Noncommutative Geometry Courses and Certifications

Fields Institute

Tangent Groupoid in Noncommutative Geometry - Lecture 20

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

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

Fields Institute

Tangent Groupoid in Noncommutative Geometry - Lecture 21

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

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Fields Institute

Tangent Groupoid in Noncommutative Geometry - Lecture 22

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

• YouTube
• 1 hour 38 minutes
• On-Demand
• Free Video

Fields Institute

Tangent Groupoid in Noncommutative Geometry - Lecture 17

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

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

Fields Institute

From Rings of Operators to Noncommutative Geometry - Lecture 3

Explore the evolution from operator rings to noncommutative geometry with renowned mathematician Alain Connes, delving into advanced concepts in operator algebras and their applications.

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

Fields Institute

From Rings of Operators to Noncommutative Geometry - Lecture 1

Explore the evolution from rings of operators to noncommutative geometry with renowned mathematician Alain Connes in this insightful Fields Institute lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Fields Institute

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2

Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.

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

Hausdorff Center for Mathematics

Index Problem for Elliptic Operators Associated With Group Actions and NCG

Explore noncommutative geometry methods for solving index problems in elliptic operators associated with group actions, including pseudodifferential uniformization and applications to mathematical physics.

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

Hausdorff Center for Mathematics

Walter van Suijlekom- Noncommutative Spaces at Finite Resolution

Explore noncommutative spaces at finite resolution with Walter van Suijlekom, delving into advanced mathematical concepts and their applications in quantum physics and geometry.

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