Moduli Spaces of Instantons and Integrable Systems - From Calogero-Moser to DELL Systems
M-Seminar, Kansas State University via YouTube
Google AI Professional Certificate - Learn AI Skills That Get You Hired
The Fastest Way to Become a Backend Developer Online
Overview
Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
Explore a mathematics seminar lecture that delves into the intricate connections between generalized equivariant cohomology theories of instanton moduli spaces on \mathbb{C}^2 and prominent integrable systems including Calogero-Moser, Ruijsennars-Schneider, and DELL. Learn about θ-transforms of qq-characters vev's and their relationship to quantum spectral curves, followed by an examination of orbifolded versions involving affine Laumon spaces. Discover how these concepts lead to new formulations of Lax matrices and their eigenvectors, while also understanding the quantum-classical duality between trigonometric degenerations and corresponding spin chains, as well as their spectral duality implications.
Syllabus
Andrei Grekov - Moduli spaces of instantons and integrable systems
Taught by
M-Seminar, Kansas State University