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.

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GGT seminar: An operator on bordered Khovanov homology induced by 2-cabling

Event Type
Seminar/Symposium
Sponsor
Groups, Geometry, and Topology Seminar
Location
347 Altgeld Hall
Date
Oct 16, 2025   11:00 am - 12:00 pm  
Speaker
Mihai Marian (UBC)
Views
4
Originating Calendar
Groups, Geometry, and Topology Calendar

Abstract: Cabling strongly invertible knots induces an operator on associated 4-ended tangles. In the case of 2-cabling, I will describe the construction of the resulting induced operator on the bordered Khovanov theory of Koteslkiy–Watson–Zibrowius, a theory that assigns immersed curves in a 4-punctured sphere to 4-ended tangles. Finally, I will discuss some of the structure revealed by this operator, in particular, how it relates to a new concordance invariant due to Lewark–Zibrowius.

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