Advanced School and Conference on Knot Theory and its Applications to Physics and Biology

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

Conference Photo.jpg FoxCalculus Kauffman notes.pdf Khovanov lecture notes Lomonaco Handout.pdf MortonLecturenotes QuickTrip Throught Knot Theory Vassiliev invariants references.doc Vassiliev invariants references.pdf View list of Abstracts Web references.doc Web references.pdf announcement

Advanced School and Conference on Knot Theory and its Applications to Physics and Biology | (smr 2034)

Go to day

Monday, 11 May 2009

08:30 - 10:30 REGISTRATION AND ADMINISTRATIVE FORMALITIES

Location: Leonardo da Vinci Building, Lobby
- 08:30 REGISTRATION AND ADMINISTRATIVE FORMALITIES 2h0'
10:30 - 11:00 Opening
- 10:30 Opening 30'
  
  Speaker: Le Dung Trang (ICTP, Trieste, Italy)

11:00 - 12:00 Introductory talk on Knot Theory

11:00 Introductory talk on Knot Theory 1h0'

Speaker:	S. Lambropoulou (National Technical University, Athens, Greece)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Combinatorial knot theory, bracket polynomial, Khovanov homology

14:00 Combinatorial knot theory, bracket polynomial, Khovanov homology 1h0'

Speaker:	L.H. Kauffman (University of Illinois at Chicago, Chicago, USA)
Material:	lecture notes

15:00 - 15:15 Coffee break
- 15:00 Coffee break 15'

15:15 - 16:15 Quantum computing and quantum knots

15:15 Quantum computing and quantum knots 1h0'

Speaker:	S. Lomonaco (University of Maryland Baltimore County, Baltimore, USA)
Material:	lecture notes

16:15 - 16:20 Break
- 16:15 Break 5'

16:20 - 17:20 Physical knot theory

16:20 Physical knot theory 1h0'

Speaker:	C.K. Millett (University of California at Santa Barbara, Santa Barbara, USA)
Material:	lecture notes

Tuesday, 12 May 2009

08:30 - 09:30 Basic knot theory, quantum invariants, cabling

08:30 Basic knot theory, quantum invariants, cabling 1h0'

Speaker:	H. Morton (The University of Liverpool, Liverpool, UK)
Material:	lecture notes

09:30 - 09:45 Break
- 09:30 Break 15'

09:45 - 10:45 Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules

09:45 Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules 1h0'

Speaker:	J.H. Przytycki (The George Washington University, Washington DC, USA)
Material:	lecture notes

10:45 - 11:00 Break
- 10:45 Break 15'

11:00 - 12:00 Tangles, braids, knots in 3-manifolds

11:00 Tangles, braids, knots in 3-manifolds 1h0'

Speaker:	S. Lambropoulou (National Technical University, Athens, Greece)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Combinatorial knot theory, bracket polynomial, Khovanov homology

14:00 Combinatorial knot theory, bracket polynomial, Khovanov homology 1h0'

Speaker:	L.H. Kauffman (University of Illinois at Chicago, Chicago, USA)
Material:	lecture notes

15:00 - 15:10 Coffee break
- 15:00 Coffee break 10'

15:10 - 16:10 Quantum computing and quantum knots

15:10 Quantum computing and quantum knots 1h0'

Speaker:	S. Lomonaco (University of Maryland Baltimore County, Baltimore, USA)
Material:	lecture notes

16:10 - 16:15 Break
- 16:10 Break 5'

16:15 - 17:15 Physical knot theory

16:15 Physical knot theory 1h0'

Speaker:	C.K. Millett (University of California at Santa Barbara, Santa Barbara, USA)
Material:	lecture notes

Wednesday, 13 May 2009

08:30 - 09:30 Basic knot theory, quantum invariants, cabling
- 08:30 Basic knot theory, quantum invariants, cabling 1h0'
  
  Speaker: H. Morton (The University of Liverpool, Liverpool, UK)
09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'

09:45 - 10:45 Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules

09:45 Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules 1h0'

Speaker:	J.H. Przytycki (The George Washington University, Washington DC, USA)
Material:	lecture notes

10:45 - 11:00 Break
- 10:45 Break 15'

11:00 - 12:00 Tangles, braids, knots in 3-manifolds

11:00 Tangles, braids, knots in 3-manifolds 1h0'

Speaker:	S. Lambropoulou (National Technical University, Athens, Greece)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Combinatorial knot theory, bracket polynomial, Khovanov homology

