# MAT1312F

## nnouncements

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# Grader: Lisa Jeffrey

## eneral information

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Course outline **

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## ectures

** M 12:10-1:00 in
GB120; W 12:10--2:00 in BA6180
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The book by Ana Cannas da Silva (ref. 12 in the bibliography in the
course notes) is available online:
To A. Cannas da Silva, Lectures on Symplectic Geometry

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## nstructors

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Suggested projects for final presentation

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Course notes file

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Table of contents

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Introduction

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Hamiltonian group actions

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Elementary properties of moment maps

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Symplectic quotients

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Toric manifolds

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Convexity

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Equivariant cohomology

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Coadjoint orbits

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Duistermaat-Heckman theorem

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Darboux's theorem

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Geometric quantization

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Moduli spaces

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Curvature

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Appendix: Lie groups

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Bibliography

## ssignments

Assignment 1

Assignment 2

Assignment 3

To Univ. of Toronto Department of
Mathematics

(This page is under construction)
September 20, 2016