International Centre for Theoretical Sciences Courses

Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

Explores group rings, their structure, and units of integral group rings. Covers idempotents, invertible elements, augmentation mapping, and constructions of units including Bass and cyclotomic units.

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

Gamma Convergence - Lecture 2

Explore gamma convergence, minimization problems, and homogenization in this advanced mathematics lecture. Learn about coercivity, lower semicontinuity, and integral functions in the context of multi-scale analysis.

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

From Local to Global Holomorphic Peak Functions - Lecture 1

Explore holomorphic peak functions in complex analysis, from local to global perspectives. Gain insights into Cauchy-Riemann equations, L2-theory, and applications in higher-dimensional complex manifolds.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

The Monge-Ampère Equations and the Bergman Kernel - Lecture 1

Explore complex analysis in higher dimensions, focusing on Cauchy-Riemann equations, L2 theory, and applications to geometry. Learn about Bergman kernels and extension theorems in this advanced mathematics lecture.

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

The Beta to Omega Phase Transition - A Unique Example

Explore the unique beta to omega phase transition in metals, examining its mechanism, pre-transition effects, and recent high-resolution electron microscopy findings.

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

Topology, Correlations and Superconductivity in Magic Angle Graphene - Lecture 2

Explore topology, correlations, and superconductivity in magic angle graphene. Dive into band structures, symmetries, and experimental findings. Gain insights on flat bands, Landau levels, and correlated electron paradigms.

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

Approximating Profile Maximum Likelihood Efficiently - New Bounds on the Bethe Permanent by Moses Charikar

Explore symmetric distribution properties and efficient estimation techniques, focusing on profile maximum likelihood and its connections to the Bethe permanent in statistical physics.

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

The Sensitivity Conjecture: A Proof from the Book and Connections to Physics

Explore the elegant proof of the Sensitivity Conjecture, its implications for theoretical computer science, and connections to physics concepts like Majorana fermions.

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

Entanglement and Topology in Quantum Solids - Lecture 1

Explore quantum entanglement in solids, topological phases, and their applications. Learn about Weyl semimetals, magic angle graphene, and surface topological order from a leading expert.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

150 Years of Entropy by William Bialek

Explore the concept of entropy across physics, information theory, and technology with Princeton's William Bialek. Discover how this fundamental idea shapes our understanding of the universe and modern innovations.

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

Formation, Fueling, and Feedback from Supermassive Black Holes - Lecture 2

Explore supermassive black hole physics: formation, growth, and environmental impact. Covers accretion discs, AGN structure, jets, and scaling relations. Ideal for graduate students in astrophysics.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

Formation, Fueling, and Feedback from Supermassive Black Holes - Lecture 1

Explore the physics of supermassive black holes, from formation to accretion processes. Learn about observational evidence, modeling techniques, and key concepts in black hole astrophysics.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

Residual Intersections in Geometry and Algebra by David Eisenbud

Explore geometric questions from the 19th century, including tangent conics and space curves, leading to the theory of residual intersections in geometry and algebra. Open problems discussed.

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

Active Processes in Cells and Tissues - Phase Separation in Active Systems - Lecture 2

Explore phase separation in active cellular systems, focusing on droplet physics, centrosome dynamics, and RNA-protein assemblies. Learn how these processes drive cellular organization and morphogenesis.

• YouTube
• 1 hour 46 minutes
• Self-Paced
• Free Video

Active Processes in Cells and Tissues - Symmetry Breaking of Biological Cells - Lecture 1

Explore cellular dynamics, symmetry breaking, and active processes in living systems. Discover how energy-driven mechanisms shape biological patterns and morphologies at cellular and tissue levels.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video