Research Seminars @ Illinois

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

GGT Seminar: Sectorial Decompositions of Symmetric Products and Homological Mirror Symmetry

Mar 12, 2026   11:00 am  
140 Burrill Hall
Seminar/Symposium
Sponsor
Department of Mathematics
Speaker
Xinle Dai (Harvard)
Views
25
Originating Calendar
Mathematics Seminar Series: Groups, Geometry, and Topology

Abstract: Symmetric products of Riemann surfaces play a crucial role in symplectic geometry and low-dimensional topology. They are essential ingredients for defining Heegaard Floer homology and serve as important examples of Liouville manifolds when the surfaces are open. In this talk, I will discuss my work on the symplectic topology of these spaces through Liouville sectorial methods, along with examples and applications of this decomposition construction to homological mirror symmetry.

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