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Spring Semester 2025

Date / Time Speaker Title Location
20 February 2025
16:15-17:15 		Dr. Miguel Orbegozo Rodriguez
ETH Zurich, Switzerland
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[K-OS] Knot Online Seminar

Title Homogeneous braids are visually prime
Speaker, Affiliation Dr. Miguel Orbegozo Rodriguez, ETH Zurich, Switzerland
Date, Time 20 February 2025, 16:15-17:15
Location online
Abstract For which link diagrams can we tell, simply with the 2-dimensional diagram information, whether the associated link is prime? Menasco showed that we can for alternating diagrams, and Cromwell, for positive braids. The latter further conjectured that the same would hold for any diagram for which Seifert's algorithm yields a minimal genus surface. This minimality property, if we also required that the diagram be a braid closure, is equivalent to the braid being homogeneous. Since these links are fibered, we can use open book techniques. I will present a criterion for how primeness of fibered links behaves under an operation called Murasugi sums, which we consider to be of independent interest; and explain how we can use it to prove Cromwell's conjecture for braid closures, i.e. for homogeneous braids. This is joint work with Peter Feller and Lukas Lewark.
Homogeneous braids are visually primeread_more
online
20 March 2025
16:15-17:15 		Patricia Cahn
Smith College
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[K-OS] Knot Online Seminar

Title Rep-Tiles
Speaker, Affiliation Patricia Cahn, Smith College
Date, Time 20 March 2025, 16:15-17:15
Location online
Rep-Tiles
online
17 April 2025
16:15-17:15 		Jae Choon Cha
POSTECH
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[K-OS] Knot Online Seminar

Title Calegari's homotopy 4-spheres from fibered knots are standard
Speaker, Affiliation Jae Choon Cha, POSTECH
Date, Time 17 April 2025, 16:15-17:15
Location online
Calegari's homotopy 4-spheres from fibered knots are standard
online

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Archive: SS 25 AS 24

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