14:00 Combinatorial knot theory, bracket polynomial, Khovanov homology 1h0'

Speaker:	L.H. Kauffman (University of Illinois at Chicago, Chicago, USA)
Material:	lecture notes

15:00 - 15:10 Break
- 15:00 Break 10'

15:10 - 16:10 Quantum computing and quantum knots

15:10 Quantum computing and quantum knots 1h0'

Speaker:	S. Lomonaco (University of Maryland Baltimore County, Baltimore, USA)
Material:	lecture notes

16:10 - 16:15 Break
- 16:10 Break 5'

16:15 - 17:15 Physical knot theory

16:15 Physical knot theory 1h0'

Speaker:	C.K. Millett (University of California at Santa Barbara, Santa Barbara, USA)
Material:	lecture notes

Thursday, 14 May 2009

08:30 - 09:30 Basic knot theory, quantum invariants, cabling
- 08:30 Basic knot theory, quantum invariants, cabling 1h0'
  
  Speaker: H. Morton (The University of Liverpool, Liverpool, UK)
09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'

09:45 - 10:45 Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules

09:45 Fox coloring, Burnside groups, skein modules, Khovanov categorification of skein modules 1h0'

Speaker:	J.H. Przytycki (The George Washington University, Washington DC, USA)
Material:	lecture notes

10:45 - 11:00 Break
- 10:45 Break 15'

11:00 - 12:00 Knots, computers, conjectures

11:00 Knots, computers, conjectures 1h0'

Speaker:	S. Jablan (Mathematical Institute Sanu, Belgrade, Republic of Serbia)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Vassiliev invariants

14:00 Vassiliev invariants 1h0'

Speaker:	S. V. Chmutov (Ohio State University, Mansfield, USA)
Material:	lecture notes

15:00 - 15:10 Break
- 15:00 Break 10'

15:10 - 16:10 Knots, computers, conjectures

15:10 Knots, computers, conjectures 1h0'

Speaker:	S. Jablan (Mathematical Institute Sanu, Belgrade, Republic of Serbia)
Material:	lecture notes

16:10 - 16:15 Break
- 16:10 Break 5'

16:15 - 17:15 Virtual knots, knot combinatorics, free links and graph links

16:15 Virtual knots, knot combinatorics, free links and graph links 1h0'

Speaker:	V.O. Manturov (Moscow State University, Moscow, Russian Federation)
Material:	lecture notes

Friday, 15 May 2009

08:30 - 09:30 Vassiliev invariants
- 08:30 Vassiliev invariants 1h0'
  
  Speaker: S. V. Chmutov (Ohio State University, Mansfield, USA)
09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'

09:45 - 10:45 Free links and 4-graphs

09:45 Free links and 4-graphs 1h0'

Speaker:	V.O. Manturov (Moscow State University, Moscow, Russian Federation)
Material:	lecture notes

10:45 - 11:00 Break
- 10:45 Break 15'

11:00 - 12:00 Knots, computers, conjectures

11:00 Knots, computers, conjectures 1h0'

Speaker:	S. Jablan (Mathematical Institute Sanu, Belgrade, Republic of Serbia)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 15:00 Vassiliev invariants
- 14:00 Vassiliev invariants 1h0'
  
  Speaker: S. V. Chmutov (Ohio State University, Mansfield, USA)
15:00 - 15:10 Break
- 15:00 Break 10'

15:10 - 16:10 Graph-links (joint work with Dr. P.D. Ilyutko)

15:10 Graph-links (joint work with Dr. P.D. Ilyutko) 1h0'

Speaker:	V.O. Manturov (Moscow State University, Moscow, Russian Federation)
Material:	joint work with Ilyutko lecture notes

16:10 - 17:15 OPEN DISCUSSION
- 16:10 OPEN DISCUSSION 1h5'

Saturday, 16 May 2009
- 15:00 - 18:00 WORKSHOP ON "COMBINATORICS OF KNOTS AND VIRTUAL KNOT THEORY"
  
  Location: Adriatico Guest House Kastler Lecture Hall
  - 15:00 WORKSHOP ON "COMBINATORICS OF KNOTS AND VIRTUAL KNOT THEORY" 3h0'
    
    Speaker: V.O. Manturov and D.P. Ilyutko (Moscow State University, Moscow, Russian Federation)

Monday, 18 May 2009

08:30 - 09:30 Physical knots

08:30 Physical knots 1h0'

Speaker:	E. Rawdon (University St. Thomas, Saint Paul MN, USA)
Material:	lecture notes

