Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Symplectic and Poisson Geometry Seminar

Event Type

Seminar/Symposium

Sponsor

Department of Mathematics

Location

243 Altgeld Hall

Date

Nov 10, 2025 4:00 pm

Speaker

Ely Kerman (UIUC)

Originating Calendar

General Events - Department of Mathematics

Title: Intersection results for Lagrangian tori returning to the symplectic cylinder

Abstract

Let L(r, s) be a standard Lagrangian product torus in the 4-dimensional symplectic cylinder of capacity 1. If r is at least 1/2 and s is at least 1, then for any Hamiltonian diffeomorphsm of R^4 that maps L(r,s) back into the cylinder, the image of L(r,s) must intersect one of the Lagrangian tori of the form L(r,t) for t \geq s. I will discuss the proof of this result as well as some applications concerning the shape invariant of Hind and Zhang. This is joint work with Richard Hind.

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