Matrices Filled by Variables: From Posets to Coxeter Groups and Beyond
Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Launch Your Cybersecurity Career in 6 Months
AI Engineer - Learn how to integrate AI into software applications
Overview
AI, Data Science & Cloud Certificates from Google, IBM & Meta — 40% Off
One plan covers every Professional Certificate on Coursera. 40% off Coursera Plus Annual.
Unlock All Certificates
Explore advanced mathematical concepts in this 54-minute lecture where Maxim Kontsevich from IHES expands upon his CAP2023 presentation about matrices filled with variables that possess eigenvalues as linear forms. Delve into the evolution from the original construction based on finite posets to a broader framework involving convex sets in general reflection groups, including scenarios where no group is present. Learn about the mathematical relationships between posets, Coxeter groups, and their extensions in matrix theory through this detailed academic presentation available on CARMIN.tv, a specialized French platform for mathematical research content.
Syllabus
Maxim Kontsevich - Matrices filled by variables, from posets to Coxeter groups, and beyond
Taught by
Institut des Hautes Etudes Scientifiques (IHES)