Hausdorff Center for Mathematics Courses

Dormancy Phenomena in Cancer Progression

1 review

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
• On-Demand
• Free Video

Harmonic Analysis and Analytic Number Theory

1 review

Explore advanced polynomial methods, determinant techniques, and Fourier analysis in harmonic analysis and analytic number theory through expert lectures.

• YouTube
• 23 hours 52 minutes
• On-Demand
• Free Video

James Newton - Automorphy Lifting

Explore advanced concepts in automorphy lifting theory, building on previous knowledge to deepen understanding of this complex mathematical topic.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Eva Viehmann - Shtukas

Explore advanced concepts in algebraic geometry with a focus on Shtukas, delving into their properties and applications in number theory and representation theory.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Arthur-César le Bras - p-adic Geometry - Vector Bundles on the FarguesFontaine Curve

Explore vector bundles on the Fargues-Fontaine curve in p-adic geometry, delving into advanced mathematical concepts and their applications.

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

Categorical Local Langlands

Explore advanced concepts in categorical local Langlands theory, building upon previous foundations and delving into complex mathematical structures and relationships.

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

P-adic Geometry - Topologies, Diamonds and the Fargues-Fontaine Curve

Explore advanced p-adic geometry concepts, including topologies, diamonds, and the Fargues-Fontaine curve in this in-depth mathematical lecture.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

George Boxer-p-adic Automorphic Forms

Explore p-adic automorphic forms and their applications in number theory with expert George Boxer. Gain insights into advanced mathematical concepts and cutting-edge research in this field.

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

Patrick Allen - Automorphy Lifting

Explore automorphy lifting theorems and their applications in number theory, focusing on key concepts and recent developments in the field.

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

Cong Xue Shtukas, 1

Explore advanced mathematical concepts in Cong Xue Shtukas, delving into complex theories and applications within this specialized field of study.

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

Judith Ludwig - p-adic Geometry - Adic and Perfectoid Spaces

Explore adic and perfectoid spaces in p-adic geometry, delving into advanced mathematical concepts and their applications in modern algebraic geometry.

• YouTube
• 1 hour 21 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video