KNOTS in Poland III

Conference on Knot Theory and its Ramifications
Stefan Banach International Mathematical Center (POLAND)
July 18 - 24, 2010 (Warsaw) — July 25 - August 4, 2010 (Będlewo)

Program:

A workshop and a conference are addressed to all mathematicians who are interested in knot theory. This discipline has rapidly expanded after the discovery, by V.F.R. Jones, of a new and powerful invariant of links and culminated in discovery of Khovanov homology and Heegaard Floer homology.

A brief description of the topics:

There have been exciting new developments in the area of Knot Theory and 3-manifold topology in recent years. These include Thurston’s work on geometric structures on 3-manifolds, Jones work on invariants of links in S3 and development in the theory of invariants of 3- manifolds based on Jones and Vassiliev type invariants of links. Jones’ and Thurston’s ideas are connected by the path: Hyperbolic structures, PSL(2,C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman bracket skein module), and quantum invariants of 3-manifolds. Finally, a new development in knot theory has emerged in the form of “Khovanov homology” categorification of the Jones polynomial. We would like to cover all these exciting topics.

Organizing Committee:

1. J.H. Przytycki (George Washington University, Washington, USA)
2. P. Traczyk (Warsaw University, Poland)

Program Committee:

1. Anna Beliakova, UZH, Switzerland,
2. Charles Frohman, University of Iowa, USA
3. Cameron Gordon, University of Texas, Austin, USA,
4. Vaughan F. R. Jones, University of California, Berkeley, USA,
5. Efstratia Kalfagianni, Michigan State University, USA,
6. Joanna Kania-Bartoszyńska (National Science Foundation, USA),
7. Louis H. Kauffman, University of Illinois at Chicago, USA,
8. Mikhail Khovanov, Columbia University, USA,
9. Ruth Lawrence, Hebrew University, Israel,
10. Tomasz Mrowka, MIT, USA,
11. Hugh Morton, University of Liverpool, England,
12. Kunio Murasugi, University of Toronto, Canada,
13. Dale Rolfsen, University of British Columbia, Canada.

Topics include:

1. Quantum and finite type invariants of knots and 3-manifolds,
2. Algebraic topology based on knots (e.g. skein modules),
3. Symmetries of links,
4. Link invariants and partition functions of statistical mechanics,
5. Links with coinciding polynomial invariants,
6. Virtual Knot Theory,
7. Quandles and their homology,
8. Khovanov homology of links,
9. Heegaard Floer homology,
10. Applications of the knot theory.

We expect to be able to cover living expenses (including housing) for a limited number of participants. We will not be able to cover any travel expenses. We particularly encourage Ph.D. students interested in starting research related to knot theory to apply. All are welcome to participate.

Financial support:

1. Banach Center - July 18 - 24, 2010 - pending approval,
2. Banach Center - July 25 - August 4 - approved,
3. MNiSW grant N N201 387034 (POLAND) - July 18 - August 4, 2010 - approved,
4. Warsaw University - July 18 - August 4, 2010 - pending approval
5. NSF (USA) - application planned (meant for USA based participants)
6. update April 10: NSF grant to support US based participant is already recommended.

Registration/Application form:

knotpol2010form.rtf

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Deadlines for support applications

Applications for financial support will be accepted until April 15th.

Late applications for financial support WILL be accepted if funds permit.

Deadline for applications for financial support from NSF: TBA, if and when our application to NSF proves succesful.

Abstracts

Submit your abstract at http://atlas-conferences.com/cgi-bin/abstract/submit/cbam-01

View abstracts at http://atlas-conferences.com/cgi-bin/abstract/cbam-01

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