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: Bounding non-integral non-characterizing Dehn surgeries

Event Type: Seminar/Symposium
Sponsor: Groups, Geometry, and Topology Seminar
Location: 347 Altgeld Hall
Date: Jan 30, 2025 11:00 am - 12:00 pm
Speaker: Patricia Sorya (Unversité du Québec à Montréal)
Views: 31
Originating Calendar: Groups, Geometry, and Topology Calendar; Abstract:
A Dehn surgery slope p/q is said to be characterizing for a knot K if the homeomorphism type of the p/q-Dehn surgery along K determines the knot up to isotopy. I discuss advances towards a conjecture of McCoy that states that for any knot, all but at most finitely many non-integral slopes are characterizing. By combining ideas from geometric topology and computations of knot Floer complexes, we identify a bounded region containing all non-characterizing non-integral Dehn surgery slopes for the vast majority of knots with at most 16 crossings.

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