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Thursday, October 25, 2018

**Abstract:** In this talk I will discuss a family of classical field theories in the Batalin--Vilkovisky formalism. These theories take as input n-symplectic Lie algebroids which correspond to symplectic manifolds, Poisson manifolds, and (higher) Courant algebroids. I will also discuss possible boundary conditions for these theories, e.g., Dirac structures and multiplectic structures. Finally, I will discuss aspects of the quantum theory in low dimensions.