MAT 562 Monday and Wednesday 11:30am-12:50pm, Physics P123

MAT 562: Symplectic Geometry

Course Instructor: Mark McLean.

Monday and Wednesday 11:30am-12:50pm, Physics P123.

Introduction to the Course

This course is an introduction to Symplectic Geometry. We will be studying symplectic manifolds, which can be thought of as spaces in which one can naturally write down using Hamiltons equations. We will introduce many of the key objects in this field such as Lagrangian, isotropic, coisotropic submanifolds. We will also give an introduction to moment map theory and toric geometry. We will also cover the ideas behind Gromov's non-squeezing theorem.

McDuff, Dusa, and Dietmar Salamon. Introduction to symplectic topology. Vol. 27. Oxford University Press, 2017.

Ana Cannas Da Silva. Lectures on symplectic geometry. Vol. 1764. Springer Science & Business Media, 2001.

Prerequisites

You should be very familiar with topics in Differential geometry such as Sards Theorem, Implicit Function theorem, connections and curvature etc.

Office Hours: Monday and Wednesday 10am-11am (3-112).

Homework

Homework 1 (Due Sep 14)
Homework 2 (Due Oct 05)
Homework 3 (Due Oct 19)
Homework 4 (Due Nov 9)
Homework 5 (Due Nov 30)

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