Teichmüller Spaces Courses and Certifications

Big Ideas In Dynamics

Thurston's Asymmetric Metric on Teichmüller Space Revisited

Explore Thurston's asymmetric metric on Teichmüller space and its generalizations to higher-rank Lie groups, examining geometric and dynamical invariants of hyperbolic structures.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Universal Teichmüller Space

Explore the mathematical concepts of Universal Teichmüller space through an advanced theoretical discussion of infinite-dimensional geometry and its applications.

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

Hausdorff Center for Mathematics

Teichmüller Space and the Segal Moduli Space - Talk 1, Part 1

Explore the fundamental connection between Teichmüller space and Segal moduli space through Riemann surface deformations and complex structure theory.

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

Hausdorff Center for Mathematics

Teichmüller Space and the Segal Moduli Space - Talk 1, Part 2

Explore the connection between Teichmüller space and Segal moduli space, focusing on Riemann surface deformations and their complex structure equivalences.

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

Hausdorff Center for Mathematics

Teichmüller Space and the Segal Moduli Space - Talk 2, Part 2

Explore the deep connection between Teichmüller space and Segal moduli space, revealing how these seemingly different mathematical structures are nearly identical up to completion and group action.

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

Hausdorff Center for Mathematics

Teichmüller Space and the Segal Moduli Space - Talk 2, Part 1

Explore the deep connection between Teichmüller space and Segal moduli space, uncovering how these mathematical structures relate through deformations of Riemann surfaces.

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

International Centre for Theoretical Sciences

Hyperbolic Surfaces and Their Teichmüller Spaces - Lecture 2

Explore hyperbolic surfaces, Teichmüller spaces, and surface group representations. Delve into geometric structures, developing maps, and holonomy representations in this advanced mathematics lecture.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

IMSA

Positivity and Higher Teichmüller Spaces

Explore positivity in Lie groups, positive representations, and their connected components. Delve into Hitchin's Teichmüller components and related open questions in higher Teichmüller theory.

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

Fields Institute

Infinite Riemann Surfaces - The Type Problem, Quadratic Differentials and Teichmüller Spaces

Explore the type problem for infinite Riemann surfaces, examining quadratic differentials and their connections to Teichmuller spaces in this advanced mathematical lecture.

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

IMSA

Geometric Recursion for Combinatorial Teichmüller Spaces and Applications

Explores geometric recursion in combinatorial Teichmüller spaces, covering Mirzakhani-McShane identity, Topological Recursion, and discrete versions, with applications to Witten-Kontsevich theorem and Norbury's polynomials.

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

Fields Institute

Cluster Algebra Structures from Decorated Super-Teichmüller Spaces

Explore cluster algebra structures derived from decorated super-Teichmüller spaces, examining dimer models and labels in the context of supergeometry and bracket structures.

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

Banach Center

A Beautiful World Beyond Hyperbolic Geometry - Anosov Representations and Higher Teichmüller Spaces

Explore advanced geometric concepts beyond hyperbolic geometry, delving into Anosov representations and higher Teichmüller spaces.

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

IMSA

Higgs Bundles and the Topology of Higher Teichmüller Spaces

Explore advanced mathematical concepts in topology, focusing on Higgs bundles and their role in understanding higher Teichmüller spaces for non-compact real Lie groups.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Canonical Bases for Moduli Spaces of Local Systems Related to Higher Teichmüller Theory

Delve into canonical bases for moduli spaces of local systems and their connection to Higher Teichmüller theory in this mathematical lecture by Hyun Kyu Kim.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video