Oct 25, 2010
to
Oct 29, 2010
Organizer(s)
Mike Hill (University of Virginia), Michael Hopkins (Harvard University), and Douglas C. Ravanel* (University of Rochester)
This workshop will focus on the ideas surrounding the recent solution to the Arf-Kervaire invariant problem in stable homotopy theory by Mike Hill, Mike Hopkins and Doug Ravenel. There will be talks on relevant aspects of equivariant stable homotopy theory, including the norm functor and the slice tower. The pertinent parts of chromatic homotopy theory will be covered including formal groups and formal $A$-modules, the Hopkins-Miller theorem, finite subgroups of Morava stabilizer groups and Ravenel's 1978 solution to the analogous problem at primes bigger than 3. There will also be several talks by the organizers giving a detailed account of the proof of the main theorem. Finally there will be a discussion of the questions raised by the unexpected statement of the theorem.
Accommodations:
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 October 11, 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: MSRIRANDOMMATRIX. 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 September 24, 2010. The rate is $110 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.
| Schedule |
|---|
| Monday, October 25, 2010 |
|
9:25AM - 9:40AM |
Welcome
|
|
9:40AM - 10:40AM |
John Jones
|
History of the Kervaire Invariant One Problem
[Video available]
|
|
10:40AM - 11:10AM |
Tea
|
|
11:10AM - 12:10PM |
John Jones
|
Construction of the Kervaire Classes
[Video available]
|
|
12:10PM - 2:00PM |
Lunch
|
|
2:00PM - 3:00PM |
Douglas Ravenel
|
An Overview of the proof
[Video available]
|
|
3:00PM - 3:30PM |
Tea
|
|
3:30PM - 4:30PM |
J. May
|
Introduction to Equivariant Homotopy I
[Video available]
|
|
4:30PM - 5:50PM |
Reception
|
| Tuesday, October 26, 2010 |
|
9:30AM - 10:30AM |
John Greenlees
|
Introduction to Equivariant Homotopy II
[Video available]
|
|
10:30AM - 11:00AM |
Tea
|
|
11:00AM - 12:00PM |
Micheal Hill
|
Introduction to the Slice Tower: The Slice Theorem
[Video available]
|
|
12:00PM - 2:00PM |
Lunch
|
|
2:00PM - 3:00PM |
Teena Gerhardt
|
The Homology of Slice Cells: the Gap Theorem
[Video available]
|
|
3:00PM - 3:30PM |
Tea
|
|
3:30PM - 4:30PM |
Igor Kriz
|
The Slice Spectral Sequence for $$C_2$$ and $$C_4$$
[Video available]
|
| Wednesday, October 27, 2010 |
|
9:30AM - 10:30AM |
Haynes Miller
|
The norm functor and $$MU^{((G))}$$
[Video available]
|
|
10:30AM - 11:00AM |
Tea
|
|
11:00AM - 12:00PM |
Nitya Kitchloo
|
Distinguished Classes in the Underlying Homotopy of $$MU^{((G))}$$
[Video available]
|
| Thursday, October 28, 2010 |
|
9:00AM - 10:00AM |
Mark Behrens
|
Introduction to the Adams-Novikov Spectral Sequence: Ravenel's Proof for Primes > 3
[Video available]
|
|
10:00AM - 10:30AM |
Tea
|
|
10:30AM - 11:30AM |
Douglas Ravenel
|
Proof of the Detection Theorem
[Video available]
|
|
11:30AM - 12:30PM |
Po Hu
|
Differentials in the Slice Spectral Sequence: the Periodicity Theorem
[Video available]
|
|
12:30PM - 2:00PM |
Lunch
|
|
2:00PM - 3:00PM |
Michael Hopkins, Micheal Hill, Douglas Ravenel
|
Q & A Session
[Video available]
|
|
3:00PM - 3:30PM |
Tea
|
| Friday, October 29, 2010 |
|
9:30AM - 10:30AM |
Andrew Blumberg
|
The Homotopy Fixed Points Theorem
[Video available]
|
|
10:30AM - 11:00AM |
Tea
|
|
11:00AM - 12:00PM |
Daniel Dugger
|
From the Reduction Theorem to the Slice Theorem
[Video available]
|
|
12:00PM - 2:00PM |
Lunch
|
|
2:00PM - 3:00PM |
Micheal Hill
|
Proof of the Reduction Theorem I
[Video available]
|
|
3:00PM - 3:30PM |
Tea
|
|
3:30PM - 4:30PM |
Michael Hopkins
|
Proof of the Reduction Theorem II
[Video available]
|
The Institute is committed to the principles of Equal
Opportunity and Affirmative Action.
