Noncommutative Geometry Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Scalar Quantum Fields on 4-Dimensional Noncommutative Geometry

Explore milestones in renormalisable and solvable scalar QFT models on 4D noncommutative geometry, reflecting on a 25-year collaboration.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Fields Institute

Tangent Groupoid in Noncommutative Geometry - Lecture 14

Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

BIMSA

Noncommutative Geometry of PGL(2,Cp) and KMS States

Explore noncommutative geometry on the Berkovich projective line, focusing on representation theory of groups acting on R-trees and the construction of cross-product C*-algebras and KMS states.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Global Noncommutative Geometry Seminar

Noncommutative Geometry on the Berkovich Projective Line

Explore noncommutative geometry applications on the Berkovich projective line through Damien Tegeddine's mathematical seminar presentation.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Banach Center

Noncommutative Metric Geometry

Explore fundamental concepts of noncommutative metric geometry and its mathematical applications through advanced theoretical frameworks and analytical approaches.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

BIMSA

Noncommutative Geometry and Semiclassical Analysis - Applications in Contact and Sub-Riemannian Geometry

Explore bridges between semiclassical analysis and noncommutative geometry, with applications to contact and sub-Riemannian geometry including Weyl's laws.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

BIMSA

Noncommutative Geometry and Semiclassical Analysis on Quantum Tori

Explore semiclassical Weyl's law on quantum tori and noncommutative geometry, covering spectral asymptotics for pseudodifferential operators and curved quantum spaces.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

BIMSA

Spectral Asymptotics of Pseudodifferential Operators with Application to Noncommutative Geometry

Explore spectral asymptotics of pseudodifferential operators and their applications to noncommutative geometry in this advanced mathematical presentation.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

The Gauss-Manin Connection in Noncommutative Geometry

Explore the Gauss-Manin connection in noncommutative geometry, where varieties become associative rings and De Rham cohomology transforms into periodic cyclic complexes.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Galileo Galilei Institute

Noncommutative Geometry of Quantum Flag Manifolds

Explore noncommutative geometry and quantum flag manifolds in this advanced mathematics lecture, delving into complex algebraic structures and their applications.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Non-commutative Geometry and its Applications

Explore advanced mathematical concepts through expert lectures on non-commutative geometry, covering C*-algebras, spectral triples, quantum field theory, and applications to particle physics.

• YouTube
• 3 days 5 hours
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Motivic, Equivariant and Non-commutative Homotopy Theory - Summer School 2020

Explore advanced topics in motivic, equivariant homotopy theory and non-commutative geometry through expert lectures covering latest developments in mathematical foundations and applications.

• YouTube
• 1 day 9 hours 42 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Curvature of the Determinant Line Bundle for Noncommutative Tori

Explore differential geometry of curved noncommutative tori, including spectral invariants and curvature of determinant line bundle for Dirac operators on noncommutative two tori.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

IMSA

Quantum Toric Geometry II - Non-Commutative Geometric Invariant Theory

Explore quantum geometric invariant theory, extending classical GIT to non-commutative cases. Gain insights into cutting-edge research in quantum toric geometry.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Fields Institute

How Topological Recursion Organises Quantum Fields on Noncommutative Geometries

Explore how topological recursion structures quantum fields in noncommutative geometries, presented by Alexander Hock from the University of Oxford.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video