Global Noncommutative Geometry Seminar Courses

Local Theta Correspondence via C*-Algebras of Groups

Explore local theta correspondence through C*-algebras of groups, delving into advanced mathematical concepts in noncommutative geometry.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Cyclic Structure Behind the Modular Gaussian Curvature

Explore the cyclic structure underlying modular Gaussian curvature in noncommutative geometry, delving into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

The Helffer-Nourrigat Conjecture - Hypoellipticity and Fredholmness of Polynomials of Vector Fields

Explore hypoellipticity and Fredholmness in vector field polynomials through the Helffer-Nourrigat Conjecture, advancing understanding in noncommutative geometry.

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

Index Pairing and Quantitative Control of Scalar Curvature

Explore index pairing and quantitative scalar curvature control in noncommutative geometry, focusing on direct operators, enlargibility, and metric space theory.

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

Equivariant Local Index Theory for Lie Groupoids

Explore equivariant local index theory for Lie groupoids, covering motivation, key concepts, and advanced mathematical techniques in noncommutative geometry.

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

Ample Groupoids, Topological Full Groups, Algebraic K-Theory Spectra and Infinite Loop Spaces

Explore ample groupoids, topological full groups, and their connections to algebraic K-theory spectra and infinite loop spaces in this advanced mathematics seminar.

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

Graded and Filtered K-Theory for Leavitt Path Algebras

Explore graded and filtered K-theory applications to Leavitt path algebras in this advanced mathematical seminar by Huanhuan Li.

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

Axion Insulators and Their Topological Invariants

Explore axion insulators and their topological invariants with Bernardo Uribe, delving into advanced concepts in noncommutative geometry and condensed matter physics.

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

Classification of Quantum Phases of Matter

Explore quantum phase classification, delving into noncommutative geometry and its applications in understanding complex quantum systems and their properties.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Coarse Baum-Connes Conjecture for Coarsely Embeddable Spaces

Explore the Coarse Baum–Connes conjecture for coarsely embeddable spaces through advanced noncommutative geometry techniques and mathematical proofs.

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

On the C*-algebra of Connes' Adele Class Space

Explore the mathematical foundations of Connes' adele class space C*-algebra in this advanced noncommutative geometry seminar presentation by Chris Bruce.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Cyclic Cocycles and One-Loop Corrections of the Spectral Action

Explore cyclic cocycles and one-loop corrections in spectral action, delving into advanced concepts of noncommutative geometry and quantum field theory.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Coarse Homotopy Theory and K-Theory

Explore coarse homotopy theory and K-theory with Ulrich Bunke, delving into advanced mathematical concepts in noncommutative geometry.

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

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