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An introduction to Floer theory

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If you have a question about this talk, please contact Alexis Marchand.

Modern symplectic topology owes its most important and powerful tool, known as Floer theory, to Gromov’s pseudo-holomorphic curve theory. In the late 80s, Floer introduced an infinite-dimensional analogue of Morse homology defined using counts of pseudo-holomorphic strips with boundaries on a Lagrangian. In suitable settings, this recovers the homology of the Lagrangian.

This talk is an introduction to Floer theory; I will go through its basic constructions, illustrate with some simple examples, and hopefully convey some of its appeal.

This talk is part of the Junior Geometry Seminar series.

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