Explore the fundamental concepts of invariant theory and its applications in computer science through this lecture by Avi Wigderson from the Institute for Advanced Study. Delve into topics such as linear groups, graph isomorphism, and environment polynomials. Examine algorithms, group actions, and natural actions while understanding the importance of gradients and general theorems. Investigate local minimums, moment polytopes, and their relevance to computational problems. Conclude with a discussion on open problems and future research directions in this fascinating intersection of algebra and computer science.
Overview
Syllabus
Introduction
Algorithm
Outline
Linear Groups
Graph isomorphism
Environment polynomials
Algorithms
Group Actions
Natural Actions
Gradient
General Theorem
Local Minimum
Moment Polytope
Moment Polytopes
Algorithm Questions
Conclusion
Open Problems
Taught by
Simons Institute
