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Introductory Workshop: Homology Theories of Knots and Links |
| January 25, 2010 to January 29, 2010 |
| Organized By: Aaron Lauda (Columbia University), Robert Lipshitz (Columbia University), Dylan Thurston* (Columbia University). |
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| Parent Programs: |
| Homology Theories of Knots and Links |
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| Participant List: |
| View a List of Registered Participants |
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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. |
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Schedule |
Monday January 25, 2010 |
| 09:30AM - 10:30AM |
Matthew Hedden |
Heegaard Floer Homology I
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Scott Morrison |
Khovanov Homology I
(See Abstract) |
| 12:00PM - 01:30PM |
Lunch
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| 01:30PM - 02:30PM |
Sabin Cautis |
Categorical quantum group actions in geometry, I
(See Abstract) |
| 02:30PM - 03:30PM |
Problem Sessions
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| 03:30PM - 04:00PM |
Coffee, tea in the atrium
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| 04:00PM - 05:00PM |
Evans lecture: Gordana Matic
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Tuesday January 26, 2010 |
| 09:30AM - 10:30AM |
Matthew Hedden |
Heegaard Floer Homology II
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Lenhard Ng |
Legendrian Knots I
(See Abstract) |
| 12:00PM - 01:30PM |
Lunch
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| 01:30PM - 02:30PM |
Problem Sessions
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| 02:30PM - 03:30PM |
Scott Morrison |
Khovanov Homology II
(See Abstract) |
| 03:30PM - 04:00PM |
Coffee, tea in the atrium
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| 04:00PM - 05:00PM |
Sabin Cautis |
Categorical quantum group actions in geometry, II
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Wednesday January 27, 2010 |
| 09:30AM - 10:30AM |
Andras Juhasz |
Sutured Floer Homology I
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Lenhard Ng |
Legendrian knots II
(See Abstract) |
| 12:00PM - 01:30PM |
Lunch
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| 01:30PM - 02:30PM |
Problem Session
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| 02:30PM - 03:30PM |
Ben Webster |
Khovanov-Rozansky Homology
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| 03:30PM - 04:00PM |
Coffee, tea in the atrium
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| 04:00PM - 05:00PM |
Tomasz Mrowka |
Introduction to Instanton Floer Homology
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Thursday January 28, 2010 |
| 09:30AM - 10:30AM |
Andras Juhasz |
Sutured Floer Homology II
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Ben Webster |
Khovanov-Rozansky Homology II
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| 12:00PM - 01:30PM |
Lunch
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| 01:30PM - 02:30PM |
Problem Sessions
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| 02:30PM - 03:30PM |
Aaron Lauda |
A categorification of quantum sl(2)
(See Abstract) |
| 03:30PM - 04:00PM |
Coffee, tea in the atrium
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| 04:00PM - 05:00PM |
Anthony Licata |
Applications of sl(2) Categorification
(See Abstract) |
Friday January 29, 2010 |
| 09:30AM - 10:30AM |
Aaron Lauda |
Diagrammatic categorification of quantum groups II
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Ben Webster |
Categorification of Reshetikhin-Turaev Invariants.
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| 12:00PM - 01:30PM |
Lunch
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| 01:30PM - 02:30PM |
Eli Grigsby |
A connection between Khovanov homology and Heegaard Floer homology
(See Abstract) |
| 02:30PM - 03:00PM |
Coffee, tea in the atrium
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| 03:00PM - 04:00PM |
Vera Vertesi |
Legendrian and Transverse Classification of twist knots.
(See Abstract) |
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Currently Available Videos |
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Matthew Hedden
, Heegaard Floer Homology I January 25,2010, 09:30 AM to 10:30 AM
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Scott Morrison
, Khovanov Homology I January 25,2010, 11:00 AM to 12:00 PM
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Sabin Cautis
, Categorical quantum group actions in geometry, I January 25,2010, 01:30 PM to 02:30 PM
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Matthew Hedden
, Heegaard Floer Homology II January 26,2010, 09:30 AM to 10:30 AM
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Lenhard Ng
, Legendrian Knots I January 26,2010, 11:00 AM to 12:00 PM
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Scott Morrison
, Khovanov Homology II January 26,2010, 02:30 PM to 03:30 PM
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Sabin Cautis
, Categorical quantum group actions in geometry, II January 26,2010, 04:00 PM to 05:00 PM
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Andras Juhasz
, Sutured Floer Homology I January 27,2010, 09:30 AM to 10:30 AM
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Lenhard Ng
, Legendrian knots II January 27,2010, 11:00 AM to 12:00 PM
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Ben Webster
, Khovanov-Rozansky Homology I January 27,2010, 02:30 PM to 03:30 PM
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Tomasz Mrowka
, Introduction to Instanton Floer Homology January 27,2010, 04:00 PM to 05:00 PM
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Andras Juhasz
, Sutured Floer Homology II January 28,2010, 09:30 AM to 10:30 AM
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Ben Webster
, Khovanov-Rozansky Homology II January 28,2010, 11:00 AM to 12:00 PM
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Aaron Lauda
, A categorification of quantum sl(2) January 28,2010, 02:30 PM to 02:30 PM
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Anthony Licata
, Applications of sl(2) Categorification January 28,2010, 04:00 PM to 05:00 PM
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Aaron Lauda
, Diagrammatic categorification of quantum groups II January 29,2010, 09:30 AM to 10:30 AM
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Ben Webster
, Knot Homology for Quantum Invariants Through Pictures January 29,2010, 11:00 AM to 12:00 PM
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Eli Grigsby
, A connection between Khovanov homology and Heegaard Floer homology January 29,2010, 01:30 PM to 02:30 PM
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Vera Vertesi
, Legendrian and Transverse Classification of twist knots. January 29,2010, 03:00 PM to 04:00 PM
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Note: Registration for this event is closed.
For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Introductory 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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