Topic: bordism

Two-lecture series by Mohammed Abouzaid (Stanford): 'Framed bordism and nearby Lagrangians' (September 16) and 'Complex bordism and Hamiltonian fibrations' (September 17), on bordism-theoretic approaches to Lagrangian embeddings in symplectic manifolds and Arnold's nearby Lagrangian conjecture.

This survey presents the construction and classification of extended geometric functorial field theories. After reviewing classical definitions, it builds the relevant geometric bordism category, states two principal results and sketches the locality theorem and possible applications, drawing on joint work with Dmitri Pavlov.