09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'
09:45 - 10:45 Combinatorial knot theory, bracket polynomial, Khovanov homology
- 09:45 Combinatorial knot theory, bracket polynomial, Khovanov homology 1h0'
  
  Speaker: L.H. Kauffman (University of Illinois at Chicago, Chicago, USA)
10:45 - 11:00 Break
- 10:45 Break 15'
11:00 - 12:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
- 11:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra) 1h0'
  
  Speaker: D. Bar-Natan (University of Toronto, Toronto, Canada)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Link homology

14:00 Link homology 1h0'

Speaker:	M. Khovanov (Columbia University, New York, USA)
Material:	lecture notes

15:00 - 15:10 Break
- 15:00 Break 10'
15:10 - 16:10 Knot Floer homology
- 15:10 Knot Floer homology 1h0'
  
  Speaker: P. Ozsvath (Columbia University, New York, USA)
16:10 - 16:15 Break
- 16:10 Break 5'

16:15 - 17:15 DNA and knots

16:15 DNA and knots 1h0'

Speaker:	D. Buck (Imperial College London, London, UK)
Material:	lecture notes

Tuesday, 19 May 2009

08:30 - 09:30 Physical knots

08:30 Physical knots 1h0'

Speaker:	E. Rawdon (University St. Thomas, Saint Paul MN, USA)
Material:	lecture notes

09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'

09:45 - 10:45 3-manifolds and knots

09:45 3-manifolds and knots 1h0'

Speaker:	C. Gordon (The University of Texas at Austin, Austin, USA)
Material:	lecture notes

10:45 - 11:00 Break
- 10:45 Break 15'
11:00 - 12:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
- 11:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra) 1h0'
  
  Speaker: D. Bar-Natan (University of Toronto, Toronto, Canada)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 15:00 Link homology
- 14:00 Link homology 1h0'
  
  Speaker: M. Khovanov (Columbia University, New York, USA)
15:00 - 15:10 Break
- 15:00 Break 10'
15:10 - 16:10 Knot Floer homology
- 15:10 Knot Floer homology 1h0'
  
  Speaker: P. Ozsvath (Columbia University, New York, USA)
16:10 - 16:15 Break
- 16:10 Break 5'
16:15 - 17:15 DNA and knots
- 16:15 DNA and knots 1h0'
  
  Speaker: D. Buck (Imperial College London, London, UK)
19:00 - 22:00 RECEPTION AT ADRIATICO GUEST HOUSE - TERRACE (weather permitting) or AT ADRIATICO CAFETERIA
- 19:00 RECEPTION AT ADRIATICO GUEST HOUSE - TERRACE (weather permitting) or AT ADRIATICO CAFETERIA 3h0'

Wednesday, 20 May 2009

08:30 - 09:30 Basic knot theory, fundamental group, rack, birack

08:30 Basic knot theory, fundamental group, rack, birack 1h0'

Speaker:	R. Fenn (University of Sussex, Falmer, Brighton, UK)
Material:	lecture notes

09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'
09:45 - 10:45 3-manifolds and knots
- 09:45 3-manifolds and knots 1h0'
  
  Speaker: C. Gordon (The University of Texas at Austin, Austin, USA)
10:45 - 11:00 Break
- 10:45 Break 15'
11:00 - 12:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
- 11:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra) 1h0'
  
  Speaker: D. Bar-Natan (University of Toronto, Toronto, Canada)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 15:00 Link homology
- 14:00 Link homology 1h0'
  
  Speaker: M. Khovanov (Columbia University, New York, USA)
15:00 - 15:10 Break
- 15:00 Break 10'
15:10 - 16:10 Knot Floer homology
- 15:10 Knot Floer homology 1h0'
  
  Speaker: P. Ozsvath (Columbia University, New York, USA)
16:10 - 16:15 Break
- 16:10 Break 5'
16:15 - 17:15 Kontsevich integral and Goussarov's theorem
- 16:15 Kontsevich integral and Goussarov's theorem 1h0'
  
  Speaker: S.V. Chmutov (Ohio State University, Mansfield, USA)

Thursday, 21 May 2009
- 08:30 - 09:30 Basic knot theory, fundamental group, rack, birack
  - 08:30 Basic knot theory, fundamental group, rack, birack 1h0'
    
    Speaker: R. Fenn (University of Sussex, Falmer, Brighton, UK)
- 09:30 - 09:45 Coffee break
  - 09:30 Coffee break 15'
- 09:45 - 10:45 3-manifolds and knots
  - 09:45 3-manifolds and knots 1h0'
    
