Program
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Room 202 at RIMS, Chairperson: Jun Murakami
Thang Le (State University of New York, Buffalo)
Homotopy quantum field theory and quantum groups
Open problems of Thang Le
Kazuo Habiro (RIMS, Kyoto University)
On the colored Jones polynomial of links
Open problems of Kazuo Habiro
Justin Roberts (University of California, San Diego)
6j-symbols and asymptotics
Open problems of Justin Roberts
Room 202, Chairperson: Jun Murakami
Andrew Kricker (University of Sydney)
On some "rationality" properties of the Kontsevich integral
Open problems of Andrew Kricker
Thomas Kerler (Ohio State University)
Cut numbers and Reidemeister Torsion of 3-manifolds
from the (q-1)-expansions of the RT TQFT's
Open problems of Thomas Kerler
Adam Sikora (University of Montreal)
Analogies between number theory and 3-dimensional topology
Open problems of Adam Sikora
Room 115 at RIMS, Chairperson: Toshie Takata
Dylan Thurston (Harvard University)
The Casson invariant via configuration spaces
Open problems of Dylan Thurston
Jozef Przytycki (George Washington University)
Skein modules with a cubic skein relation: properties and speculations
Open problems of Jozef Przytycki
Xiao-Song Lin (University of California, Riverside)
The Bennequin number of n-trivial closed n-braids is negative
Open problems of Xiao-Song Lin
Room 115 at RIMS, Chairperson: Kazuo Habiro
Justin Sawon (University of Oxford)
Introduction to Rozansky-Witten invariants from a hyperkahler perspective
Open problems of Justin Sawon
Ted Stanford (New Mexico State University)
Free Newton expansions and two-strand string links
Open problems of Ted Stanford
Christine Lescop (University of Grenoble)
On the Bott and Taubes anomaly in the Chern-Simons theory for links
Open problems of Christine Lescop
Room 115 at RIMS, Chairperson: Thang Le
Vladimir Turaev (University of Strasbourg)
Homotopy quantum field theory
Open problems of Vladimir Turaev
Tomoyoshi Yoshida (Tokyo Institute of Technology)
An abelianization of SU(2) CFT and Witten invariant
Open problems of Tomoyoshi Yoshida
Dror Bar-Natan (Hebrew University)
Knotted trivalent graphs, tetrahedra and associators
Open problems of Dror Bar-Natan
Room 420 at RIMS
Chairpersons: Yoshiyuki Yokota (morning), Ryushi Goto (afternoon)
9:00 -- 10:00
Hitoshi Murakami (Tokyo Institute of Technology)
Good news and bad news about the volume conjecture
Open problems of Hitoshi Murakami
Riccardo Benedetti (University of Pisa)
On quantum hyperbolic invariants of 3-manifolds
Open problems of Riccardo Benedetti
Justin Roberts (University of California, San Diego)
Rozansky-Witten invariants and derived categories
Justin Sawon (University of Oxford)
Rozansky-Witten invariants and TQFTs
Nobuya Sato (Osaka Prefecture University)
Turaev-Viro-Ocneanu invariants of 3-manifolds from subfactors
Open problems of Nobuya Sato
Soeren Hansen (University of Strasbourg) and
Toshie Takata (Niigata University)
Quantum invariants of Seifert manifolds for simply laced Lie algebras and
their asymptotic expansion
Open problems of Soeren Hansen and Toshie Takata
Room 420 at RIMS
Chairpersons: Toshitake Kohno (morning), Yoshiyuki Ohyama (afternoon)
9:00 -- 10:00
Hugh Morton (University of Liverpool)
The Homfly polynomial for decorated Hopf links
Open problems of Hugh Morton
Vladimir Turaev (University of Strasbourg)
Abelian torsion of 3-manifolds
Open problems of Vladimir Turaev
Jozef Przytycki (George Washington University)
Symplectic structure on colorings, Lagrangian tangles and its applications
