Hausdorff Center for Mathematics Courses

Dormancy Phenomena in Cancer Progression

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Explore dormancy mechanisms in cancer progression, their role in therapy resistance and metastasis, and mathematical models used to study these phenomena. Gain insights into open questions and potential research directions.

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

Equivariant Correspondences

Explore equivariant correspondences in mathematics with Kenny de Commer, delving into advanced concepts and their applications in various mathematical fields.

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

The Zappa-Szép Product of a Fell Bundle and a Groupoid

Explore the mathematical concept of Zappa-Szép products, focusing on their application to Fell bundles and groupoids. Gain insights into advanced algebraic structures and their properties.

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

Finiteness of Metrics on State Spaces

Explore finiteness of metrics on state spaces in this mathematical discussion, featuring joint research with Ryszard Nest on advanced topology concepts.

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

Dirac Operators Built from Quantum Riemannian Geometries

Explore quantum Riemannian geometries and their application in constructing Dirac operators, delving into advanced mathematical concepts at the intersection of quantum theory and geometry.

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

Groupoid Models for Groupoid Correspondences and C*-Algebras

Explore groupoid models for correspondences and C*-algebras, delving into advanced mathematical concepts and their applications in algebraic structures.

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

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
• Self-Paced
• Free Video

Crossed Products as Compact Quantum Metric Spaces

Explore quantum metric spaces through crossed products, delving into advanced mathematical concepts and their applications in quantum theory.

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

Factoriality of q-Araki-Woods von Neumann Algebras

Explore the factoriality of q-Araki-Woods von Neumann algebras with Manish Kumar, delving into advanced mathematical concepts and their applications in operator theory.

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

String Topology of Finite Groups of Lie Type

Explore string topology's role in understanding cohomology of finite Lie-type groups, connecting to loop spaces and algebraic geometry. Gain insights into recent developments in this mathematical field.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry

Explore p-adic geometry and the Riemann-Hilbert correspondence, covering perfectoid spaces, crystals, and spectral methods in this advanced mathematics lecture.

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

The Module Structure of a Group Action on a Ring

Explore finite group actions on graded algebras, examining module multiplicities and their connections to homological algebra and geometric group actions.

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

The Balmer Spectrum of Cellular C-Motivic Spectra

Exploration of the Balmer spectrum in cellular C-motivic spectra, focusing on its periodicity (co)sheaf and the C2 group action on formal groups through the [−1]-series.

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

An Introduction to Chromatic Homotopy Theory

Explore Morava K-theories, E-theories, and their role in chromatic homotopy theory. Delve into K(n)-local categories and the connection between E-theory and group cohomology.

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

Tensor Triangular Geometry - Lecture 1

Explore symmetric monoidal triangulated categories, their spectra, and analogies to algebraic geometry. Delve into challenges in compactly generated settings and tensor triangulated fields.

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