    Speaker: C. Gordon (The University of Texas at Austin, Austin, USA)
- 10:45 - 11:00 Break
  - 10:45 Break 15'
- 11:00 - 12:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra)
  - 11:00 (u, v, and w knots) x (topology, combinatorics, low algebra, and high algebra) 1h0'
    
    Speaker: D. Bar-Natan (University of Toronto, Toronto, Canada)
- 12:00 - 14:00 Lunch break
  - 12:00 Lunch break 2h0'
- 14:00 - 15:00 Link homology
  - 14:00 Link homology 1h0'
    
    Speaker: M. Khovanov (Columbia University, New York, USA)
- 15:00 - 15:10 Break
  - 15:00 Break 10'
- 15:10 - 16:10 Knot Floer homology
  - 15:10 Knot Floer homology 1h0'
    
    Speaker: P. Ozsvath (Columbia University, New York, USA)
- 16:10 - 16:15 Break
  - 16:10 Break 5'
- 16:15 - 17:15 Topological quantum information theory
  - 16:15 Topological quantum information theory 1h0'
    
    Speaker: L.H. Kauffman (University of Illinois at Chicago, Chicago, USA)

Friday, 22 May 2009

08:30 - 09:30 Basic knot theory, fundamental group, rack, birack
- 08:30 Basic knot theory, fundamental group, rack, birack 1h0'
  
  Speaker: R. Fenn (University of Sussex, Falmer, Brighton, UK)
09:30 - 09:45 Coffee break
- 09:30 Coffee break 15'

09:45 - 10:45 Knots, graphs and chemistry

09:45 Knots, graphs and chemistry 1h0'

Speaker:	E. Flapan (Pomona College, Claremont CA, USA)
Material:	lecture notes

10:45 - 11:00 Break
- 10:45 Break 15'

11:00 - 12:00 Physical knot theory

11:00 Physical knot theory 1h0'

Speaker:	J. Cantarella (University of Georgia, Athens GA, USA)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 15:00 Physical knot theory

14:00 Physical knot theory 1h0'

Speaker:	J. Cantarella (University of Georgia, Athens GA, USA)
Material:	lecture notes

15:00 - 15:10 Break
- 15:00 Break 10'
15:10 - 16:10 Knots, graphs and chemistry
- 15:10 Knots, graphs and chemistry 1h0'
  
  Speaker: E. Flapan (Pomona College, Claremont CA, USA)
16:10 - 16:15 Break
- 16:10 Break 5'
16:15 - 16:45 Holomorphic dynamics of knots
- 16:15 Holomorphic dynamics of knots 30'
  
  Speaker: G.N. Khimshiashvili (Georgian Academy of Sciences, Tbilisi, Georgia)
16:45 - 17:30 OPEN DISCUSSION
- 16:45 OPEN DISCUSSION 45'

Monday, 25 May 2009
- 08:30 - 09:00 Registration of the Participants
  - 08:30 Registration of the Participants 30'
- 09:00 - 09:50 Convolutions on Lie Groups and Lie Algebras and Ribbon 2-Knots
  - 09:00 Convolutions on Lie Groups and Lie Algebras and Ribbon 2-Knots 50'
    
    Speaker: D. Bar-Natan (University of Toronto, Toronto, Canada)
- 09:50 - 10:10 Coffee break
  - 09:50 Coffee break 20'
- 10:10 - 11:00 Sections of fiber bundles over surfaces and TQFTs
  - 10:10 Sections of fiber bundles over surfaces and TQFTs 50'
    
    Speaker: V. Turaev (University of Zurich, Zurich, Switzerland)
- 11:00 - 11:10 Break
  - 11:00 Break 10'
- 11:10 - 12:00 Categorification of the Hecke algebra
  - 11:10 Categorification of the Hecke algebra 50'
    
    Speaker: M. Khovanov (Columbia University, New York, USA)
- 12:00 - 14:00 Lunch break
  - 12:00 Lunch break 2h0'
- 14:00 - 14:50 On quantum knot and 3-manifold invariants
  - 14:00 On quantum knot and 3-manifold invariants 50'
    
    Speaker: R. Lawrence (Einstein Institute of Mathematics, Jerusalem, Israel)
- 14:50 - 15:10 Break
  - 14:50 Break 20'
- 15:10 - 16:00 Three Knotty Tales: complementary regions, spiral index and spanning surfaces for alternating knots
  - 15:10 Three Knotty Tales: complementary regions, spiral index and spanning surfaces for alternating knots 50'
    
