Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Nijenhuis Geometry - Part II

Explore advanced concepts in Nijenhuis geometry, building on fundamental principles to deepen understanding of curvature and rigidity in mathematics.

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

Discrete Conformal Geometry of Polyhedral Surfaces - Part I

Explore discrete conformal geometry of polyhedral surfaces, focusing on curvature and rigidity concepts in non-Riemannian geometry.

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

Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part II

Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.

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

Nijenhuis Geometry - Part I

Explore Nijenhuis geometry with Vladimir Matveev in this advanced mathematics lecture, part of a thematic programme on geometry beyond Riemann.

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

Geometric Inequalities in Space of Nonpositive Curvature - Part I

Explore geometric inequalities in spaces of nonpositive curvature, focusing on advanced mathematical concepts and their applications.

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

Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part I

Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.

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

Curvature Tensors and Measures of Singular Spaces - Part I

Explore curvature tensors and measures of singular spaces in advanced geometry, focusing on concepts beyond Riemannian geometry.

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

Stationary Random Subgroups and Injectivity Radius of Hyperbolic Manifolds

Explore probabilistic methods in geometric problems, focusing on injectivity radius in hyperbolic manifolds and stationary actions of groups with large stabilizers.

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

Counting Limit Theorems for Representations of Gromov-Hyperbolic Groups

Explore limit theorems for Gromov-hyperbolic group representations, examining statistical results analogous to random matrix products theory for spherical averages in the S-metric.

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

The Quasi-Redirecting Boundary in Proper Metric Spaces

Explore a new boundary concept for proper metric spaces, examining its properties, relation to quasi-isometries, and connections to other boundary types in geometric group theory.

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

An Invitation to the Lifting Decomposition in CAT(0) Cube Complexes

Explore the lifting decomposition in CAT(0) cube complexes, its applications, and key properties. Gain insights into geometric and asymptotic group theory.

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

Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture

Explore embeddings of hyperbolic groups into finitely presented simple groups, addressing the Boone-Higman Conjecture and its implications for group theory and word problems.

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

Minimality of the Compact-Open Topology on Diffeomorphism and Homeomorphism Groups

Explore minimality of compact-open topology on diffeomorphism groups, its implications for homeomorphism groups, and connections to automatic continuity results.

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

Metric-Functional Boundary of Cayley Graphs

Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.

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

Ulam Stability of Thompson Groups

Explore Ulam stability of Thompson groups through asymptotic cohomology. Gain insights into this rigidity property for discrete groups and its application to groups F, T, and V.

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