Algebra and Combinatorics Seminar
- April 27, 2022
- 3:15 PM - 4:15 CST
- BVM Hall, Room 1102
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Department of Mathematics and Statistics
Carmen Rovi, crovi@luc.edu - Not open to the public.
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Details
Speaker: Sashka Kjuchukova (University of Natre Dame)
Topic: Coxeter groups and invariants of knots and links
Abstract: The meridional rank conjecture of Cappell and Shaneson posits equality between an algebraic invariant and a geometric invariant of links in S^3. I will describe a diagram coloring technique - which amounts to finding a Coxeter quotient of the fundamental group of the link complement - by which we can establish the conjecture for infinite classes of links. As a corollary, we derive formulas for the bridge numbers for the links in question. This talk should check the *T* and *A* boxes in *TACO* and lightly flirt with *C*. Based on joint works with Blair, Baader, Misev.