    Speaker: C. Adams (Bronfman Science Center, Williams College, Williamstown MA, USA)
- 16:00 - 16:10 Break
  - 16:00 Break 10'
- 16:10 - 16:40 Tutte and Jones polynomials of link families
  - 16:10 Tutte and Jones polynomials of link families 30'
    
    Speaker: S. Jablan (Mathematical Institute Sanu, Belgrade, Republic of Serbia)
- 16:40 - 16:45 Break
  - 16:40 Break 5'
- 16:45 - 17:05 Categorification of orthogonal polynomials
  - 16:45 Categorification of orthogonal polynomials 20'
    
    Speaker: R. Sazdanovic (The George Washington University, Washington DC, USA)
- 17:05 - 17:10 Break
  - 17:05 Break 5'
- 17:10 - 17:30 Quantum invariants of random Heegaard splittings
  - 17:10 Quantum invariants of random Heegaard splittings 20'
    
    Speaker: H. Wong (Bowdoin College, Brunswick, USA)
- 17:30 - 18:30 POSTER SESSION
  - 17:30 POSTER SESSION 1h0'

Tuesday, 26 May 2009

09:00 - 09:50 Topology bounds the energy of knots and links
- 09:00 Topology bounds the energy of knots and links 50'
  
  Speaker: R.L. Ricca (University of Milano-Bicocca, Milano, Italy)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'
10:10 - 11:00 Knots and slipknots in random walks and equilateral polygons
- 10:10 Knots and slipknots in random walks and equilateral polygons 50'
  
  Speaker: K.C. Millett (University of California at Santa Barbara, Santa Barbara, USA)
11:00 - 11:10 Break
- 11:00 Break 10'
11:10 - 12:00 A unified quantum SO(3) invariant for rational homology 3-spheres
- 11:10 A unified quantum SO(3) invariant for rational homology 3-spheres 50'
  
  Speaker: A. Beliakova (University of Zurich, Zurich, Switzerland)
12:00 - 14:00 CONFERENCE PHOTO - Lunch break
- 12:00 CONFERENCE PHOTO - Lunch break 2h0'
14:00 - 14:40 Topological applications of quantum invariants
- 14:00 Topological applications of quantum invariants 40'
  
  Speaker: J. Kania-Bartoszynska (National Science Foundation, Arlington, USA)
14:00 - 14:40 Conformally invariant energies of knots and links

Location: Leonardo da Vinci Building Euler Lecture Hall
- 14:00 Conformally invariant energies of knots and links 40'
  
  Speaker: J. O'Hara (Tokyo Metropolitan University, Tokyo, Japan)
14:40 - 14:50 Break
- 14:40 Break 10'
14:40 - 14:50 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 14:40 Break 10'
14:50 - 15:30 Extending homeomorphisms from punctured surfaces to handlebodies
- 14:50 Extending homeomorphisms from punctured surfaces to handlebodies 40'
  
  Speaker: M. Mulazzani (University of Bologna, Bologna, Italy)
14:50 - 15:30 How to categorify dynamical zeta functions

Location: Leonardo da Vinci Building Euler Lecture Hall
- 14:50 How to categorify dynamical zeta functions 40'
  
  Speaker: A. Felshtyn (Boise State University, Boise, USA)
15:30 - 15:40 Break
- 15:30 Break 10'
15:30 - 15:40 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:30 Break 10'
15:40 - 16:00 An extension of the multivariable Alexander polynomial to tangles
- 15:40 An extension of the multivariable Alexander polynomial to tangles 20'
  
  Speaker: J. F. Archibald (University of Toronto, Toronto, Canada)
15:40 - 16:00 Intrinsically n-linked Spatial Graphs

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:40 Intrinsically n-linked Spatial Graphs 20'
  
  Speaker: D. O'Donnol (Rice University, Houston TX, USA)
16:00 - 16:10 Break
- 16:00 Break 10'
16:00 - 16:10 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:00 Break 10'

16:10 - 16:30 An extension of the Kontsevich integral to knotted trivalent graphs

16:10 An extension of the Kontsevich integral to knotted trivalent graphs 20'

Speaker:	Z. Dancso (University of Toronto, Toronto, Canada)
Material:	abstract

16:10 - 16:30 Cohomology reveals when helicity is a diffeomorphism invariant

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:10 Cohomology reveals when helicity is a diffeomorphism invariant 20'
  
