MATH 7620 - Symplectic Geometry (seminar in geometry)

Ana Rita Pires, spring 2014.

Symplectic geometry is a branch of differential geometry which studies manifolds endowed with a nondegenerate closed 2-form. The field has connections to (at least!) complex geometry, algebraic geometry, hamiltonian mechanics and mathematical physics.

We will start with basics by following Cannas da Silva's book Lectures on Symplectic Geometry (available online through the math library) and then, depending on the interests of the students taking the course, move on to other sources and other topics in symplectic geometry. If you have a specific topic that you would like to see included, let me know!

It being a seminar, some lectures will be given by the instructor, others by the students.