3620 South Vermont Avenue, Los Angeles, CA 90089

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Jonathan Michala, USC

Abstract: We will follow Chris Wendl's introduction of Symplectic Field Theory. SFT is an algebraic formalism used to define invariants of contact manifolds. We will discuss historical background involving the Arnold and Weinstein conjectures, as well as Morse, Floer, and contact homology. Then, we will sketch the algebraic structure of SFT and give example applications to distinguishing contact structures and obstructing exact symplectic cobordisms.

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