International Centre for Theoretical Sciences Courses

Geometric Structures Associated to Anosov Representations - Lecture 1

Delve into geometric structures linked to Anosov representations in this first lecture by Sara Maloni, exploring advanced concepts in Teichmüller theory and their mathematical connections.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Best Lipschitz Maps

Delve into the mathematical exploration of Best Lipschitz Maps with Georgios Daskalopoulos, part of the "New trends in Teichmüller theory" program at ICTS.

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

Thurston's Best Lipschitz Maps: The Euclidean Case

Delve into Thurston's best Lipschitz maps in the Euclidean case with Athanase Papadopoulos, exploring advanced concepts in Teichmüller theory and their mathematical applications.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

The Earthquake Metric of Teichmüller Space - Lecture 3

Delve into the mathematical exploration of the Earthquake Metric in Teichmüller space with Ken'ichi Ohshika's third lecture in this advanced theoretical mathematics series.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

The Bending Laminations of Quasifuchsian Manifolds - Lecture 1

Delve into the mathematical exploration of bending laminations in quasifuchsian manifolds, examining recent developments in Teichmüller theory and its connections to hyperbolic geometry.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Finite Index Subgroups of Free Group and Residual Finiteness

Explore finite index subgroups of free groups and residual finiteness in this mathematical lecture, part of the "New trends in Teichmüller theory" program.

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

A Brief Introduction to Finsler Geometry

Dive into the fundamentals of Finsler Geometry with Bankteshwar Tiwari, exploring this mathematical field as part of the "New trends in Teichmüller theory" program at ICTS.

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

Thurston's Asymmetric Metric on Teichmüller Space and Induced Metrics - Lecture 2

Delve into Thurston's Asymmetric Metric on Teichmuller Space in this advanced mathematics lecture by Ken'ichi Ohshika, exploring recent developments in Teichmüller theory and its geometric applications.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Estimating the Distances Between Hyperbolic Structures in the Moduli Space

Delve into the mathematical exploration of distance estimation between hyperbolic structures in moduli space, part of the "New trends in Teichmüller theory" program.

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

Entropy Rigidity of Hitchin Representations - Lecture 2

Delve into the mathematical intricacies of Hitchin representations in this advanced lecture by Zhang Tengren, exploring entropy rigidity concepts within Teichmüller theory and its connections to geometric structures.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Isoperimetric Inequality for Disconnected Regions

Explore the isoperimetric inequality for disconnected regions in this lecture by Bidyut Sanki, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

The Geodesic Flow on Hyperbolic Surfaces - Part 2

Delve into the geodesic flow on hyperbolic surfaces in this advanced lecture by Ara Basmajian, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Combination Theorems, Bers Slices, and Holomorphic Correspondences

Delve into the mathematical world of Teichmüller theory, exploring combination theorems, Bers slices, and holomorphic correspondences in this advanced lecture by Mahan Mj.

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

Combination Theorems, Bers Slices, and Holomorphic Correspondences - Part 2

Delve into advanced Teichmüller theory concepts including combination theorems, Bers slices, and holomorphic correspondences in this mathematical exploration by Sabyasachi Mukherjee.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

The Geodesic Flow on Hyperbolic Surfaces - Lecture 1

Delve into the geodesic flow on hyperbolic surfaces in this lecture by Ara Basmajian, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video