametrized models and the BLN Conjecture through geometric visualization and practical applications.
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1 Lesons
28 minutes
On-Demand
Free-Video
Conference GSI

Souriau's Geometric Principles for Quantum Mechanics

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Explore geometric principles bridging classical and quantum mechanics, examining symmetries, Planck's constant, and prequantization to determine quantum states through inequalities.
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1 Lesons
21 minutes
On-Demand
Free-Video
Conference GSI

Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree

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Explore types of stickiness in BHV phylogenetic tree spaces and their degree, delving into advanced concepts in computational biology and evolutionary analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Geometric Dichotomy for the Discrete Hilbert Transform

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Delve into geometric analysis of finite Hilbert transforms, exploring their norm growth rates and connections to Banach space parameters, martingale type, and Rademacher type.
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1 Lesons
52 minutes
On-Demand
Free-Video