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Workshop

Research Workshop: Homology Theories of Knots and Links March 15, 2010 - March 19, 2010
Registration Deadline: February 15, 2010 over 13 years ago
To apply for Funding you must register by: December 15, 2009 over 13 years ago
Parent Program:
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 Show All Collapse

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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.

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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Mar 15, 2010
Monday
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
Tuesday
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
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 (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
Thursday
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
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)