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Category: List of Bases 2009 2009 ICTP activities in Trieste ICTP activities in Trieste
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lecture

Start Time:

11 May 2009 at 08:30

Ends On:

29 May 2009

Location:

Trieste - Italy

Venue:

LB (Main Lecture Hall)

Organizer(s):

Directors: S. Jablan, L.H. Kauffman, S. Lambropoulou, J. Przytycki. Local organizer: Li Jiayu

Description:

Main Topics

General Knot Theory and Invariants of Three-Manifolds,

DNA and Chemical Knotting,

Physical Knotting and Computational Knot Theory,

Knots, Physics and Quantum Information Theory,

Categorification (Khovanov and Knot Floer Homology).

Material:

Monday, 11 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
10:30
REGISTRATION AND ADMINISTRATIVE FORMALITIES
02h00'
Room: Leonardo da Vinci Building, Lobby
10:30
11:00
Opening
30'
Le Dung Trang
ICTP, Trieste, Italy
11:00
12:00
Introductory talk on Knot Theory
01h00'
S. Lambropoulou
National Technical University, Athens, Greece
12:00
14:00
Lunch break
02h00'
14:00
15:00
Combinatorial knot theory, bracket polynomial, Khovanov homology
01h00'
L.H. Kauffman
University of Illinois at Chicago, Chicago, USA
15:00
15:15
Coffee break
15'
15:15
16:15
Quantum computing and quantum knots
01h00'
S. Lomonaco
University of Maryland Baltimore County, Baltimore, USA
16:15
16:20
Break
05'
16:20
17:20
Physical knot theory
01h00'
C.K. Millett
University of California at Santa Barbara, Santa Barbara, USA
Tuesday, 12 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Basic knot theory, quantum invariants, cabling
01h00'
H. Morton
The University of Liverpool, Liverpool, UK
09:30
09:45
Break
15'
09:45
10:45
Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules
01h00'
J.H. Przytycki
The George Washington University, Washington DC, USA
10:45
11:00
Break
15'
11:00
12:00
Tangles, braids, knots in 3-manifolds
01h00'
S. Lambropoulou
National Technical University, Athens, Greece
12:00
14:00
Lunch break
02h00'
14:00
15:00
Combinatorial knot theory, bracket polynomial, Khovanov homology
01h00'
L.H. Kauffman
University of Illinois at Chicago, Chicago, USA
15:00
15:10
Coffee break
10'
15:10
16:10
Quantum computing and quantum knots
01h00'
S. Lomonaco
University of Maryland Baltimore County, Baltimore, USA
16:10
16:15
Break
05'
16:15
17:15
Physical knot theory
01h00'
C.K. Millett
University of California at Santa Barbara, Santa Barbara, USA
Wednesday, 13 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Basic knot theory, quantum invariants, cabling
