Intelligence of Low Dimensional Topology 2005

Intelligence of Low Dimensional Topology 2007 and Extended KOOK Seminar

Osaka, Japan

August 29 - September 1, 2007

   The joint conference ``Intelligence of Low Dimensional Topology 2007'' (ILDT) and the Extended KOOK Seminar took place at Osaka City University, Osaka, Japan, during August 29 -- September 1, 2007, as a part of the research project "Constitution of wide-angle mathematical basis focused on knots" (Akio Kawauchi, the project reader), and the Grant-in-Aid for Scientific Research (B) in 2004 ``Research on $4$-dimensional topology from the viewpoint of graphics and quandle theory (17340017)'' (Seiichi Kamada).

   This is the 5th of the series of conferences ``Intelligence of Low Dimensional Topology". It follows the preceding series of conferences ``Art of Low Dimensional Topology'' organized by Akio Kawauchi (Osaka City University) and Toshitake Kohno (University of Tokyo), and is organized also by Seiichi Kamada (Hiroshima University) from this new series. The aim of this conference is to promote research in low-dimensional topology with the focus on knot theory and related topics.

   There were 19 lectures and 124 participants.
   The organizers were Taizo Kanenobu and Seiichi Kamada.

Seiichi Kamada,    December 2007

Schedule: Program (in Japanese); Program (in English)

August 29 (Wed.)

10:00-10:45 Katsuhisa Mimachi (Tokyo Institute of Technology)
The Jones polynomial in terms of the intersection number of twisted (loaded) cycles associated with a Selberg type integral
11:00-11:45 Kokoro Tanaka (Gakushuin University)
Studies on surface-knots using quandles and quandle homology theory
14:00-14:45 Michihisa Wakui (Kansai University)
On the Turaev-Viro-Ocneanu invariant of $3$-manifolds derived from generalized $E_6$ -subfactors (jointly with Nobuya Sato)
15:00-15:45 Atsushi Ishii (Kyoto University)
Moves and invariants for knotted handlebodies
16:00-16:45 Danielle O'Donnol (UCLA)
Intrinsically $n$-linked complete graphs
17:00-17:45 Donghi Lee (Pusan National University)
On several problems about automorphisms of the free group of rank two

August 30 (Thu.)

10:00-10:45 Yoshihiko Mitsumatsu (Chuo University)
2-dimensional foliations and compact leaves on 4-manifolds
---Can a $T^2$-knot be realized as a compact leaf of a foliation?---
11:00-11:45 Danny Calegari (California Institute of Technology)
Positivity of universal pairings of 3-manifolds, and the topological Cauchy-Schwarz inequality
14:00-14:45 Sang Youl Lee (Pusan National University)
Formulas for the Casson invariant of integral homology $3$-spheres
15:00-15:45 Tetsuhiro Moriyama (University of Tokyo)
On the vanishing of the Rohlin invariant
16:00-16:45 Tadayuki Watanabe (Kyoto University)
The simplest Kontsevich class for non-linear bundles and Haefliger-Takase's invariant
17:00-17:45 Kazuhiro Ichihara (Nara University of Education)
On the maximal number of exceptional surgeries
(Party 18:00-20:00 ``Wisteria'' in Media Center on the 1st floor)

August 31 (Fri.)

10:00-10:45 Ryo Nikkuni (Kanazawa University)
Homotopy on spatial graphs and generalized Sato-Levine invariants
11:00-11:45 Yo'av Rieck (University of Arkansas)
On Steiner trees in the hyperbolic plane
14:00-14:45 Yoshikazu Yamaguchi (University of Tokyo)
The non-acyclic Reidemeister torsion and the twisted Alexander invariant for knots
15:00-15:45 Ken Kanno (Waseda University)
On braid presentation of spatial graphs (jointly with Kouki Taniyama)
16:00-16:45 Toshifumi Tanaka (Osaka City University)
Maximal Thurston-Bennequin numbers and Rasmussen invariants of doubled knots

September 1 (Sat.)

10:00-10:45 Kouki Taniyama (Waseda University)
Multiplicity of a space over another space
11:00-11:45 Chan-Young Park (Kyungpook National University)
Periodic virtual links and the binary bracket polynomials

In advance of this conference, we have Kyungpook National University BK21, Pusan National University BK21,Osaka
City University 21COE Joint Graduate Student Workshop on August 27 and 28 at Osaka City University Media Center
(1F). Fields of mathematics for the conference do not be restricted to Knots and Low-dimensional Topology.

Organizers Taizo Kanenobu (Osaka City University) and Seiichi Kamada (Hiroshima University)
ILDT: Akio Kawauchi (Osaka City University), Toshitake Kohno (University of Tokyo), Seiichi Kamada (Hiroshima University)

by S. Kamada