Departement Mathematik

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[K-OS] Knot Online Seminar

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The Zoom password consists of the birth date (in format DDMMYYYY) of the mathematician whose name is usually associated to the duality between homology and cohomology of closed oriented manifolds. The Zoom password is also contained in the email notification (subscribe below).

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Herbstsemester 2024

Datum / Zeit Referent:in Titel Ort
17. Oktober 2024
16:15-17:15 		Maggie Miller
The University of Texas at Austin
Details

[K-OS] Knot Online Seminar

Titel Seifert surfaces of alternating knots in 4D
Referent:in, Affiliation Maggie Miller, The University of Texas at Austin
Datum, Zeit 17. Oktober 2024, 16:15-17:15
Ort online
Abstract We show that any two same-genus, oriented, boundary parallel surfaces bounded by a non-split alternating link into the 4-ball are smoothly isotopic fixing boundary. In other words, a non-split alternating link bounds a unique Seifert surface up to isotopy in the 4-ball (and up to genus). This is joint with Seungwon Kim and Jaehoon Yoo.
Seifert surfaces of alternating knots in 4Dread_more
online
21. November 2024
16:15-17:15 		Giulio Belletti
Institut de Mathématiques de Bourgogne
Details

[K-OS] Knot Online Seminar

Titel Torsion in the Kauffman bracket skein module
Referent:in, Affiliation Giulio Belletti, Institut de Mathématiques de Bourgogne
Datum, Zeit 21. November 2024, 16:15-17:15
Ort online
Abstract The skein module of a 3-manifold is a rich algebraic object whose elements are knots and links; it has many fascinating connections to representation theory, mathematical physics and the Jones polynomial. In this talk I will give a brief introduction to the topic, including discussing the sort of interesting problems that come up with these objects, and then I will focus on a recent joint work with R. Detcherry about the relationship between torsion in the skein module and interesting surfaces in the manifold.
Torsion in the Kauffman bracket skein moduleread_more
online
12. Dezember 2024
16:15-17:15 		Beibei Liu
Ohio State University
Details

[K-OS] Knot Online Seminar

Titel Bounding the Dehn surgery number by 10/8
Referent:in, Affiliation Beibei Liu, Ohio State University
Datum, Zeit 12. Dezember 2024, 16:15-17:15
Ort online
Abstract Every closed, oriented 3-manifold is obtained by a Dehn surgery on a link in the three-sphere. It is natural to ask about the minimal number of components of a link that admits a Dehn surgery to a given 3-manifold. In this talk, we use Furuta's 10/8-theorem to provide new examples of 3-manifolds with the same integral homology as the lens space L(2k, 1), while not surgery on any knot in the three-sphere.
Bounding the Dehn surgery number by 10/8read_more
online

Archiv: FS 25 HS 24

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