  Speaker: J. Parsley (Wake Forest University, Winston-Salem, USA)
16:30 - 16:40 Break
- 16:30 Break 10'
16:30 - 16:40 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:30 Break 10'
16:40 - 17:00 Integrality property of the colored Jones Polynomial
- 16:40 Integrality property of the colored Jones Polynomial 20'
  
  Speaker: I. Buehler (University of Zurich, Zurich, Switzerland)
16:40 - 17:00 The linking number and the writhe of uniform random walks and polygons in confined spaces

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:40 The linking number and the writhe of uniform random walks and polygons in confined spaces 20'
  
  Speaker: E. Panagiotou (National Technical University, Athens, Greece)
17:00 - 17:10 Break
- 17:00 Break 10'
17:00 - 17:10 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:00 Break 10'

17:10 - 17:30 On the volume of a spherical octahedron with symmetries

17:10 On the volume of a spherical octahedron with symmetries 20'

Speaker:	N. Abrosimov (Sobolev Institute of Mathematics, Novosibirsk, Russian Federation)
Material:	conference abstract

17:10 - 17:30 Surfaces associated to a knotted space curve

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:10 Surfaces associated to a knotted space curve 20'
  
  Speaker: B. Jablonska (Technical University of Berlin, Berlin, Germany)
17:30 - 18:30 POSTER SESSION
- 17:30 POSTER SESSION 1h0'
17:30 - 18:30 POSTER SESSION

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:30 POSTER SESSION 1h0'

Wednesday, 27 May 2009

09:00 - 09:50 Unsolvable problems about higher-dimensional knot groups
- 09:00 Unsolvable problems about higher-dimensional knot groups 50'
  
  Speaker: C. Gordon (The University of Texas at Austin, Austin, USA)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'

10:10 - 11:00 Skein module motivation for Gram determinants of curves on surfaces

10:10 Skein module motivation for Gram determinants of curves on surfaces 50'

Speaker:	J.H. Przytycki (The George Washington University, Washington DC, USA)
Material:	lecture notes

11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 12:00 Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces

11:10 Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces 50'

Speaker:	J. S. Carter (University of South Alabama, Mobile AL, USA)
Material:	lecture notes

12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 14:40 Framed knots, singular knots and Yokonuma-Hecke algebras
- 14:00 Framed knots, singular knots and Yokonuma-Hecke algebras 40'
  
  Speaker: S. Lambropoulou (National Technical University, Athens, Greece)
14:40 - 14:50 Break
- 14:40 Break 10'
14:50 - 15:30 Tutte polynomial of graphs and Jones polynomial of virtual links
- 14:50 Tutte polynomial of graphs and Jones polynomial of virtual links 40'
  
  Speaker: S. V. Chmutov (Ohio State University, Mansfield, USA)
15:30 - 15:40 Break
- 15:30 Break 10'
15:40 - 16:20 Pure virtual braid groups and Lie algebras

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:40 Pure virtual braid groups and Lie algebras 40'
  
  Speaker: V. Vershinin (University of Montpellier II, Montpellier, France)
15:40 - 16:20 Distortion of Knots
- 15:40 Distortion of Knots 40'
  
  Speaker: J. M. Sullivan (Technical University of Berlin, Berlin, Germany)
16:20 - 16:30 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:20 Break 10'
16:20 - 16:30 Break
- 16:20 Break 10'
16:30 - 16:50 On vortex knots and unknots

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:30 On vortex knots and unknots 20'
  
  Speaker: F. Maggioni (University of Bergamo, Bergamo, Italy)
16:30 - 16:50 The Yokonuma-Temperley-Lieb algebras
- 16:30 The Yokonuma-Temperley-Lieb algebras 20'
  
  Speaker: D. Goundaroulis (National Technical University, Athens, Greece)
16:50 - 17:00 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:50 Break 10'
16:50 - 17:00 Break
- 16:50 Break 10'
17:00 - 17:20 A phenomenological approach to 2D Potts and 3D Ising models

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:00 A phenomenological approach to 2D Potts and 3D Ising models 20'
  
  Speaker: F. Canfora (Centro de Estudios Cientificos, Valdivia, Chile)
17:00 - 17:20 Kauffman Bracket Skein Module of the connected sum of two real projective spaces
- 17:00 Kauffman Bracket Skein Module of the connected sum of two real projective spaces 20'
  
  Speaker: M. Mroczkowski (University of Gdansk, Gdansk, Poland)
17:20 - 18:20 POSTER SESSION

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:20 POSTER SESSION 1h0'
17:20 - 18:20 POSTER SESSION
- 17:20 POSTER SESSION 1h0'

