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Knot Theory, Geometric Lie Group Theory and Its Application 2024

Dates: March 24-25, 2025

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 2024".

Program

March 24 (Mon)

10:00--10:50　Ryoya Kai (Osaka Metropolitan University)
On metrics for quandles

11:10--12:00　Yewon Joung (Hanyang University)
Bikei module invariants of unoriendted surface-links

14:00--14:50　Noboru Ito (Shinshu University)
Twin commutators and higher Arnold strangeness invariants

15:10--16:00　Hokuto Konno (The University of Tokyo)
Symplectic structures and diffeomorphisms of 4-manifolds

16:20--17:10　Hiroyuki Fuji (Kobe University)
On analogues of Mirzakhani's recursion formula via minimal string theories

17:45--　　　  Party

March 25 (Tue)

10:00--10:50　Naoki Kimura (Tokyo University of Science)
Invariants of Legendrian knots and rack colorings

11:10--12:00　Dongsoo Lee (Korea Advanced Institute of Science and Technology)
ON THE GROUP OF HOMOLOGY S¹×S²’S

14:00--14:50　Shinobu Fujii (Chitose Institute of Science and Technology)
Symmetric Clifford systems and maximal s-commutative sets in real oriented Grassmannian manifolds

15:10--16:00　Sam Nelson (Claremont McKenna College)
Quandle cohomology quiver representations

16:20--17:10　Hiroshi Tamaru (Osaka Metropolitan University)
On the Euler characteristics for quandles