Graph Theory Courses

Fields Institute

Trustworthy Virtual Brain Twins - From Theory to Clinical Applications

Discover how virtual brain twins bridge theoretical neuroscience with clinical practice for trustworthy medical applications.

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

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 3 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, covering vanishing cycles, shifted symplectic geometry, and wall-crossing formulas for Calabi-Yau threefolds.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 2 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, focusing on perverse sheaves and critical loci of functions on Calabi-Yau threefold moduli spaces.

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

Institute for Pure & Applied Mathematics (IPAM)

Bridging Scales in Materials Modeling with Atomistic Simulations, Information Theory, and Generative Models

Explore advanced techniques for bridging scales in materials modeling using atomistic simulations, information theory, and generative models in electrochemical systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Algorithmic Differentiation for Plane-Wave Density Functional Theory

Discover algorithmic differentiation techniques for plane-wave density-functional theory, combining AD and DFPT for material inverse design and uncertainty propagation.

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

Institute for Pure & Applied Mathematics (IPAM)

Unified Quantum Theory of Electrochemical Kinetics by Coupled Ion-Electron Transfer

Explore a groundbreaking quantum theory unifying electrochemical kinetics through coupled ion-electron transfer, bridging quantum chemistry with battery and electrocatalysis applications.

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

NPTEL-NOC IITM

Covariance vs Invariance Principles - Metric as a Dynamical Variable in General Coordinate Invariant Theory

Explore the fundamental distinction between covariance and invariance principles in general relativity, examining how metrics function as dynamical variables.

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

Harvard CMSA

Tropicalized Quantum Field Theory

Discover a revolutionary approach to quantum field theory computations using tropicalization, enabling polynomial-time algorithms for previously intractable perturbative calculations.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Towards a Geometric Theory of Deep Learning

Explore the mathematical foundations of deep learning through geometric theory, revealing connections to minimal surfaces, invariant theory, and random matrix theory via deep linear networks.

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

Institute for Advanced Study

Hecke Algebras Via Morse Theory of Loop Spaces

Explore advanced symplectic geometry through Morse theory applications to loop spaces and higher-dimensional Heegaard Floer homology computations.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Valence Labs

Transformers Discover Molecular Structure Without Graph Priors

Discover how Transformers can learn molecular structure from Cartesian coordinates without graph priors, challenging GNN dominance in molecular machine learning and drug discovery.

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

Hausdorff Center for Mathematics

Applications of O-Minimality to Computational Problems in Dynamical Systems Theory

Explore o-minimality applications to solve computational problems in dynamical systems, including the Skolem Problem and orbit verification for linear recurrence sequences.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Random Walk Theory in Physics and Biology - Class 4

Explore random walk theory applications across physics and biological systems in this advanced theoretical physics lecture.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Noether Normalization Lemma and Important Results in Dimension Theory - Tutorial 2

Explore the Noether Normalization Lemma and key results in dimension theory through detailed mathematical proofs and applications.

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

BIMSA

Bootstrapping SU(3) Lattice Yang-Mills Theory

Explore advanced bootstrap methods for SU(3) lattice Yang-Mills theory in this specialized physics presentation from BIMSA's international conference.

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