Math 226C: Symplectic
GeometryMWF 2-2:50pm Location: MS 6201
This is a
first course in symplectic geometry. Symplectic
geometry is the study of manifolds equipped with a
closed nondegenerate 2-form, called a Instructor: Ko Honda Office: MS 7901 (but will move to MS
7919 at some point)Office Hours: Mondays 1-2pm, Wednesdays 3-4pmE-mail: honda at math dot ucla dot
edu.Telephone: 310-825-2143
(for MS 7901)URL: http://www.math.ucla.edu/~honda
Topics- Basic notions, Darboux's theorem, local normal forms
- Some constructions
- J-holomorphic curves
- Applications, e.g., symplectic capacities
- Floer homology and Fukaya categories
Prerequisites - Math 225A, B, C or equivalent (a
good knowledge of differentiable manifolds and
homology).
**Math 226****A and B****are****not pre****requisites for Math 226C.**
Grading
- Based on attendance. If you want
an A+, submit your stack of HW at the end of the
quarter.
References- D. McDuff and D. Salamon, Introduction to symplectic topology, 2nd edition, Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 1998.
- R. Bryant,
*An introduction to Lie groups and symplectic g**eometry*, lecture notes from the Regional Geometry Institute in Park City, Utah, June 24-July 20, 1991. - A. Cannas da Silva,
*Lectures on symplectic geometry,*Lecture Notes in Mathematics 1764, Springer-Verlag, 2008.
- D. McDuff and D. Salamon,
*J-holomorphic curves and symplectic topology,**2nd edition,*American Mathematical Society Colloquium Publications, 52. American Mathematical Society, Providence, RI, 2012.
WARNING: The course syllabus provides a general plan for the course; deviations may become necessary. Last modified: October 10, 2017 |