International Centre for Theoretical Sciences Courses

Lyapunov Exponents, From the 1960's to the 2020's by Marcelo Viana

Explore the evolution of Lyapunov exponents in mathematics, from foundational concepts to recent developments, applications in smooth dynamics, and future directions in this comprehensive lecture.

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

Cosmic Collisions - Learning About Black Holes and Neutron Stars Using Gravitational Waves by Patrick Brady

Explore gravitational-wave astronomy, black hole and neutron star mergers, and their implications for understanding the universe. Learn about LIGO observations, merger rates, mass distributions, and multi-messenger astronomy.

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

Einstein's General Theory of Relativity - Lecture 7

Explore Einstein's General Theory of Relativity, from its historical context to key concepts like the principle of equivalence, gravitational redshift, and field equations. Gain insights into this revolutionary theory of gravity.

• YouTube
• 2 hours 23 minutes
• Self-Paced
• Free Video

Sequence Alignment - Hidden Markov Models, Category Theory and All That Jazz by Soumyashant Nayak

Explore sequence alignment methods, from traditional algorithms to modern pseudo-alignment techniques, with insights on hidden Markov models and applications in RNA-Seq data analysis and evolutionary genetics.

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

Big Data Meets Big Brother by Reetika Khera

Explore the controversial Aadhaar system's impact on welfare, privacy, and democracy in India. Uncover potential risks of digital ID projects and their implications for surveillance and data mining.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

How Well Do We Know Our Universe? by Jayant Narlikar

Explore the evolution of our understanding of the universe, from ancient ideas to modern cosmology, challenging current theories and advocating for alternative perspectives in astrophysics.

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

Nuclear Matter EOS Constraints from Gravitational Waves by Wolfgang Kastaun

Explore gravitational wave observations as a tool for understanding nuclear matter equation of state, focusing on measurable aspects, model-agnostic studies, and implications for neutron star properties.

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

LIGO-India - An Indian Mega-Science Adventure by Tarun Souradeep

Explore India's ambitious LIGO project for gravitational wave detection, covering its advantages, milestones, infrastructure, scientific collaboration, and future challenges in advancing astrophysics research.

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

Earth's Seasons: Earth's Tilt and Orbital Mechanics - Lecture 5

Explore Earth's climate dynamics, from orbital mechanics to monsoon systems, uncovering the intricate factors shaping our planet's seasons and long-term climate patterns.

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

Big Bang, Black Holes & Gravitational Waves by Abhay Ashtekar

Explore the fascinating history and paradigm shifts in cosmology, black holes, and gravitational waves. Gain insights into scientific progress and learn valuable lessons for aspiring researchers.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Stratification and Duality for Representations of Finite Groups - Lecture 4

Explore finite group representations through stratification and duality concepts. Delve into advanced algebraic techniques and their applications in modular representation theory.

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

Duality and Stratification in Commutative Algebra - Lecture 3

Explore duality and stratification in commutative algebra, focusing on derived categories, Grothendieck duality, and connections to algebraic topology and representation theory.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Boundary Problems for Incompressible Fluids by Senjo Shimizu

Exploration of free boundary problems in incompressible fluid dynamics, discussing mathematical approaches and recent developments in this complex area of fluid mechanics.

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

Stretch Factors of Graph Maps and Free Group Automorphisms by Radhika Gupta

Explore stretch factors in graph maps and free group automorphisms, delving into mathematical concepts and their applications in topology and group theory.

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

Compressible CFD - Two Different Approaches for Solving the Problem of the Flow

Explore two approaches for solving compressible flow problems in computational fluid dynamics, focusing on practical applications and advanced numerical techniques.

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