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
Ceremony/Service
Sponsor
Department of Mathematics
Location
Henry Administration Building 149
Date
Nov 6, 2023   3:00 pm  
Speaker
Yao Xiao (Stony Brook)
Contact
Florian Zeiser
Views
49
Originating Calendar
General Events - Department of Mathematics

Title: Equivariant Lagrangian Floer theory on compact toric manifolds

Abstract: We define an equivariant Lagrangian Floer theory on compact symplectic toric manifolds for the subtorus actions. We prove that the set of Lagrangian torus fibers (with weak bounding cochain data) with non-vanishing equivariant Lagrangian Floer cohomology forms a rigid analytic space. We can apply tropical geometry to locate such Lagrangian torus fibers in the moment map.  We show that these Lagrangian submanifolds are nondisplaceable by equivariant Hamiltonian diffeomorphisms. 

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