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MAT 620 Topics in Topology: Introduction to Symplectic Topology

Course Instructor: Mark McLean

Tuesday, Wednesday Thursday 11:30am-12:50am, Mathematics 5127

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. Finally, we'll explain some of the key ideas (without many proofs) behind Gromov's non-displaceability theorem. We will use the following books:

Dusa McDuff and Dietmar Salamon. Introduction to symplectic topology. Oxford University Press, 1998.

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


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

Office Hours: Mon 2pm-3pm (Math learning center); Tu and Thur 10.30am-11:30am (4-101B)

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