Graph Theory Courses

ICTP-SAIFR

Theory of the Initial Conditions of Our Universe - Class 4

Explore advanced theoretical frameworks governing the initial conditions that shaped our universe's formation and early evolution.

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

Wrath of Math

Unique Solutions and the Basis Representation Theorem in Number Theory

Explore a viral math meme where a father rejects his son's creative solution, diving into number theory and the Basis Representation Theorem to prove uniqueness.

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

INI Seminar Room 2

Supervised Graph Prediction: From Kernel to Optimal Transport Losses

Explore supervised graph prediction with Prof. Florence d'Alché-Buc, covering kernel and optimal transport losses in this mathematical sciences seminar at the Isaac Newton Institute.

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

Hausdorff Center for Mathematics

Probabilistic Conformal Field Theory - Part 3

Delve into the probabilistic approach to Conformal Field Theory, exploring Liouville CFT, Wess-Zumino-Witten models, and their connections to Segal's geometric approach to conformal bootstrap in quantum physics.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Probabilistic Conformal Field Theory - Part 4

Delve into the probabilistic approach to Conformal Field Theory, exploring Liouville CFT and Wess-Zumino-Witten models, their mathematical foundations, and connections to Segal's geometric approach to conformal bootstrap.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Probabilistic Conformal Field Theory - Part 2

Delve into the probabilistic approach to Conformal Field Theory, exploring Liouville CFT and Wess-Zumino-Witten models as they relate to quantum gravity, random surfaces, and representation theory.

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

Hausdorff Center for Mathematics

Probabilistic Conformal Field Theory - Part 1

Delve into the probabilistic approach to Conformal Field Theories (CFT), exploring their mathematical foundations, connection to Segal's geometric approach, and applications in Liouville Quantum Gravity and Wess-Zumino-Witten models.

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

International Centre for Theoretical Sciences

Coding Theory: Error-Resilience via Judicious Redundancy

Discover the principles of error-correcting codes and their applications in digital communication, with insights into how mathematical redundancy enables reliable data transmission despite noise and interference.

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

Institute for Advanced Study

Morse Theory of Loop Spaces and Hecke Algebras

Delve into Morse Theory of Loop Spaces and Hecke Algebras with Roman Krutowski as he presents a Morse-theoretic model for computing HDHF A∞-algebra of cotangent bundles in symplectic geometry.

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

Harvard CMSA

Resurgence, Number Theory, and Quantum Mirror Curves

Delve into resurgence theory's application in quantum physics, exploring how non-perturbative data reveals number-theoretic properties in quantum mirror curves and toric Calabi-Yau threefolds.

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

Harvard CMSA

Integrability in Discrete Random Matrix Theory

Explore integrability in discrete random matrix theory, covering probabilistic results, Hall-Littlewood polynomial formulas, and new formulas for Hermitian and antisymmetric p-adic matrices with formal Hall-Littlewood processes.

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

Harvard CMSA

Unveiling the Classical Integrable Structure of Weak Noise Theory of KPZ Class

Delve into the classical integrable structure of weak noise theory in KPZ class, exploring the matrix Log-Gamma polymer and q-TASEP with Alexandre Krajenbrink.

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

Scott Paul Johnson

What is Music Theory? Why Learn it? - with Demonstration

Discover the fundamentals of music theory, from scales and intervals to chord progressions and voicings, with practical demonstrations on how different instruments approach the same musical concepts.

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

International Centre for Theoretical Sciences

Using Random Matrix Theory to Analyze Power Law Signatures in scRNA-seq Data

Explore how Random Matrix Theory can be applied to analyze power law signatures in single-cell RNA sequencing data in this talk from the 10th Indian Statistical Physics Community Meeting.

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

International Centre for Theoretical Sciences

Scaling Theory for the Collapse of a Trapped Bose Gas in a Synthetic Magnetic Field

Delve into the scaling theory for trapped Bose gas collapse in synthetic magnetic fields in this 11-minute talk from the 10th Indian Statistical Physics Community Meeting.

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