MAT 645 
Topics in Differential Geometry 
Spring 2011 
TuTh 9:50-11:10
Math Tower 5-127

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TuTh 2:30--3:30, or by appointment.

Symplectic Geometry

Symplectic manifolds originated in mathematical physics, but their study has now become a core subject in pure mathematics, with profound links to both differential geometry and complex analysis. This course will introduce the student to the foundations of the subject, and explore the role of symplectic geometry in algebraic geometry, Riemanian geometry, classical mechanics, and quantum mechanics. Topics will include:

Recommended textbook:
Ana Cannas da Silva,
Lectures on Symplectic Geometry,
Paperback, 2nd printing,
Springer-Verlag, © 2001.

Prerequisite: Geometry/Topology II, or permission of the instructor.

Grades will be based on class participation.

The Professor may be reached via e-mail by .
This is the best method for making appointments outside normal office hours.

Links to relevant historic papers by: Kähler,

Illustration from: The Road to Reality, by Roger Penrose, © 2004. Used by permission of the author & illustrator.

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