Hausdorff Center for Mathematics Courses

Das Mädchen mit den Taschenrechnern

Entdecken Sie die faszinierende Verbindung zwischen Mathematik und Kunst in Prof. Zieglers Vortrag. Erfahren Sie, wie mathematische Konzepte weltberühmte Kunstwerke beeinflussen und inspirieren.

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

Dimension, Complexity and K Theory

Explore connections between dimension theory, complexity, and K-theory in mathematics, focusing on applications in topology and geometry. Gain insights into cutting-edge research in these interconnected fields.

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

Introduction to the Farrell Jones Conjecture - Part 1

Explore the Farrell Jones Conjecture's foundations and implications in algebraic topology, presented by renowned mathematician Wolfgang Lück in this comprehensive lecture.

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

The Weighted Energy Dissipation WED Principle for Gradient Flows

Explore advanced variational methods for gradient flows, focusing on the Weighted Energy Dissipation principle and its applications in metric spaces and optimal control problems.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Hydrodynamic Limits and Condensing Zero Range Processes

Explore hydrodynamic limits and condensing zero range processes in interacting particle systems. Learn about phase separation, relative entropy method, and non-closed hydrodynamic descriptions.

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

Entropy Techniques for Nonlinear Partial Differential Equations - A Few Examples

Explore entropy techniques for nonlinear PDEs, focusing on Fokker-Planck equations. Learn applications in polymeric fluids, molecular dynamics, and high-dimensional algorithms.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Variance Reduction in Random Homogenization - Special Quasirandom Structures

Explore variance reduction in random homogenization, focusing on special quasirandom structures. Learn about elliptic PDEs, homogenization techniques, and statistical error reduction in numerical approximations.

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

Aspects of the Bosonic Spectral Action

Explores noncommutative spectral geometry, its cosmological implications, scalar fields, and alternative definitions using zeta function regularization to address renormalizability and ultraviolet completeness.

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

Index Problem for Elliptic Operators Associated With Group Actions and NCG

Explore noncommutative geometry methods for solving index problems in elliptic operators associated with group actions, including pseudodifferential uniformization and applications to mathematical physics.

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

Comparing the Baum-Connes Conjecture and the Farrell-Jones Conjecture

Vergleich der Baum-Connes-Vermutung und der Farrell-Jones-Vermutung in der algebraischen und geometrischen Topologie, mit Fokus auf Gemeinsamkeiten und Unterschiede.

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

Spectral Truncations of Low-Dimensional Tori

Explore spectral truncations of low-dimensional tori, delving into advanced mathematical concepts and their applications in topology and geometry.

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

Rearrangement Lemma, Divided Differences & Multivariate Holomorphic Functional Calculus

Explore advanced mathematical concepts including rearrangement lemma, divided differences, and multivariate holomorphic functional calculus in this in-depth lecture.

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

The Monge-Ampere System - Convex Integration in Arbitrary Dimension and Codimension

Explore flexibility in weak solutions to the Monge-Ampere system via convex integration, covering isometric immersions and nonlinear elasticity with focus on Holder regularity in arbitrary dimensions.

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

Scott Balchin- The Local-to-Global Principle

Explore the local-to-global principle in tensor-triangulated categories, examining its role in object reconstruction and its connection to the Balmer spectrum's pointless topology.

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

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

Explore p-adic geometry through Riemann-Hilbert correspondence, covering perfectoid rings, prismatic cohomology, and sheaf theory in characteristic p and beyond.

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