# Mathematical Sciences Research Institute

Home » Research Workshop: Homology Theories of Knots and Links

# Workshop

Research Workshop: Homology Theories of Knots and Links March 15, 2010 - March 19, 2010
Parent Program: Homology Theories of Knots and Links
Organizers Peter S. Ozsváth* (Columbia University), Mikhail Khovanov (Columbia University), Peter Teichner (UC Berkeley).
Speaker(s)

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Description
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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

## Show Lodging

A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is \$129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short Term Housing

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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Mar 15, 2010
Monday
 09:30 AM - 10:30 AM A 2-category associated with a holomorphic symplectic manifold Tim Perutz 11:00 AM - 12:00 PM Categorification of coloured Jones and 3j-symbols Catharina Stroppel (Hausdorff Research Institute for Mathematics, University of Bonn) 02:00 PM - 03:00 PM A categorification of quantum sl2 Aaron Lauda (University of Southern California) 03:30 PM - 04:30 PM The diagrammatic Soergel category and sl(N)-foams Pedro Vaz
Mar 16, 2010
Tuesday
 09:30 AM - 10:30 AM Hochschild homology via time dilation Robert Lipshitz (Columbia University) 11:00 AM - 12:00 PM The lens space realization problem Joshua Greene 02:00 PM - 03:00 PM Topological approach to Heegaard Floer homology I András Stipsicz 03:30 PM - 04:30 PM A topological approach to Heegaard Floer homology, II Zoltan Szabo
Mar 17, 2010
Wednesday
 09:30 AM - 10:30 AM Topological Quantum Information, Khovanov Homology and the Jones Polynomial Louis Kauffman (University of Illinois at Chicago) 11:00 AM - 12:00 PM Categorification of quantum groups and quantum knot invariants Benjamin Webster 02:00 PM - 03:00 PM Holomorphic triangles and maps induced by contact structures Jacob Rasmussen 03:30 PM - 04:30 PM Lagrangian correspondences and invariants for 3-manifolds with boundary Tim Perutz
Mar 18, 2010
Thursday
 09:30 AM - 10:30 AM A combinatorial approach to Heegaard Floer invariants Ciprian Manolescu 11:00 AM - 12:00 PM Sutured Floer homology and minimal genus Seifert surfaces Sucharit Sarkar 01:00 PM - 02:00 PM Comultiplication in link Floer homology and transversely non-simple links John Baldwin 02:30 PM - 03:30 PM The Unoriented Skein Relation for Instanton Knot Floer homology Tomasz Mrowka (Massachusetts Institute of Technology)
Mar 19, 2010
Friday
 09:30 AM - 10:30 AM Fukaya categories of symmetric products and bordered Heegaard-Floer homology Denis Auroux (University of California, Berkeley) 11:00 AM - 12:00 PM On sutured Khovanov homology and sutured Floer homology Eli Grigsby 02:00 PM - 03:00 PM "Filtered Seiberg-Witten Floer homologies with "almost harmonic" perturbations Yi-Jen Lee (Chinese University of Hong Kong) 03:30 PM - 04:30 PM From Khovanov homology to instanton homology for knots Peter Kronheimer (Harvard University)