Exotic Lagrangian tori in Grassmannians

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• Marco Castronovo, Rutgers
• Wednesday 15 January 2020, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

The complex Grassmannians contain a nondisplaceable monotone Lagrangian torus, which is a fibre of an integrable system introduced by Guillemin-Sternberg in the ‘80s. Usually, it does not generate the whole Fukaya category. I will talk about “exotic” Lagrangian tori that generate some of the missing parts. Their existence is a rather natural consequence of general ideas in mirror symmetry, cluster algebras and the theory of Okounkov bodies. Time permitting, I will mention how these ideas fit in a broader picture of mirror symmetry for coadjoint orbits of Lie groups.

This talk is part of the Differential Geometry and Topology Seminar series.

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