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Knot Theory, Geometric Lie Group Theory and Its Application 2025

Dates: March 18-19, 2026

Venue: Tokyo University of Science

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

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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 2025".

Program  [PDF version]

March 18 (Wed)

10:00--10:50　ByeoRhi Kim (POSTECH, Korea)
On the construction of foldings of branched covers along knots

11:10--12:00　Kurando Baba (Tokyo University of Science)
Backward mean curvature flow starting from equifocal submanifolds and building structures

14:00--14:25　Mirei Itabashi (Ochanomizu University)
Characterization of quandle obtained from skew brace

14:45--15:35　Satoshi Yamaguchi (The University of Osaka)
On the index of the Dirac Operator on the Lattice

15:55--16:45　Sam Nelson (Claremont Mckenna College)
Biquandle Virtual Bracket Quivers

17:30--19:30　　　  Party

March 19 (Thu)

10:15--11:05　Toru Kajigaya (Tokyo University of Science)
Non-existence of stable discrete maps into homogeneous spaces of non-negative curvature

11:20--12:10　Yuka Kotorii (Hiroshima University)
On the Habegger-Lin algorithm for link-homotopy classes of links

14:15--14:40　Ayu Suzuki (Japan Women’s University)
On embedding of homogeneous quandles and its examples

15:00--15:50　Etsuo Segawa (Yokohama National University)
A comfortable graph embedding on surfaces for quantum walks