Fields Academy Shared Graduate Course: Symplectic Geometry
Description
Instructor: Prof. Ben Webster
Email: ben.webster@uwaterloo.ca
Application Deadline: January 18th, 2021
Lecture Times: Mondays and Wednesdays | 1:00 pm - 2:30 pm
Course Dates: January 11 - April 23, 2021
Course Overview
This class covers the basic theory of symplectic manifolds. Symplectic structures play a key role in modern mathematics and physics. We will discuss their basic local theory (in particular, the Darboux theorem), connections to complex and Kähler geometry, Hamiltonian mechanics, moment maps and symplectic reduction, and some additional topics, such as toric varieties, hyperkähler structures, quantization, Fukaya categories and mirror symmetry.
Schedule
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Hyperkähler manifolds
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Deformation quantization
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Geometric quantization
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Symplectic Geometry
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Symplectic Geometry
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Symplectic Geometry
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Symplectic Geometry
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Last day of class
Ben Webster, University of Waterloo |
| 13:00 to 14:30 |
Final project due
Ben Webster, University of Waterloo |
