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Workshop

Introductory Workshop: Homology Theories of Knots and Links January 25, 2010 - January 29, 2010
Registration Deadline: January 14, 2010 over 4 years ago
To apply for Funding you must register by: November 16, 2009 almost 5 years ago
Organizers Aaron Lauda (Columbia University), Robert Lipshitz (Columbia University), Dylan Thurston* (Columbia University).
Speaker(s)

Show List of Speakers

Description This workshop will introduce the main branches in the study of knot homology theories. It will consist of three mini-courses, one on knot Floer homology and related topics; one on the various approaches to Khovanov and Khovanov-Rozansky homology; and one on categorification on quantum groups. (There will also be several stand-alone lectures.)
The techniques involved in the three branches are quite different; in particular, Heegaard Floer theory is analytic in nature, with its origin in gauge theory and symplectic geometry, while both Khovanov homology and categorification are more algebraic in nature, with origins in representation theory and algebraic geometry. The workshop will provide an opportunity for graduate students and researchers outside the field to gain entry, as well as for researchers working in
one part of the field to learn about techniques and developments in other parts.


Speakers for the mini-courses:

Knot Floer homology:
Matt Hedden
Lenhard Ng
András Juhász

Khovanov/Khovanov-Rozansky homology:
Scott Morrison
Ben Webster

Categorification of Quantum Groups:
Sabin Cautis
Aaron Lauda


Bibliography (PDF)


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 January 4, 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: MSRIINTROHOMOLOGY. 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 December 29, 2009. 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 msri10.


If you are interested in finding participants to share a hotel room with please visit Hotel Sharing . You will need to create an account (this will only take a few minutes). After log in please go to the "Main Forum" to view the "Hotel Sharing" thread.

Schedule
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Jan 25, 2010
Monday
09:30 AM - 10:30 AM
  Heegaard Floer Homology I
Matthew Hedden
11:00 AM - 12:00 PM
  Khovanov Homology I
Scott Morrison
01:30 PM - 02:30 PM
  Categorical quantum group actions in geometry, I
Sabin Cautis (University of British Columbia)
Jan 26, 2010
Tuesday
09:30 AM - 10:30 AM
  Heegaard Floer Homology II
Matthew Hedden
11:00 AM - 12:00 PM
  Legendrian Knots I
Lenhard Ng
02:30 PM - 03:30 PM
  Khovanov Homology II
Scott Morrison
04:00 PM - 05:00 PM
  Categorical quantum group actions in geometry, II
Sabin Cautis (University of British Columbia)
Jan 27, 2010
Wednesday
09:30 AM - 10:30 AM
  Sutured Floer Homology I
Andras Juhasz
11:00 AM - 12:00 PM
  Legendrian knots II
Lenhard Ng
02:30 PM - 03:30 PM
  Khovanov-Rozansky Homology I
Ben Webster
04:00 PM - 05:00 PM
  Introduction to Instanton Floer Homology
Tomasz Mrowka (Massachusetts Institute of Technology)
Jan 28, 2010
Thursday
09:30 AM - 10:30 AM
  Sutured Floer Homology II
Andras Juhasz
11:00 AM - 12:00 PM
  Khovanov-Rozansky Homology II
Ben Webster
02:30 PM - 02:30 PM
  A categorification of quantum sl(2)
Aaron Lauda (University of Southern California)
04:00 PM - 05:00 PM
  Applications of sl(2) Categorification
Anthony Licata
Jan 29, 2010
Friday
09:30 AM - 10:30 AM
  Diagrammatic categorification of quantum groups II
Aaron Lauda (University of Southern California)
11:00 AM - 12:00 PM
  Knot Homology for Quantum Invariants Through Pictures
Ben Webster
01:30 PM - 02:30 PM
  A connection between Khovanov homology and Heegaard Floer homology
Eli Grigsby
03:00 PM - 04:00 PM
  Legendrian and Transverse Classification of twist knots.
Vera Vertesi