日本語

Knot Theory, Geometric Lie Group Theory and Its Application 2023

Dates: March 13-14, 2024

Venue: Tokyo University of Science

Kagurazaka Campus, Morito Memorial Hall, Forum Room No. 1

Home Abstract Access

Recently, Knot Theory and Geometric Lie Group Theory (including Symmetric Space Theory) have been closely connected through algebraic notions such as Quandle and Biquandle. Both theories are also of interest in other research fields such as DNA, Gauge Theory, Seiberg-Witten Theory and Chern-Simons Theory. In light of these recent research trends, we will hold the workshop "Knot Theory, Geometric Lie Group Theory and Its Application 2023".

Program

March 13 (Wed)

10:00--10:50　Erika Kuno（Osaka University）
A quasi-isometric embedding induced by the orientation double covering

11:10--12:00　Seonmi Choi（Kyungpook National University）
On the triple point number and the length of a 3-cocycle of the 7-dihedral quandle

14:00--14:50　Shinji Ohno（Nihon University）
Antipodal sets of generalized s-manifolds

15:10--16:00　Koya Shimokawa（Ochanomizu University）
Band surgery and its application

16:20--17:10　Sam Nelson（Claremont McKenna College）
Quiver Categorification of Quandle Invariants

17:45--　　　  Party

March 14 (Thu)

10:00--10:50　Kentaro Yonemura（Sumitomo Electric Industries, Ltd.）
An embedding of a smooth quandle into a Lie group

11:10--12:00　Kurando Baba（Tokyo University of Science）
Geometry of symmetric triad

14:00--14:50　Masaki Taniguchi（Kyoto University）
Knots, Floer theory, and Chern-Simons functional

15:10--16:00　Masahito Yamazaki（Kavli IPMU）
Quandles and Topological Quantum Field Theories