International Centre for Theoretical Sciences Courses

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

Fenchel-Nielsen Coordinates for SL(3,C) Representations of Surface - Lecture 2

Delve into Fenchel-Nielsen coordinates for SL(3,C) representations of surfaces in this advanced mathematical lecture by John R. Parker, exploring recent developments in Teichmüller theory.

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

On the Moduli Spaces of Generalized Cantor Sets

Delve into the moduli spaces of generalized Cantor sets in this advanced mathematical lecture by Hiroshige Shiga, part of the "New trends in Teichmüller theory" program.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Thurston's Asymmetric Metric on Teichmüller Space and Induced Metrics - Lecture 1

Delve into Thurston's asymmetric metric on Teichmüller space in this lecture by Ken'ichi Ohshika, part of a program exploring recent developments in Teichmüller theory and its connections to various mathematical fields.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Fenchel-Nielsen Coordinates for SL(3,C) Representations of Surface Groups - Lecture 1

Delve into Fenchel-Nielsen coordinates for SL(3,C) representations of surface groups in this advanced mathematical lecture by John R. Parker, exploring recent developments in Teichmüller theory.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Entropy Rigidity of Hitchin Representations - Lecture 2

Delve into advanced concepts of entropy rigidity in Hitchin representations with Zhang Tengren's second lecture, part of the "New trends in Teichmüller theory" program.

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

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
• Self-Paced
• Free Video

Dynamical Systems and Artificial Intelligence Applied to Data Modelling in Biological Problems - Lecture 2

Delve into the intersection of dynamical systems and AI for biological data modeling, focusing on birdsong production and vocal learning in this lecture by Gabriel Mindlin from the University of Buenos Aires.

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

Dynamical Systems and Artificial Intelligence Applied to Data Modelling in Biological Problems - Lecture 1

Explore the intersection of dynamical systems and AI in biological data modeling, focusing on birdsong production and vocal learning through this three-part lecture series by renowned physicist Gabriel Mindlin.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Three Puzzles from the First Billion Years

Explore three cosmic puzzles from the Universe's first billion years: the formation of first stars and galaxies, reionization of intergalactic medium, and emergence of supermassive black holes with astrophysicist Girish Kulkarni.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Moments of L-functions - Lecture 3

Delve into advanced analytic number theory with a focus on L-function moments, circle method applications, and their connections to rational points and prime number theory.

• YouTube
• 1 hour 45 minutes
• Self-Paced
• Free Video

Applied l-adic Cohomology - Lecture 2

Delve into advanced number theory concepts, exploring trace functions, l-adic cohomology, and their applications in modern analytic theory through examples from Weil, Grothendieck, and Deligne's work.

• YouTube
• 1 hour 57 minutes
• Self-Paced
• Free Video

Applied l-adic Cohomology - Lecture 1

Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through Gauss's congruence theory and its modern applications in analytic number theory.

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