Thursday, 28 May 2009

09:00 - 09:50 Virtual knot theory and the Jones polynomial
- 09:00 Virtual knot theory and the Jones polynomial 50'
  
  Speaker: L.H. Kauffman (University of Illinois at Chicago, Chicago, USA)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'
10:10 - 11:00 An intuitive overview of the theory of quantum knots
- 10:10 An intuitive overview of the theory of quantum knots 50'
  
  Speaker: S.J. Lomonaco (University of Maryland Baltimore County, Baltimore, USA)
11:00 - 11:10 Break
- 11:00 Break 10'

11:10 - 11:30 Detection of Chirality and mutation of knots and links

11:10 Detection of Chirality and mutation of knots and links 20'

Speaker:	P. Ramadevi (Indian Institute of Technology, Mumbai, India)
Material:	conference abstract

11:30 - 11:40 Break
- 11:30 Break 10'
11:40 - 12:00 Exact sequences of pure braid groups: applications and generalizations
- 11:40 Exact sequences of pure braid groups: applications and generalizations 20'
  
  Speaker: P. Bellingeri (University of Basse Normandie, Caen, France)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'

14:00 - 14:50 Braid Order: History and Connection with Knots

14:00 Braid Order: History and Connection with Knots 50'

Speaker:	P. Dehornoy (University of Caen, Caen, France)
Material:	lecture notes

14:50 - 15:00 Break
- 14:50 Break 10'

15:00 - 15:20 Topologically Ordered States and their Hamiltonians

15:00 Topologically Ordered States and their Hamiltonians 20'

Speaker:	A. Protogenov (Institute of Applied Physics of the RAS, Nizhny Novgorod, Russian Federation)
Material:	slides

15:00 - 15:40 On some differential and symplectic geometric aspects of linking numbers

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:00 On some differential and symplectic geometric aspects of linking numbers 40'
  
  Speaker: M. Spera (University of Verona, Verona, Italy)
15:20 - 15:25 Break
- 15:20 Break 5'
15:25 - 15:45 Ribbon 2-knots, graded forests and rational knots
- 15:25 Ribbon 2-knots, graded forests and rational knots 20'
  
  Speaker: Pedro Lopes (Instituto Superior Tecnico, Lisbon, Portugal)
15:40 - 15:50 Break
- 15:40 Break 10'
15:40 - 15:50 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:40 Break 10'
15:50 - 16:10 Meridional number of a link in the solid torus and skein modules
- 15:50 Meridional number of a link in the solid torus and skein modules 20'
  
  Speaker: J. Malesic (University of Ljubljana, Ljubljana, Slovenia)
15:50 - 16:10 Solving Tangle Equations: An overview of the tangle model associated with site specific recombination and topoisomerase action

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:50 Solving Tangle Equations: An overview of the tangle model associated with site specific recombination and topoisomerase action 20'
  
  Speaker: C. Price (University of Iowa, Iowa City, USA)
16:10 - 16:20 Break
- 16:10 Break 10'
16:10 - 16:20 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:10 Break 10'
16:20 - 16:40 Groebner bases of braid monoids and normal forms of braids
- 16:20 Groebner bases of braid monoids and normal forms of braids 20'
  
  Speaker: Usman Ali (Abdus Salam School of Mathematical Sciences, Lahore, Pakistan)
16:20 - 16:40 Spherical structures on torus knots and links

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:20 Spherical structures on torus knots and links 20'
  
  Speaker: A. Kolpakov (Novosibirsk State University, Novosibirsk, Russian Federation)
16:40 - 16:50 Break
- 16:40 Break 10'
16:40 - 16:50 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:40 Break 10'
16:50 - 17:10 Growth of elements of Artin monoids
- 16:50 Growth of elements of Artin monoids 20'
  
  Speaker: Zaffar Iqbal (Abdus Salam School of Mathematical Sciences, Lahore, Pakistan)
16:50 - 17:10 Legendrian knots and contact lens spaces

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:50 Legendrian knots and contact lens spaces 20'
  
  Speaker: J. Licata (Stanford University, Stanford CA, USA)
17:10 - 17:15 Break
- 17:10 Break 5'
17:10 - 17:15 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:10 Break 5'
17:15 - 17:35 Recurrence Relations for Alexander Conway Polynomial
- 17:15 Recurrence Relations for Alexander Conway Polynomial 20'
  
  Speaker: Rehana Ashraf (Abdus Salam School of Mathematical Sciences, Lahore, Pakistan)
17:15 - 17:35 Gene Rearrangements via Assembly Graphs

