Non-commutative Geometry Courses and Certifications

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
• On-Demand
• 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
• On-Demand
• Free Video

Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 3

Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 2

Explore non-commutative geometry concepts and applications in this advanced mathematics lecture, building on foundational principles to deepen understanding of complex algebraic structures.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 1

Explore non-commutative geometry with John Barrett, covering algebraic concepts, reconstruction theorems, and differential operators. Gain insights into fuzzy spaces and Hermitian operators.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

Banach Center

What is Non-Commutative Geometry?

Explore how quantum physics ideas merge with ordinary geometry to create non-commutative geometry, including quantum compact metric spaces and practical examples.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Quantum Gravity from Non-Commutative Geometry

Explore quantum spacetime modeling using finite spectral triples, including a non-commutative sphere model with non-trivial spinor bundles, presented by John Barrett at CIRM.

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

Institut des Hautes Etudes Scientifiques (IHES)

Non-Commutative Geometry Annual Meeting - Arbre de Noël du GDR Géométrie Non-Commutative

Explore cutting-edge research in non-commutative geometry through presentations by emerging and established mathematicians at this French research network's annual meeting.

• YouTube
• 9 hours 13 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures

Explore boundary conditions of bicolored maps, uncovering universal behaviors and new structures in map enumeration and random map models.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

One-Loop Renormalizability of the Spectral Action Using Cyclic Cocycles

Explore one-loop renormalizability of the spectral action principle using cyclic cocycles, uncovering its cyclic structure and connections to ribbon graphs in non-commutative geometry.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Functional Relations for Higher Order Free Cumulants and Moments

Explore functional relations between generating series of cumulants and moments in higher order free probability. Gain insights into matrix models and topological recursion.

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

IMSA

Non-commutative Deformation of Moduli Space of Flat Connections on Riemann Surfaces

Explore the mathematical foundations of quantum mechanics through formal deformations of functions on manifolds, focusing on flat connections on Riemann surfaces and Kontsevich's revolutionary framework.

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

Stony Brook Mathematics

Positivity, Representations, and Non-Commutative Hyperbolic Geometry

Explore total positivity in matrices, its generalization to split real Lie groups, and a new notion of positivity in flag varieties with applications to higher Teichmüller spaces.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

The Double Scaled SYK Model - Quantum Chaos and Non-Commutative Geometry

Explore quantum chaos and non-commutative geometry in the double scaled SYK model. Delve into advanced string theory concepts and their implications for spacetime and black hole information.

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