An introduction to Floer theory
- ๐ค Speaker: Alexia Corradini, University of Cambridge ๐ Website
- ๐ Date & Time: Friday 08 March 2024, 16:00 - 17:00
- ๐ Venue: MR13
Abstract
Modern symplectic topology owes its most important and powerful tool, known as Floer theory, to Gromovโs 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.
Series This talk is part of the Junior Geometry Seminar series.
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Friday 08 March 2024, 16:00-17:00