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:15 Gene Rearrangements via Assembly Graphs 20'
  
  Speaker: A. Angeleska (University of South Florida, Tampa FL, USA)
17:35 - 18:30 POSTER SESSION
- 17:35 POSTER SESSION 55'
17:35 - 18:30 POSTER SESSION

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:35 POSTER SESSION 55'

Friday, 29 May 2009

09:00 - 09:50 Hyperbolic volume, L^2-torsion and homology growth
- 09:00 Hyperbolic volume, L^2-torsion and homology growth 50'
  
  Speaker: T. Le (Georgia Institute of Technology, Atlanta GA, USA)
09:50 - 10:10 Coffee break
- 09:50 Coffee break 20'
10:10 - 11:00 Doubly periodic textile patterns
- 10:10 Doubly periodic textile patterns 50'
  
  Speaker: H. Morton (The University of Liverpool, Liverpool, UK)
11:00 - 11:10 Break
- 11:00 Break 10'
11:10 - 12:00 A survey of methods for detecting non-reversibility of knots
- 11:10 A survey of methods for detecting non-reversibility of knots 50'
  
  Speaker: M. Thistlethwaite (The University of Tennessee, Knoxville TN, USA)
12:00 - 14:00 Lunch break
- 12:00 Lunch break 2h0'
14:00 - 14:40 Frobenius Modules and Essential Surface Cobordisms
- 14:00 Frobenius Modules and Essential Surface Cobordisms 40'
  
  Speaker: M. Saito (University of South Florida, Tampa FL, USA)
14:40 - 14:50 Break
- 14:40 Break 10'

14:50 - 15:40 Free Knots, Gauss Words, and Their Cobordisms

14:50 Free Knots, Gauss Words, and Their Cobordisms 50'

Speaker:	V.O. Manturov (Moscow State University, Moscow, Russian Federation)
Material:	lecture notes

15:40 - 15:50 Break
- 15:40 Break 10'
15:50 - 16:10 Graph-Links: the Kauffman bracket, the Jones polynomial, and theorems of minimality
- 15:50 Graph-Links: the Kauffman bracket, the Jones polynomial, and theorems of minimality 20'
  
  Speaker: D.P. Ilyutko (Moscow State University, Moscow, Russian Federation)
15:50 - 16:10 Twisted Alexander polynomial of links in the projective space

Location: Leonardo da Vinci Building Euler Lecture Hall
- 15:50 Twisted Alexander polynomial of links in the projective space 20'
  
  Speaker: Vu Huynh (National University of Ho Chi Minh, Ho Chi Minh City, Viet Nam)
16:10 - 16:20 Break
- 16:10 Break 10'
16:10 - 16:20 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:10 Break 10'
16:20 - 16:40 On Virtual Crossing Number Estimates For Virtual Links and Long Virtual Knots
- 16:20 On Virtual Crossing Number Estimates For Virtual Links and Long Virtual Knots 20'
  
  Speaker: D. Afanasyev (Moscow State University, Moscow, Russian Federation)

16:20 - 16:40 RiG: Racks in GAP

Location:

Leonardo da Vinci Building Euler Lecture Hall

16:20 RiG: Racks in GAP 20'

Speaker:	L. Vendramin (University of Buenos Aires, Buenos Aires, Argentina)
Material:	slides

16:40 - 16:50 Break
- 16:40 Break 10'
16:40 - 16:50 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:40 Break 10'
16:50 - 17:10 Circle systems of graph-links
- 16:50 Circle systems of graph-links 20'
  
  Speaker: I. Nikonov (Moscow State University, Moscow, Russian Federation)
16:50 - 17:10 An invariant from knot group and the unknotting number

Location: Leonardo da Vinci Building Euler Lecture Hall
- 16:50 An invariant from knot group and the unknotting number 20'
  
  Speaker: Zhiqing Yang (Dalian University of Technology, Dalian, People's Republic of China)
17:10 - 17:15 Break

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:10 Break 5'
17:10 - 18:00 POSTER SESSION
- 17:10 POSTER SESSION 50'
17:15 - 17:35 Reductions of diagrams, S-graphs and braid index of links

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:15 Reductions of diagrams, S-graphs and braid index of links 20'
  
  Speaker: L. Plachta (Academy of Sciences of Ukraine, Lviv, Ukraine)
17:35 - 18:00 POSTER SESSION

Location: Leonardo da Vinci Building Euler Lecture Hall
- 17:35 POSTER SESSION 25'