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Geometry & Topology Seminar

Title: Tropical curve counting
Speaker: Sushmita Venugopalan (IMSc, Chennai)
Date: 23 September 2019
Time: 3:30 pm
Venue: LH-1, Mathematics Department

Counting holomorphic curves in a symplectic manifold has been an area of research since Gromov’s work on this subject in the 1980s. Symplectic manifolds naturally allow a ‘cut’ operation. We explore what happens to curve count-based invariants when a collection of cuts is applied to a symplectic manifold. An interesting feature of curves in a multiply-cut manifold is that they have an underlying ‘tropical graph’, which is a graph that lives in the polytope associated to the cut.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024