International Centre for Theoretical Sciences Courses

Closure of Orbits of the Pure Mapping Class Group on the Character

Explore the closure of orbits in pure mapping class groups on character varieties, delving into Zariski dense subgroups and their applications in geometry and number theory.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

From Representation Rigidity to Profinite Rigidity by Alan Reid

Explore rigidity concepts in group theory, from representation to profinite, with applications in geometry and number theory. Gain insights into Zariski-dense subgroups and their implications.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Introduction to Bruhat-Tits Theory - Lecture 1

Comprehensive introduction to Bruhat-Tits theory, exploring its foundations and applications in algebraic groups and number theory. Ideal for advanced mathematics students and researchers.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Random Character Varieties by Emmanuel Breuillard

Explore random character varieties in algebraic groups, focusing on Zariski-dense subgroups and their applications in geometry, topology, and number theory.

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

On Non-Commensurable Isospectral Locally Symmetric Spaces by C.S. Rajan

Explore non-commensurable isospectral locally symmetric spaces with C.S. Rajan. Delve into advanced mathematical concepts and their applications in geometry and number theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 1

Explore Zariski-dense subgroups, number theory, and geometric applications in this lecture on bounded generation of linear groups and Diophantine approximation.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Confined Active Matter by Sriram Ramaswamy

Explore the fascinating world of active matter in complex environments, from biofilaments to flying birds. Learn about cutting-edge research and fundamental concepts from renowned experts.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

The Extreme Physics of Zombie Stars by Nils Andersson

Explore the fascinating world of neutron stars, their extreme physics, and the challenges in understanding these 'zombie stars' through astrophysical observations and theoretical models.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Biomedical Text Mining I by Sudeshna Sarkar

Explore techniques for extracting valuable insights from biomedical literature using text mining methods. Learn to process and analyze scientific texts for research and clinical applications.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Cancer - Introduction and Clinical Challenges by Sudha Sundar

Comprehensive overview of cancer, exploring its clinical challenges and introducing potential applications of machine learning in oncology research and patient care.

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

Neutron Star Perturbation Theory - Lecture 3

Explore advanced concepts in neutron star perturbation theory, focusing on mathematical models and physical implications for compact object behavior and gravitational wave emissions.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

Understanding Tumour Responses to Radiotherapy Using Mathematical Models - Lecture 2

Explores mathematical modeling of tumor responses to radiotherapy, focusing on theoretical approaches to understand and predict treatment outcomes in cancer progression.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Mathematical and Computational Modelling to Explore Various Potential Cancer Treatments

Explore mathematical and computational modeling approaches for cancer research, covering topics from age-structured populations to machine learning techniques for understanding disease progression and treatment.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Arithmetic Groups of Higher Real Rank Are Not Left-orderable

Explore the non-left-orderability of arithmetic groups with higher real rank in this mathematical lecture, delving into advanced concepts in group theory and algebraic structures.

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

CSP and Unipotent Generators for Higher Rank Nonuniform Arithmetic Groups

Exploration of CSP and unipotent generators in higher rank nonuniform arithmetic groups, discussing recent advancements and applications in algebraic and differential geometry.

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