01h00'
H. Morton
The University of Liverpool, Liverpool, UK
09:30
09:45
Coffee break
15'
09:45
10:45
Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules
01h00'
J.H. Przytycki
The George Washington University, Washington DC, USA
10:45
11:00
Break
15'
11:00
12:00
Tangles, braids, knots in 3-manifolds
01h00'
S. Lambropoulou
National Technical University, Athens, Greece
12:00
14:00
Lunch break
02h00'
14:00
15:00
Combinatorial knot theory, bracket polynomial, Khovanov homology
01h00'
L.H. Kauffman
University of Illinois at Chicago, Chicago, USA
15:00
15:10
Break
10'
15:10
16:10
Quantum computing and quantum knots
01h00'
S. Lomonaco
University of Maryland Baltimore County, Baltimore, USA
16:10
16:15
Break
05'
16:15
17:15
Physical knot theory
01h00'
C.K. Millett
University of California at Santa Barbara, Santa Barbara, USA
Thursday, 14 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Basic knot theory, quantum invariants, cabling
01h00'
H. Morton
The University of Liverpool, Liverpool, UK
09:30
09:45
Coffee break
15'
09:45
10:45
Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules
01h00'
J.H. Przytycki
The George Washington University, Washington DC, USA
10:45
11:00
Break
15'
11:00
12:00
Knots, computers, conjectures
01h00'
S. Jablan
Mathematical Institute Sanu, Belgrade, Republic of Serbia
12:00
14:00
Lunch break
02h00'
14:00
15:00
Vassiliev invariants
01h00'
S. V. Chmutov
Ohio State University, Mansfield, USA
15:00
15:10
Break
10'
15:10
16:10
Knots, computers, conjectures
01h00'
S. Jablan
Mathematical Institute Sanu, Belgrade, Republic of Serbia
16:10
16:15
Break
05'
16:15
17:15
Virtual knots, knot combinatorics, free links and graph links
01h00'
V.O. Manturov
Moscow State University, Moscow, Russian Federation
Friday, 15 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Vassiliev invariants
01h00'
S. V. Chmutov
Ohio State University, Mansfield, USA
09:30
09:45
Coffee break
15'
09:45
10:45
Free links and 4-graphs
01h00'
V.O. Manturov
Moscow State University, Moscow, Russian Federation
10:45
11:00
Break
15'
11:00
12:00
Knots, computers, conjectures
01h00'
S. Jablan
Mathematical Institute Sanu, Belgrade, Republic of Serbia
12:00
14:00
Lunch break
02h00'
14:00
15:00
Vassiliev invariants
01h00'
S. V. Chmutov
Ohio State University, Mansfield, USA
15:00
15:10
Break
10'
15:10
16:10
Graph-links (joint work with Dr. P.D. Ilyutko)
01h00'
V.O. Manturov
Moscow State University, Moscow, Russian Federation
16:10
17:15
OPEN DISCUSSION
01h05'
Saturday, 16 May 2009 (Saturday)

