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: Injectivity and surjectivity of Dehn surgery

Event Type: Seminar/Symposium
Sponsor: Groups, Geometry, and Topology Seminar
Location: 347 Altgeld Hall
Date: Oct 9, 2025 11:00 am - 12:00 pm
Speaker: Lisa Piccirillo (Texas)
Views: 37
Originating Calendar: Groups, Geometry, and Topology Calendar; Dehn surgery (with fixed slope p/q) can be thought of as a function from the set of knots in the 3-sphere to the set of closed oriented 3-manifolds with first homology Z/p. In 1978 Gordon conjectured that this function is never surjective or injective. Gordon-Luecke proved the surjectivity assertion in 1989. In this talk I will describe joint work with Hayden and Wakelin proving the injectivity assertion. I will also discuss some refined surjectivity and injectivity questions.

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