Banach Center Courses

Some Quantum Spaces Which Are Not Quantum Groups

Explore non-quantum group quantum spaces, delving into advanced mathematical concepts and their applications in quantum theory.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Algebraic Kirchberg-Phillips Problem and Twisted Katsura Algebras

Explore the Algebraic Kirchberg-Phillips problem and its connection to twisted Katsura algebras in this advanced mathematical lecture by Guillermo Cortiñas.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

The Generation Conjecture for Regular Graphs

Explore the generation conjecture for regular graphs, delving into mathematical concepts and theories presented by Søren Eilers from the University of Copenhagen.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

The Contravariant Functoriality of Graph Algebras

Explore contravariant functoriality in graph algebras, delving into advanced mathematical concepts and their applications in algebraic structures.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

The Covariant Functoriality of Graph Algebras

Explore covariant functoriality in graph algebras, delving into mathematical concepts and their applications in algebraic structures.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

A Lévy-Khintchine Formula for SUq(N)

Explore the Lévy-Khintchine formula for SUq(N) in quantum mathematics, delving into advanced concepts and their applications in mathematical physics.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Compact Quantum Surfaces - From Topless Operators to Nonorientable Structures

Explore compact quantum surfaces, from induction steps to nonorientable structures, with insights on topless operators and system extensions.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

C*-Bundles Containing the Effros-Shen Algebras

Explore C*-bundles containing Effros-Shen algebras, examining homeomorphisms, rational numbers, and continuous fractions in this advanced mathematical lecture.

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

Spilt Extensions and KK-Equivalences for Quantum Projective Spaces

Explore quantum projective spaces through split extensions and KK-equivalences, focusing on graph algebras, gauge actions, and complex projective lines.

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

CW Structures in Noncommutative Geometry

Explore noncommutative geometry through CW structures, covering commodity equivalence, CW complexes, and weak CW structures in this advanced mathematics lecture.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Conjugacy and Continuous Orbit Equivalence of Graphs

Explore graph dynamics, conjugacy, and continuous orbit equivalence. Delve into labeling, groupoids, topology, and flow equivalence in this advanced mathematical lecture.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

The K-Distribution of Random Graph C*-Algebras

Explore the K-distribution of random graph C*-algebras, delving into advanced mathematical concepts and their applications in algebraic structures.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Geometric Aspects of the Planar Least Gradient Problem

Explore geometric aspects of the planar least gradient problem, delving into mathematical concepts and analytical techniques.

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

Singularities of Minimizing Harmonic Maps

Explore singularities of minimizing harmonic maps, delving into mathematical concepts and theories with expert insights from Michał Miśkiewicz.

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

Spectral Gaps vs the Baum-Connes Conjecture

Explore the relationship between spectral gaps and the Baum-Connes conjecture in mathematics, delving into advanced concepts in functional analysis and topology.

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