Mathematics Courses and Certifications

Hausdorff Center for Mathematics

Peter Pivovarov- Random S-Concave Functions and Isoperimetry

Explore stochastic geometry of s-concave functions, local stochastic isoperimetry, and shadow systems. Discover functional inequalities and their applications in this advanced mathematical discussion.

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

Hausdorff Center for Mathematics

A Remark on the Minimal Dispersion

Explore improved upper bounds for minimal dispersion in unit cubes, with some results sharp to logarithmic factors. Gain insights into this mathematical concept.

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

Hausdorff Center for Mathematics

Mikhail Khovanov: Universal Construction in Ultra Low Dimensions

Explore the universal construction concept as a relaxation of TQFT axioms, with applications in one and two-dimensional spaces.

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

Hausdorff Center for Mathematics

Two Dimensional Topological Field Theories and Partial Fractions

Explore the connection between 2D topological field theories and sequences derived from surface evaluations, examining target category impacts on sequence occurrence.

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

Hausdorff Center for Mathematics

A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll Lecture 3

Explore geometric models for bounded derived categories of gentle algebras, their role in cluster algebras and homological mirror symmetry, and connections to partially wrapped Fukaya categories.

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

Hausdorff Center for Mathematics

Winter School JTP- Plumbings and Flops, Ivan Smith

Explore advanced concepts in symplectic topology, focusing on plumbings and flops. Gain insights into cutting-edge research and techniques in this specialized field of mathematics.

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

Hausdorff Center for Mathematics

How to Estimate P Variation

Explore efficient methods for estimating p-variation in metric spaces, with applications to martingales and enhanced paths. Learn techniques for quick computation and moment estimation.

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

Hausdorff Center for Mathematics

Erik Lindgren: Infinity-Harmonic Potentials in Convex Rings

Exploration of Infinity-Laplace equation solutions in planar convex rings, focusing on streamline behavior, bifurcation phenomena, and regularity issues, with detailed analysis of a punctured square case.

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

Hausdorff Center for Mathematics

Anton Freund- Bachmann Howard Fixed Points

Explores dilators, Bachmann-Howard fixed points, and their construction. Presents the equivalence between well-founded fixed points and ∏11-comprehension in mathematical logic.

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

Hausdorff Center for Mathematics

Michael Rathjen - Opening and Introduction

Explore the foundations of mathematics in this lecture on types, sets, and constructions, delving into fundamental concepts that shape our understanding of mathematical structures.

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

Hausdorff Center for Mathematics

Fluctuations in Stochastic Homogenization

Explore fluctuations in stochastic homogenization, focusing on the homogenization commutator and its role in driving path-wise fluctuations of key quantities in the field.

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

Hausdorff Center for Mathematics

New Stability Results for Sequences of Metric Measure Spaces With Uniform Ricci Bounds

Explore new stability results for metric measure spaces with uniform Ricci bounds, including applications to Cheeger's isoperimetric constants and an almost suspension theorem.

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

Hausdorff Center for Mathematics

Matthias Liero- On Entropy Transport Problems and the Hellinger Kantorovich Distance

Explores entropy-transport minimization problems, introducing the Hellinger-Kantorovich distance as an interpolation between Hellinger and Kantorovich-Wasserstein distances, with applications in dynamic processes involving mass creation/annihilation.

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

Hausdorff Center for Mathematics

Yoann Dabrowski- Free Entropy and a Laplace Principle for Hermitian Brownian Motion

Explores Voiculescu's free entropy, ultraproducts, continuous model theory, and free stochastic differential equations, with implications for Connes embedding conjecture.

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

Hausdorff Center for Mathematics

Hausdorff School - Introduction by Karl-Theodor Sturm

Innovative postdoctoral program in mathematics offering advanced studies and research opportunities at the Hausdorff Center, presented by coordinator Karl-Theodor Sturm.

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