Room: Adriatico Guest House Kastler Lecture Hall

15:00
18:00
WORKSHOP ON "COMBINATORICS OF KNOTS AND VIRTUAL KNOT THEORY"
03h00'
V.O. Manturov and D.P. Ilyutko
Moscow State University, Moscow, Russian Federation
Monday, 18 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Physical knots
01h00'
E. Rawdon
University St. Thomas, Saint Paul MN, USA
09:30
09:45
Coffee break
15'
09:45
10:45
Combinatorial knot theory, bracket polynomial, Khovanov homology
01h00'
L.H. Kauffman
University of Illinois at Chicago, Chicago, USA
10:45
11:00
Break
15'
11:00
12:00
(u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
01h00'
D. Bar-Natan
University of Toronto, Toronto, Canada
12:00
14:00
Lunch break
02h00'
14:00
15:00
Link homology
01h00'
M. Khovanov
Columbia University, New York, USA
15:00
15:10
Break
10'
15:10
16:10
Knot Floer homology
01h00'
P. Ozsvath
Columbia University, New York, USA
16:10
16:15
Break
05'
16:15
17:15
DNA and knots
01h00'
D. Buck
Imperial College London, London, UK
Tuesday, 19 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Physical knots
01h00'
E. Rawdon
University St. Thomas, Saint Paul MN, USA
09:30
09:45
Coffee break
15'
09:45
10:45
3-manifolds and knots
01h00'
C. Gordon
The University of Texas at Austin, Austin, USA
10:45
11:00
Break
15'
11:00
12:00
(u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
01h00'
D. Bar-Natan
University of Toronto, Toronto, Canada
12:00
14:00
Lunch break
02h00'
14:00
15:00
Link homology
01h00'
M. Khovanov
Columbia University, New York, USA
15:00
15:10
Break
10'
15:10
16:10
Knot Floer homology
01h00'
P. Ozsvath
Columbia University, New York, USA
16:10
16:15
Break
05'
16:15
17:15
DNA and knots
01h00'
D. Buck
Imperial College London, London, UK
19:00
22:00
RECEPTION AT ADRIATICO GUEST HOUSE - TERRACE (weather permitting) or AT ADRIATICO CAFETERIA
03h00'
Wednesday, 20 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Basic knot theory, fundamental group, rack, birack
01h00'
R. Fenn
University of Sussex, Falmer, Brighton, UK
09:30
09:45
Coffee break
15'
09:45
10:45
3-manifolds and knots
01h00'
C. Gordon
The University of Texas at Austin, Austin, USA
10:45
11:00
Break
15'
11:00
12:00
(u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
01h00'
D. Bar-Natan
University of Toronto, Toronto, Canada
12:00
14:00
Lunch break
02h00'
14:00
15:00
Link homology
01h00'
M. Khovanov
Columbia University, New York, USA
15:00
15:10
Break
10'
15:10
16:10
Knot Floer homology
01h00'
P. Ozsvath
Columbia University, New York, USA
16:10
16:15
Break
05'
16:15
17:15
Kontsevich integral and Goussarov's theorem
01h00'
S.V. Chmutov
Ohio State University, Mansfield, USA
Thursday, 21 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Basic knot theory, fundamental group, rack, birack
01h00'
R. Fenn
University of Sussex, Falmer, Brighton, UK
09:30
09:45
Coffee break
15'
09:45
10:45
3-manifolds and knots
01h00'
C. Gordon
The University of Texas at Austin, Austin, USA
10:45
11:00
Break
15'
11:00
12:00
(u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
01h00'
D. Bar-Natan
University of Toronto, Toronto, Canada
12:00
14:00
Lunch break
02h00'
14:00
15:00
Link homology
01h00'
M. Khovanov
Columbia University, New York, USA
15:00
15:10
Break
10'
15:10
16:10
Knot Floer homology
01h00'
P. Ozsvath
Columbia University, New York, USA
16:10
16:15
Break
05'
16:15
17:15
Topological quantum information theory
01h00'
L.H. Kauffman
University of Illinois at Chicago, Chicago, USA
Friday, 22 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Basic knot theory, fundamental group, rack, birack
01h00'
R. Fenn
University of Sussex, Falmer, Brighton, UK
09:30
09:45
Coffee break
15'
09:45
10:45
Knots, graphs and chemistry
01h00'
E. Flapan
Pomona College, Claremont CA, USA
10:45
11:00
Break
15'
11:00
12:00
Physical knot theory
01h00'
J. Cantarella
University of Georgia, Athens GA, USA
12:00
14:00
Lunch break
02h00'
14:00
15:00
Physical knot theory
01h00'
J. Cantarella
University of Georgia, Athens GA, USA
15:00
15:10
Break
10'
15:10
16:10
Knots, graphs and chemistry
01h00'
E. Flapan
Pomona College, Claremont CA, USA
16:10
16:15
Break
05'
16:15
16:45
Holomorphic dynamics of knots
30'
G.N. Khimshiashvili
Georgian Academy of Sciences, Tbilisi, Georgia
16:45
17:30
OPEN DISCUSSION
45'
CONFERENCE

