Symplectic Geometry and Quantization - Blitz Session
Offered By: Fields Institute via YouTube
Course Description
Overview
Explore a series of four advanced mathematical talks in this 42-minute Blitz Session from the Fields Institute. Dive into Ethan Ross's discussion on stratified quantization, extending vector bundle theory to stratified spaces and introducing stratified versions of prequantum line bundles, polarizations, and polarized sections. Learn about Hyunmoon Kim's perspective on the complex Lagrangian Grassmannian as a parameter space for quantization, including its stratification and topological structure. Discover Leopold Zoller's insights on integral Chang-Skjelbred computations, focusing on Hamiltonian actions on manifolds with torsion-free cohomology. Finally, examine Rei Henigman's exploration of invariants for symplectic non-Hamiltonian circle actions on 4-manifolds, including a complete classification for certain cases and discussions on spaces with higher-dimensional first cohomologies.
Syllabus
Time: 3:20-pm
Time: 3:34-pm
Time: 3:48-pm
Time: 4:02-pm
Taught by
Fields Institute
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