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Research Workshop: Homology Theories of Knots and Links
Mar 15, 2010 to Mar 19, 2010

Organizer(s)

Peter S. Ozsváth* (Columbia University), Mikhail Khovanov (Columbia University), Peter Teichner (UC Berkeley).
To apply for funding, you must register by Fri, Dec 11 2009.
Categorification and low-dimensional topology

Link homology is a young and rapidly-developing area drawing on many branches of mathematics. The subject has its roots in
representation theory, and it has benefitted from its interactions with low-dimensional, classical, and quantum topology and symplectic geometry. Indeed, several recent developments have underscored the close parallels between link homology and Floer homological invariants for low-dimensional manifolds.

The aim of this conference will be to study recent advances in categorification, link homology, Heegaard Floer homology, and gauge theory. We will also focus on the interactions of these tools with low-dimensional topology, including knot theory and contact geometry.




Accomodations:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.
The cut-off date for reservations is February 26, 2010.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: MSRIRESEARCHHOMOLOGY. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is February 16, 2010. The rate is $139 per night plus tax.


New, completely renovated Hotel Shattuck Plaza has rooms available for you!
MSRI’s preferred rate is $131. Guests can either call the hotel’s main line, 510-845-7300, and ask for the MSRI rate or go to http://www.hotelshattuckplaza.com, click on "Corporate Rates" in the reservation screen and type the code msri09.

Funding

To apply for funding, you must register by Fri, Dec 11 2009. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Monday, March 15, 2010
9:30AM - 10:30AM Tim Perutz A 2-category associated with a holomorphic symplectic manifold [Video available]
11:00AM - 12:00PM Catharina Stroppel Categorification of coloured Jones and 3j-symbols [Video available]
2:00PM - 3:00PM Aaron Lauda A categorification of quantum sl2 [Video available]
3:30PM - 4:30PM Pedro Vaz The diagrammatic Soergel category and sl(N)-foams [Video available]
Tuesday, March 16, 2010
9:30AM - 10:30AM Robert Lipshitz Hochschild homology via time dilation [Video available]
11:00AM - 12:00PM Joshua Greene The lens space realization problem [Video available]
2:00PM - 3:00PM András Stipsicz Topological approach to Heegaard Floer homology I [Video available]
3:30PM - 4:30PM Zoltan Szabo A topological approach to Heegaard Floer homology, II [Video available]
Wednesday, March 17, 2010
9:30AM - 10:30AM Louis Kauffman Topological Quantum Information, Khovanov Homology and the Jones Polynomial [Video available]
11:00AM - 12:00PM Benjamin Webster Categorification of quantum groups and quantum knot invariants [Video available]
2:00PM - 3:00PM Jacob Rasmussen Holomorphic triangles and maps induced by contact structures [Video available]
3:30PM - 4:30PM Tim Perutz Lagrangian correspondences and invariants for 3-manifolds with boundary [Video available]
Thursday, March 18, 2010
9:30AM - 10:30AM Ciprian Manolescu A combinatorial approach to Heegaard Floer invariants [Video available]
11:00AM - 12:00PM Sucharit Sarkar Sutured Floer homology and minimal genus Seifert surfaces [Video available]
1:00PM - 2:00PM , John Baldwin, John Baldwin Comultiplication in link Floer homology and transversely non-simple links
2:30PM - 3:30PM Tomasz Mrowka The Unoriented Skein Relation for Instanton Knot Floer homology [Video available]
Friday, March 19, 2010
9:30AM - 10:30AM Denis Auroux Fukaya categories of symmetric products and bordered Heegaard-Floer homology [Video available]
11:00AM - 12:00PM Eli Grigsby On sutured Khovanov homology and sutured Floer homology [Video available]
2:00PM - 3:00PM Yi-Jen Lee "Filtered Seiberg-Witten Floer homologies with "almost harmonic" perturbations [Video available]
3:30PM - 4:30PM Peter Kronheimer From Khovanov homology to instanton homology for knots [Video available]


Questions about this workshop should be sent either by email to
or by regular mail to:
Research Workshop: Homology Theories of Knots and Links
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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