Home /  Research Workshop: Homology Theories of Knots and Links


Research Workshop: Homology Theories of Knots and Links March 15, 2010 - March 19, 2010
Registration Deadline: February 15, 2010 over 14 years ago
To apply for Funding you must register by: December 15, 2009 over 14 years ago
Parent Program:
Organizers Peter S. Ozsváth* (Columbia University), Mikhail Khovanov (Columbia University), Peter Teichner (UC Berkeley).

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

Students, recent PhDs, 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.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 15, 2010
09:30 AM - 10:30 AM
  A 2-category associated with a holomorphic symplectic manifold
Tim Perutz (University of Texas, Austin)
11:00 AM - 12:00 PM
  Categorification of coloured Jones and 3j-symbols
Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität 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
09:30 AM - 10:30 AM
  Hochschild homology via time dilation
Robert Lipshitz (University of Oregon)
11:00 AM - 12:00 PM
  The lens space realization problem
Joshua Greene (Boston College)
02:00 PM - 03:00 PM
  Topological approach to Heegaard Floer homology I
Andras Stipsicz (Alfréd Rényi Institute of Mathematics)
03:30 PM - 04:30 PM
  A topological approach to Heegaard Floer homology, II
Zoltan Szabo
Mar 17, 2010
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 (University of Waterloo)
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 (University of Texas, Austin)
Mar 18, 2010
09:30 AM - 10:30 AM
  A combinatorial approach to Heegaard Floer invariants
Ciprian Manolescu (Stanford University)
11:00 AM - 12:00 PM
  Sutured Floer homology and minimal genus Seifert surfaces
Sucharit Sarkar (University of California, Los Angeles)
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
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)