- Schedule of Classes - September 22, 2020 7:14PM EDT
- Course Catalog - September 22, 2020 7:15PM EDT
Course information provided by the Courses of Study 2020-2021.
Symplectic geometry is a branch of differential geometry which studies manifolds endowed with a nondegenerate closed 2-form. The field originated as the mathematics of classical (Hamiltonian) mechanics and it has connections to (at least!) complex geometry, algebraic geometry, representation theory, and mathematical physics. In this introduction to symplectic geometry, the class will begin with linear symplectic geometry, discuss canonical local forms (Darboux-type theorems), and examine related geometric structures including almost complex structures and Kähler metrics. Further topics may include symplectic and Hamiltonian group actions, the orbit method, the topology and geometry of momentum maps, toric symplectic manifolds, Hamiltonian dynamics, symplectomorphism groups, and symplectic embedding problems.
When Offered Fall.
Prerequisites/Corequisites Prerequisite: MATH 6510 and MATH 6520, or permission of instructor.
Regular Academic Session.
Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)
Class Number & Section Details
- TROnline Meeting
- Sep 2 - Dec 16, 2020
Instruction Mode: Online
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