Room: Leonardo da Vinci Building Main Lecture Hall

25 May 2009
08:30
09:00
Registration of the Participants
30'
09:00
09:50
Convolutions on Lie Groups and Lie Algebras and Ribbon 2-Knots
50'
D. Bar-Natan
University of Toronto, Toronto, Canada
09:50
10:10
Coffee break
20'
10:10
11:00
Sections of fiber bundles over surfaces and TQFTs
50'
V. Turaev
University of Zurich, Zurich, Switzerland
11:00
11:10
Break
10'
11:10
12:00
Categorification of the Hecke algebra
50'
M. Khovanov
Columbia University, New York, USA
12:00
14:00
Lunch break
02h00'
14:00
14:50
On quantum knot and 3-manifold invariants
50'
R. Lawrence
Einstein Institute of Mathematics, Jerusalem, Israel
14:50
15:10
Break
20'
15:10
16:00
Three Knotty Tales: complementary regions, spiral index and spanning surfaces for alternating knots
50'
C. Adams
Bronfman Science Center, Williams College, Williamstown MA, USA
16:00
16:10
Break
10'
16:10
16:40
Tutte and Jones polynomials of link families
30'
S. Jablan
Mathematical Institute Sanu, Belgrade, Republic of Serbia
16:40
16:45
Break
05'
16:45
17:05
Categorification of orthogonal polynomials
20'
R. Sazdanovic
The George Washington University, Washington DC, USA
17:05
17:10
Break
05'
17:10
17:30
Quantum invariants of random Heegaard splittings
20'
H. Wong
Bowdoin College, Brunswick, USA
17:30
18:30
POSTER SESSION
01h00'
Tuesday, 26 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
09:50
Topology bounds the energy of knots and links
50'
R.L. Ricca
University of Milano-Bicocca, Milano, Italy
09:50
10:10
Coffee break
20'
10:10
11:00
Knots and slipknots in random walks and equilateral polygons
50'
K.C. Millett
University of California at Santa Barbara, Santa Barbara, USA
11:00
11:10
Break
10'
11:10
12:00
A unified quantum SO(3) invariant for rational homology 3-spheres
50'
A. Beliakova
University of Zurich, Zurich, Switzerland
12:00
14:00
CONFERENCE PHOTO - Lunch break
02h00'
SESSION 1

Room: Leonardo da Vinci Building Main Lecture Hall

26 May 2009
14:00
14:40
Topological applications of quantum invariants
40'
J. Kania-Bartoszynska
National Science Foundation, Arlington, USA
14:40
14:50
Break
10'
14:50
15:30
Extending homeomorphisms from punctured surfaces to handlebodies
40'
M. Mulazzani
University of Bologna, Bologna, Italy
15:30
15:40
Break
10'
15:40
16:00
An extension of the multivariable Alexander polynomial to tangles
20'
J. F. Archibald
University of Toronto, Toronto, Canada
16:00
16:10
Break
10'
16:10
16:30
An extension of the Kontsevich integral to knotted trivalent graphs
20'
Z. Dancso
University of Toronto, Toronto, Canada
16:30
16:40
Break
10'
16:40
17:00
Integrality property of the colored Jones Polynomial
20'
I. Buehler
University of Zurich, Zurich, Switzerland
17:00
17:10
Break
10'
17:10
17:30
On the volume of a spherical octahedron with symmetries
20'
N. Abrosimov
Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
17:30
18:30
POSTER SESSION
01h00'
SESSION 2

Room: Leonardo da Vinci Building Euler Lecture Hall

26 May 2009
14:00
14:40
Conformally invariant energies of knots and links
40'
J. O'Hara
Tokyo Metropolitan University, Tokyo, Japan
14:40
14:50
Break
10'
14:50
15:30
How to categorify dynamical zeta functions
40'
A. Felshtyn
Boise State University, Boise, USA
15:30
15:40
Break
10'
15:40
16:00
Intrinsically n-linked Spatial Graphs
20'
D. O'Donnol
Rice University, Houston TX, USA
16:00
16:10
Break
10'
16:10
16:30
Cohomology reveals when helicity is a diffeomorphism invariant
20'
J. Parsley
Wake Forest University, Winston-Salem, USA
16:30
16:40
Break
10'
16:40
17:00
The linking number and the writhe of uniform random walks and polygons in confined spaces
20'
E. Panagiotou
National Technical University, Athens, Greece
17:00
17:10
Break
10'
17:10
17:30
Surfaces associated to a knotted space curve
20'
B. Jablonska
Technical University of Berlin, Berlin, Germany
17:30
18:30
POSTER SESSION
01h00'
Wednesday, 27 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
09:50
Unsolvable problems about higher-dimensional knot groups
50'
C. Gordon
The University of Texas at Austin, Austin, USA
09:50
10:10
Coffee break
20'
10:10
11:00
Skein module motivation for Gram determinants of curves on surfaces
50'
J.H. Przytycki
The George Washington University, Washington DC, USA
11:00
11:10
Break
10'
11:10
12:00
Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces
50'
J. S. Carter
University of South Alabama, Mobile AL, USA
12:00
14:00
Lunch break
02h00'
14:00
14:40
Framed knots, singular knots and Yokonuma-Hecke algebras
40'
S. Lambropoulou
National Technical University, Athens, Greece
14:40
14:50
Break
10'
14:50
15:30
Tutte polynomial of graphs and Jones polynomial of virtual links
40'
S. V. Chmutov
Ohio State University, Mansfield, USA
15:30
15:40
Break
10'
SESSION 1

