Banach Spaces Courses and Certifications

Hausdorff Center for Mathematics

Functional Inequalities in Metric Geometry - Part II

Explore discrete functional inequalities as invariants for bi-Lipschitz embeddings, examining nonlinear type/cotype, convexity, and spectral gap to deduce nonembeddability results for various graphs.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Fixed Point Theorem for Isometries of Metric Spaces

Explore a new fixed point theorem for isometric maps of metric spaces with weak convex bicombing, applicable to various mathematical spaces and offering novel applications.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Constraint Qualification and the Existence of Multipliers for Nonconvex Infinite-Dimensional Optimization Problems

Explore constraint qualifications and Lagrange multipliers for infinite-constrained optimization problems in Banach spaces, focusing on non-surjective derivative cases.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Plans, Derivations, and Currents in Metric Measure Spaces

Explore novel proofs and techniques in metric p-Sobolev spaces, connecting plans, derivations, and currents in metric measure spaces. Gain insights into advanced mathematical concepts.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Dublin Institute for Advanced Studies DIAS

A Simple Axiom for Euclidean Quantum Field Theory

Explore a concise mathematical definition of quantum field theory and its implications for physics through a categorical approach to Riemannian manifolds and Hilbert spaces.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

H-Infinity Calculus and Square Functions on Banach Spaces

Explore $H^{\infty}$-calculus and square functions on Banach spaces in this advanced mathematical conference talk, delving into harmonic analysis techniques for elliptic operators.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

The Norm of the Backward Shift Operator on H^1 is 2/√3

Explore the norm of the backward shift operator on H^1, proven to be 2/√3, in this mathematical conference talk by Kristian Seip at CIRM.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Vector-Valued Concentration on the Symmetric Group

Explore vector-valued concentration inequalities for the symmetric group, examining implications for Banach space geometry and building on recent advancements in discrete hypercube analysis.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Functional Inequalities in Metric Geometry - Lecture 4

Explore discrete functional inequalities as invariants for bi-Lipschitz embeddings, examining nonlinear type/cotype, convexity, and spectral gap to deduce nonembeddability results for various graphs.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Banach Center

Classification and Structure

Explore classification and structure in mathematics with insights from Søren Eilers of the University of Copenhagen. Gain a deeper understanding of these fundamental concepts.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

New Isoperimetric Inequalities and Their Applications to Systolic Geometry and Minimal Surfaces

Explore new isoperimetric inequalities for k-dimensional submanifolds, their applications to systolic geometry, and implications for minimal submanifolds in this mathematical colloquium.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 3

Explore advanced techniques for establishing uniform bounds in multilinear singular integrals, building on previous discussions and delving into complex mathematical concepts.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 4

Explore advanced mathematical concepts in multilinear singular integrals, focusing on uniform bounds and their applications in complex analysis and harmonic analysis.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 2

Explore advanced techniques for establishing uniform bounds on multilinear singular integrals, building upon previous concepts and delving into complex mathematical analysis.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Banach Center

Pointwise Convergence Problems in Ergodic Theory and Analysis - Part 1

Explore pointwise convergence in ergodic theory and analysis with Mariusz Mirek from Rutgers University. Gain insights into fundamental concepts and applications.

• YouTube
• 1 hour
• On-Demand
• Free Video