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Thomas Kragh: Introduction to symplectic topology for algebraic topologists

Time: Fri 2022-03-04 09.15 - 14.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Thomas Kragh (Uppsala University)

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Abstract: I will define and discuss the basic notions in symplectic topology (assuming some knowledge of smooth manifolds, forms, singular/DeRham (co)homology, etc). I will also discus the classical invariants such as Gromov-Witten invariants, and their counterparts for Lagrangians. I will try and explain problems/obstructions involved in lifting certain of these invariants to spectra, but also how to sometimes get around these issues. I will try and spend the majority of the time on basic notions as without these it is impossible to get any insight — this means that some of the more technical and deep theorems will only be discussed at the hand-wavy level (I will however try and formulate these things in terms/relation to known theorems and concepts in algebraic topology).

There will be a lunch break.