Room: Leonardo da Vinci Building Main Lecture Hall

27 May 2009
15:40
16:20
Distortion of Knots
40'
J. M. Sullivan
Technical University of Berlin, Berlin, Germany
16:20
16:30
Break
10'
16:30
16:50
The Yokonuma-Temperley-Lieb algebras
20'
D. Goundaroulis
National Technical University, Athens, Greece
16:50
17:00
Break
10'
17:00
17:20
Kauffman Bracket Skein Module of the connected sum of two real projective spaces
20'
M. Mroczkowski
University of Gdansk, Gdansk, Poland
17:20
18:20
POSTER SESSION
01h00'
SESSION 2

Room: Leonardo da Vinci Building Euler Lecture Hall

27 May 2009
15:40
16:20
Pure virtual braid groups and Lie algebras
40'
V. Vershinin
University of Montpellier II, Montpellier, France
16:20
16:30
Break
10'
16:30
16:50
On vortex knots and unknots
20'
F. Maggioni
University of Bergamo, Bergamo, Italy
16:50
17:00
Break
10'
17:00
17:20
A phenomenological approach to 2D Potts and 3D Ising models
20'
F. Canfora
Centro de Estudios Cientificos, Valdivia, Chile
17:20
18:20
POSTER SESSION
01h00'
Thursday, 28 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
09:50
Virtual knot theory and the Jones polynomial
50'
L.H. Kauffman
University of Illinois at Chicago, Chicago, USA
09:50
10:10
Coffee break
20'
10:10
11:00
An intuitive overview of the theory of quantum knots
50'
S.J. Lomonaco
University of Maryland Baltimore County, Baltimore, USA
11:00
11:10
Break
10'
11:10
11:30
Detection of Chirality and mutation of knots and links
20'
P. Ramadevi
Indian Institute of Technology, Mumbai, India
11:30
11:40
Break
10'
11:40
12:00
Exact sequences of pure braid groups: applications and generalizations
20'
P. Bellingeri
University of Basse Normandie, Caen, France
12:00
14:00
Lunch break
02h00'
14:00
14:50
Braid Order: History and Connection with Knots
50'
P. Dehornoy
University of Caen, Caen, France
14:50
15:00
Break
10'
SESSION 1

Room: Leonardo da Vinci Building Main Lecture Hall

28 May 2009
15:00
15:20
Topologically Ordered States and their Hamiltonians
20'
A. Protogenov
Institute of Applied Physics of the RAS, Nizhny Novgorod, Russian Federation
15:20
15:25
Break
05'
15:25
15:45
Ribbon 2-knots, graded forests and rational knots
20'
Pedro Lopes
Instituto Superior Tecnico, Lisbon, Portugal
15:40
15:50
Break
10'
15:50
16:10
Meridional number of a link in the solid torus and skein modules
20'
J. Malesic
University of Ljubljana, Ljubljana, Slovenia
16:10
16:20
Break
10'
16:20
16:40
Groebner bases of braid monoids and normal forms of braids
20'
Usman Ali
Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
16:40
16:50
Break
10'
16:50
17:10
Growth of elements of Artin monoids
20'
Zaffar Iqbal
Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
17:10
17:15
Break
05'
17:15
17:35
Recurrence Relations for Alexander Conway Polynomial
20'
Rehana Ashraf
Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
17:35
18:30
POSTER SESSION
55'
SESSION 2

