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Symplectic Geometry and Quantization - Blitz Session

Offered By: Fields Institute via YouTube

Tags

Symplectic Geometry Courses Geometric Quantization Courses 4-Manifolds Courses Torus Actions Courses

Course Description

Overview

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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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