Invariant Theory Courses and Certifications

BIMSA

Derived Equivalences from Invariant Theory

Explore derived equivalences in algebraic geometry through invariant theory, focusing on homological algebra and category theory applications to study varieties with insights from physics and noncommutative algebra.

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

Institute for Advanced Study

Operator Scaling via Geodesically Convex Optimization, Invariant Theory and Polynomial Identity Testing - Yuanzhi Li

Explore geodesically convex optimization, invariant theory, and polynomial identity testing in this advanced seminar on operator scaling, featuring key theorems and proofs.

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

Simons Institute

Invariant Theory for Computer Scientists

Explore algebraic methods in computer science, focusing on invariant theory, graph isomorphism, and group actions. Learn about algorithms, moment polytopes, and open problems in the field.

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

Institute for Advanced Study

A Recent Perspective on Invariant Theory - Viswambhara Makam

Explore recent advancements in invariant theory, covering graph isomorphism, matrix invariants, and tensor factors. Gain insights into succinct encoding, upper bounds, and degree bounds in this mathematical field.

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

Fields Institute

Invariant Theory for Maximum Likelihood Estimation

Explore connections between maximum likelihood estimation and invariant theory stability in log-linear and Gaussian group models, with applications to statistical modeling.

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

Harvard CMSA

Invariant Theory for Maximum Likelihood Estimation

Explore the mathematical connections between invariant theory and maximum likelihood estimation, focusing on log-linear models, polytopes, and scaling algorithms in statistical analysis.

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

Fields Institute

Equivariant Learning Through Invariant Theory

Explore equivariant learning and its connection to invariant theory with Jeroen Lamb from Imperial College London in this symposium talk on machine learning and dynamical systems.

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

Ross Dynamics Lab

Stability of Periodic Orbits - Floquet Theory - Stable and Unstable Invariant Manifolds

Explore stability of periodic orbits using Floquet theory. Learn about monodromy matrices, Floquet multipliers, and invariant manifolds in Hamiltonian systems. Understand the foundations of chaos in dynamical systems.

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

IMSA

Quantum Toric Geometry II - Non-Commutative Geometric Invariant Theory

Explore quantum geometric invariant theory, extending classical GIT to non-commutative cases. Gain insights into cutting-edge research in quantum toric geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

Windows and Geometric Invariant Theory

Explore windows theory in algebraic geometry, its applications to GIT constructions, and its impact on derived categories and stability conditions in various mathematical contexts.

• YouTube
• 1 hour 11 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Harvard CMSA

Workshop on Nonlinear Algebra and Combinatorics from Physics

Explore cutting-edge connections between nonlinear algebra, combinatorics, and physics through expert talks on amplituhedra, Feynman integrals, and geometric structures.

• YouTube
• 10 hours 36 minutes
• On-Demand
• Free Video

Harvard CMSA

Noncommutative Analysis, Computational Complexity, and Quantum Information

Explore advanced mathematical concepts connecting noncommutative analysis, computational complexity, and quantum information through expert lectures on optimization and algebraic structures.

• YouTube
• 10 hours 42 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Panorama of Mathematics - Alexander Schrijver

Explore graph invariants and their connections to invariant theory in this insightful lecture by renowned mathematician Alexander Schrijver.

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

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 18

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties, with applications to superstring theory.

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