Non-commutative Geometry Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Dynamics of Density Operators - 2025

Explore non-commutative optimal transport theory and quantum dynamics through expert lectures on density operators, Wasserstein distances, and gradient flows in quantum settings.

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

IMSA

Quantum Toric Geometry and Tame Geometry via Motivic Rings II

Explore the connection between quantum toric manifolds and tame geometry through Hodge number computations of LVM manifolds, providing insights for future research in non-commutative geometry.

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

IMSA

Quantum Toric Geometry and Tame Geometry via Motivic Rings I

Explore the connection between quantum toric manifolds and tame geometry through Hodge number computations of LVM manifolds, providing insights for future research in non-commutative geometry.

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

Hausdorff Center for Mathematics

Arend Bayer- Non-Commutative Abelian Surfaces and Generalised Kummer Varieties

Explore non-commutative abelian surfaces and generalized Kummer varieties, examining deformations of derived categories and their impact on moduli spaces of stable objects in algebraic geometry.

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

Banach Center

Compact Quantum Surfaces - Part 3

Explore advanced concepts of compact quantum surfaces, delving into complex mathematical theories and applications in quantum physics.

• YouTube
• 2 hours 14 minutes
• On-Demand
• Free Video

Banach Center

Compact Quantum Surfaces - Part II

Explore advanced concepts of compact quantum surfaces, delving into their properties and applications in mathematical physics.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Banach Center

Compact Quantum Surfaces - Part I

Explore compact quantum surfaces, delving into advanced mathematical concepts and theories with expert Elmar Wagner from Universidad Michoacana, Mexico.

• YouTube
• 2 hours 1 minute
• On-Demand
• Free Video

BIMSA

Schobers and Riemann-Hilbert Correspondence

Explore geometric representation theory, super groups, and non-commutative algebraic geometry with a focus on Schobers and Riemann-Hilbert correspondence.

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

Fields Institute

Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 2

Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken, part of a workshop on operator algebras and non-commutative geometry.

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

Fields Institute

On Atiyah Sequences of Braided Lie Algebras and Their Splittings

Explore Atiyah sequences of braided Lie algebras and their splittings in this advanced mathematics talk by Giovanni Landi, delving into non-commutative geometry and operator algebras.

• YouTube
• 48 minutes
• On-Demand
• Conference Talk

Fields Institute

Absolute Riemann-Roch for Q - Rings of S[μ_n]-polynomials

Explore advanced mathematical concepts in algebraic geometry and number theory, focusing on Riemann-Roch theorem applications and polynomial rings with roots of unity.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Conference Talk

Fields Institute

Quantitative Operator K-Theory, Positive Scalar Curvature and Filling Radius

Explore connections between quantitative operator K-theory, positive scalar curvature, and filling radius in this advanced mathematics talk by Guoliang Yu.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

Fields Institute

The Euler Operator and Minimal Dynamics

Explore the Euler operator's role in minimal dynamics, delving into advanced mathematical concepts and their applications in operator algebras and non-commutative geometry.

• YouTube
• 56 minutes
• On-Demand
• Conference Talk

Fields Institute

Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 3

Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken, part of a workshop on operator algebras and non-commutative geometry.

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

IMSA

Hodge Structures and Quantum Toric Geometry

Explore Quantum Toric Geometry and its impact on Hodge Theory generalizations in this advanced mathematics colloquium, featuring insights from collaborative research in non-commutative spaces.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video