Adam Sikora (University of Montreal)
On Kerler's conjecture on cut numbers of 3-manifolds
Stephen Bigelow (University of Melbourne)
Homology and the Jones polynomial
Open problems of Stephen Bigelow
Gregor Masbaum (Institut de Mathematiques de Jussieu)
Alexander-Conway polynomial, Milnor numbers, and a new matrix-tree theorem
Open problems of Gregor Masbaum
Room 420 at RIMS
Chairpersons: Dylan Thurston (morning), Kazuo Habiro (afternoon)
9:00 -- 10:00
Toshitake Kohno (University of Tokyo)
Loop spaces of orbit configuration spaces and finite type invariants
Open problems of Toshitake Kohno
Dror Bar-Natan (Hebrew University)
Knot invariants, associators and a strange breed of planar algebras
Xiao-Song Lin (University of California, Riverside)
Link-homotopy invariants of finite type
Michael Polyak (Tel-Aviv University)
Binary rooted trees and Milnor's mu-invariants
Open problems of Michael Polyak
Chan-Young Park and Myeong-Ju Jeong (Kyungpook National University)
Polynomial invariants and Vassiliev invariants
Open problems of Chan-Young Park and Myeong-Ju Jeong
Seiichi Kamada (Osaka City University)
Knot invariants derived from quandles and racks
Open problems of Seiichi Kamada
Room 420 at RIMS
Chairpersons: Thang Le (morning), Tomotada Ohtsuki (afternoon)
9:00 -- 10:00
Greg Kuperberg (University of California, Davis)
Perturbative 3-manifold invariants are finite type
Open problems of Greg Kuperberg
Dylan Thurston (Harvard University)
Knotted trivalent graphs and their algebra
Problem session,... Short excursion,... Dinner
Room 420 at RIMS
Chairpersons: Toshie Takata (morning), Kouki Taniyama (afternoon)
9:00 -- 10:00
Thang Le (State University of New York, Buffalo)
On the integrality of perturbative invariants of homology 3-spheres
Kazuo Habiro (RIMS, Kyoto University)
Cyclotomic expansion of the Witten-Reshetikhin-Turaev invariant
Andrew Kricker (University of Sydney)
The LMO invariant and covering spaces
Christine Lescop (University of Grenoble)
Linking the configuration space integrals of the Chern-Simons theory
to the Kontsevich integral
Ted Stanford (New Mexico State University)
Computational results on mod 2 finite-type invariants of
knots and string links
Yoshiyuki Yokota (Tokyo Metropolitan University)
On the potential functions for the hyperbolic structures of a knot complement
Open problems of Yoshiyuki Yokota
Room 115 at RIMS
9:30 -- 10:30
Michael Polyak (Tel-Aviv University)
Goussarov's point of view on finite type invariants
Kazuo Habiro (RIMS, Kyoto University)
Goussarov's n-equivalence and tree clasper surgery
Yoshiyuki Ohyama (Nagoya Institute of Technology)
C_n-moves and their application
Ted Stanford (New Mexico State University)
Some groups of knots
Stavros Garoufalidis (Georgia Institute of Technology)
An introduction to the loop filtration
Dror Bar-Natan (Hebrew University)
Bracelets and the Goussarov filtration on the space of knots
Room 115 at RIMS, Chairperson: Gregor Masbaum
Stavros Garoufalidis (Georgia Institute of Technology)
Automata, graphs and boundary links
Dror Bar-Natan (Hebrew University)
Khovanov's categorification of the Jones polynomial
Dylan Thurston (Harvard University)
Perturbative 3-manifold invariants are finite type
Room 115 at RIMS, Chairperson: Teruaki Kitano
Hugh Morton (University of Liverpool)
Murphy operators and general Hopf link invariants
Stephen Bigelow (University of Melbourne)
The Burau representation for n=4
Gregor Masbaum (Institut de Mathematiques de Jussieu)
Unimodular representations of mapping class groups in TQFT