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Hot Topics: Contact structures, dynamics and the Seiberg-Witten equations in dimension 3

June 09, 2008 to June 13, 2008
Organized By: Helmut Hofer, Michael Hutchings, Peter Kronheimer, Tom Mrowka and Cliff Taubes
 
Participant List:
View a List of Registered Participants
 
This workshop will concentrate on recently discovered relationships between Seiberg-Witten theory and contact geometry on 3 dimensional manifolds. One consequence of these relationships is a proof of the Weinstein conjecture in dimension 3. Another is an isomorphism between the Seiberg-Witten Floer (co)homology and embedded contact homology, the latter a form of Floer homology that was defined by Michael Hutchings. The over arching plan is to introduce the salient features of both the contact geometry side of the story and the Seiberg-Witten side, and then discuss how they are related.

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 May 23, 2008.

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: JU0000. The cut-off date for reservations is May 9, 2008.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Monday June 9, 2008

09:00AM - 10:00AM  Helmut Hofer The History of the Weinstein Conjecture
11:00AM - 12:00PM  Helmut Hofer What do we know about the Weinstein Conjecture in higher dimensions?
01:30PM - 02:30PM  Tomasz Mrowka Introduction to the Seiberg-Witten equations
03:00PM - 04:00PM  Richard Siefring The asymptotic behavior of punctured pseudoholomorphic curves

Tuesday June 10, 2008

09:00AM - 10:00AM  Michael Hutchings Background for embedded contact homology
11:00AM - 12:00PM  Peter Kronheimer Introduction to the Seiberg-Witten-Floer homologies I
01:30PM - 02:30PM  Clifford Taubes Outline of the relationship between Seiberg-Witten and the Weinstein conjecture
03:00PM - 04:00PM  Robert Lipshitz Towards Heegard Floer homology for 3-manifolds with boundary

Wednesday June 11, 2008

09:00AM - 10:00AM  Michael Hutchings Introduction to embedded contact homology I
11:00AM - 12:00PM  Tomasz Mrowka Introduction to the Seiberg-Witten-Floer homologies II
01:30PM - 02:30PM  Clifford Taubes Seiberg-Witten and Weinstein Conjecture I
03:00PM - 04:00PM  Clifford Taubes Seiberg-Witten and Weinstein Conjecture II
04:30PM - 05:30PM  Ko Honda Relative Contact Homologies

Thursday June 12, 2008

09:00AM - 10:00AM  Michael Hutchings Introduction to embedded contact homology II
11:00AM - 12:00PM  Peter Kronheimer Existence theorems for Seiberg-Witten-Floer homology
01:30PM - 02:30PM  Clifford Taubes Seiberg-Witten and Weinstein Conjecture III
03:00PM - 04:00PM  Tim Perutz A symplectic Gysin sequence

Friday June 13, 2008

09:00AM - 10:00AM  Clifford Taubes Seiberg-Witten and embedded contact homology I
11:00AM - 12:00PM  Clifford Taubes Seiberg-Witten and embedded contact homology II
01:30PM - 02:30PM  Cagatay Kutluhan Seiberg-Witten Floer homology and symplectic forms on S^1 x M^3
03:00PM - 04:00PM  Robion Kirby Broken Lefschetz fibrations for all smooth oriented 4-manifolds

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