The theme, at least for the first half of the quarter, will be the homological algebra and geometry of the loop space.
i) The String product (Sullivan and Chas)
ii) Definitions of Hoschild and cyclic cohomology of an algebra
iii) Relationship of the string product to Hoschild and cyclic cohomology on chains of loops space
iv) Relationship of the string product to the Symplectic Field Theory of the cotangent bundle