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

GGT Seminar: Bordered Perspectives on Exotic Phenomena in 4D

Event Type: Seminar/Symposium
Sponsor: Groups, Geometry, and Topology Seminar
Location: 347 Altgeld Hall
Date: Dec 5, 2024 11:00 am - 12:00 pm
Speaker: Gary Guth (Stanford)
Views: 42
Originating Calendar: Groups, Geometry, and Topology Calendar; Abstract: In this talk, I will describe some joint works with Jesse Cohen and Sungkyung Kang. In short, these projects revolve around using tools from bordered Floer homology to detect exotic phenomena in dimension 4, by cutting up the objects of interest into simple pieces. First, I will describe a method for understanding certain symmetries of the Floer complex of certain knots in terms of symmetries of the Floer complexes of their complements. Kang and I refer to this as the ``LOT correspondence’’, and I will say a few words about using this correspondence to generate stably exotic corks. Second, I will describe work with Cohen which concerns interpreting certain cobordisms in terms of immersed curves. From this perspective, we explore how exotic surfaces can be constructed by studying satellites of slice disks.

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