Room: Leonardo da Vinci Building Euler Lecture Hall

28 May 2009
15:00
15:40
On some differential and symplectic geometric aspects of linking numbers
40'
M. Spera
University of Verona, Verona, Italy
15:40
15:50
Break
10'
15:50
16:10
Solving Tangle Equations: An overview of the tangle model associated with site specific recombination and topoisomerase action
20'
C. Price
University of Iowa, Iowa City, USA
16:10
16:20
Break
10'
16:20
16:40
Spherical structures on torus knots and links
20'
A. Kolpakov
Novosibirsk State University, Novosibirsk, Russian Federation
16:40
16:50
Break
10'
16:50
17:10
Legendrian knots and contact lens spaces
20'
J. Licata
Stanford University, Stanford CA, USA
17:10
17:15
Break
05'
17:15
17:35
Gene Rearrangements via Assembly Graphs
20'
A. Angeleska
University of South Florida, Tampa FL, USA
17:35
18:30
POSTER SESSION
55'
Friday, 29 May 2009

Room: Leonardo da Vinci Building Main Lecture Hall

09:00
09:50
Hyperbolic volume, L^2-torsion and homology growth
50'
T. Le
Georgia Institute of Technology, Atlanta GA, USA
09:50
10:10
Coffee break
20'
10:10
11:00
Doubly periodic textile patterns
50'
H. Morton
The University of Liverpool, Liverpool, UK
11:00
11:10
Break
10'
11:10
12:00
A survey of methods for detecting non-reversibility of knots
50'
M. Thistlethwaite
The University of Tennessee, Knoxville TN, USA
12:00
14:00
Lunch break
02h00'
14:00
14:40
Frobenius Modules and Essential Surface Cobordisms
40'
M. Saito
University of South Florida, Tampa FL, USA
14:40
14:50
Break
10'
14:50
15:40
Free Knots, Gauss Words, and Their Cobordisms
50'
V.O. Manturov
Moscow State University, Moscow, Russian Federation
15:40
15:50
Break
10'
SESSION 1

Room: Leonardo da Vinci Building Main Lecture Hall

29 May 2009
15:50
16:10
Graph-Links: the Kauffman bracket, the Jones polynomial, and theorems of minimality
20'
D.P. Ilyutko
Moscow State University, Moscow, Russian Federation
16:10
16:20
Break
10'
16:20
16:40
On Virtual Crossing Number Estimates For Virtual Links and Long Virtual Knots
20'
D. Afanasyev
Moscow State University, Moscow, Russian Federation
16:40
16:50
Break
10'
16:50
17:10
Circle systems of graph-links
20'
I. Nikonov
Moscow State University, Moscow, Russian Federation
17:10
18:00
POSTER SESSION
50'
SESSION 2

Room: Leonardo da Vinci Building Euler Lecture Hall

29 May 2009
15:50
16:10
Twisted Alexander polynomial of links in the projective space
20'
Vu Huynh
National University of Ho Chi Minh, Ho Chi Minh City, Viet Nam
16:10
16:20
Break
10'
16:20
16:40
RiG: Racks in GAP
20'
L. Vendramin
University of Buenos Aires, Buenos Aires, Argentina
16:40
16:50
Break
10'
16:50
17:10
An invariant from knot group and the unknotting number
20'
Zhiqing Yang
Dalian University of Technology, Dalian, People's Republic of China
17:10
17:15
Break
05'
17:15
17:35
Reductions of diagrams, S-graphs and braid index of links
20'
L. Plachta
Academy of Sciences of Ukraine, Lviv, Ukraine
17:35
18:00
POSTER SESSION
25'
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