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Workshop

Joint Introductory Workshop: Cluster Algebras and Commutative Algebra August 27, 2012 - September 07, 2012
Registration Deadline: August 27, 2012 about 2 years ago
To apply for Funding you must register by: June 03, 2012 over 2 years ago
Parent Program: Commutative Algebra
Organizers David Eisenbud* (University of California, Berkeley), Bernhard Keller (Universit´e Paris VII, France), Karen Smith (University of Michigan), and Alexander Vainshtein* (University of Haifa, Israel)
Speaker(s)

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Description Commutative algebra was born in the 19th century, of number theory on the one hand and invariant theory on the other; today it is a mature field with activity on many fronts, and important links to other fields such as representation theory, algebraic and arithmetic geometry, combinatorics, and noncommutative geometry. Cluster algebras, on the other hand, were conceived in 2000 as a tool for studying semisimple Lie groups. They are constructively defined commutative algebras with generators and the relations produced by an iterative process of successive mutations.

Though cluster algebras are ``just'' commutative algebras with distinguished sets of generators, the field has developed from very different sources. It now has flourishing and striking connections with several diverse areas, such as quiver representations, Teichmueller theory, invariant theory, tropical calculus, Poisson geometry, and polyhedral combinatorics. The time is ripe for a major meeting in which the connections between the cluster algebras and classical commutative algebra are explored. As natural as this proposition is, the two fields have not been in close contact; the Joint Introductory Workshop will be a groundbreaking event.

The workshop will take place at the opening of the MSRI special programs on Commutative Algebra and on Cluster Algebras. It will feature lecture series at different levels, to appeal to a wide variety of participants. There will be minicourses on the basics of cluster algebras, and others developing particular aspects of cluster algebras and commutative algebra.

Speakers:
Holger Brenner (University of Osnabrueck)
Sergey Fomin (University of Michigan)
Craig Huneke (University of Kansas)
Bernhard Keller (Universite Paris VII)
Bernard Leclerc (Universite de Caen)
Irena Peeva (Cornell University)
Idun Reiten (Norwegian University of Science and Technology, NTNU)
Frank Schreyer (Universitat des Saarlandes)
Karen Smith (University of Michigan)
Dylan Thurston (Barnard College)
Alek Vainshtein (University of Haifa, Israel)
Michel Van den Bergh (Universiteit Hasselt)

Accommodation:

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.

MSRI has a preferred rate of $119 at the Hotel Shattuck Plaza, depending on room availability. There is no cut-off date for reservations. Guests can either call the hotel's main line at 510-845-7300 and ask for the Joint Introductory Workshop: Cluster Algebras and Commutative Algebra rate; or go to www.hotelshattuckplaza.com and enter dates of stay at top of screen and click Book Now.  Once on the reservation page, click Preferred/Corporate Rate Accounts and input the code "algebra12".

There are rooms avaialble at the Hotel Durant. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to this link and choose your dates of stay. The rates begin at $120 per night plus tax.



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.

Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 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 “I am an individual traveler affiliated with MSRI”.

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

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Schedule
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Aug 27, 2012
Monday
08:45 AM - 09:00 AM
  Welcome
09:00 AM - 10:00 AM
  Introduction to cluster algebras #1
Sergey Fomin (University of Michigan)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Craig Huneke - Introduction to Uniformity in Commutative Algebra #1
11:30 AM - 12:30 PM
  Introduction to cluster algebras #2
Sergey Fomin (University of Michigan)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Introduction to Frobenius splitting #1
Karen Smith (University of Michigan)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Cluster Algebras Tutorial Session
Aug 28, 2012
Tuesday
09:00 AM - 10:00 AM
  Infinite free resolutions #1
Irena Peeva (Cornell University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Quiver representations and cluster algebras #1
Bernhard Keller (Université de Paris VII (Denis Diderot))
11:30 AM - 12:30 PM
  Craig Huneke - Introduction to Uniformity in Commutative Algebra #2
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Introduction to cluster algebras #3
Sergey Fomin (University of Michigan)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Commutative Algebra Tutorial Session
05:00 PM - 07:00 PM
  Reception
Aug 29, 2012
Wednesday
09:00 AM - 10:00 AM
  Infinite free resolutions #2
Irena Peeva (Cornell University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Quiver representations and cluster algebras #2
Bernhard Keller (Université de Paris VII (Denis Diderot))
11:30 AM - 12:30 PM
  Introduction to Frobenius splitting #2
Karen Smith (University of Michigan)
Aug 30, 2012
Thursday
09:00 AM - 10:00 AM
  Quiver representations and cluster algebras #3
Bernhard Keller (Université de Paris VII (Denis Diderot))
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Infinite free resolutions #3
Irena Peeva (Cornell University)
11:30 AM - 12:30 PM
  Preprojective algebras and Lie theory #1
Bernard Leclerc (Université de Caen)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Introduction to Frobenius splitting #3
Karen Smith (University of Michigan)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Tutorial Session
03:30 PM - 05:00 PM
  Tutorial Session
Aug 31, 2012
Friday
09:00 AM - 10:00 AM
  Preprojective algebras and Lie theory #2
Bernard Leclerc (Université de Caen)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Vector bundles and ideal closure operations #1
Holger Brenner (Universität Osnabrück)
11:30 AM - 12:30 PM
  Preprojective algebras and Lie theory #3
Bernard Leclerc (Université de Caen)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Syzygies, finite length modules, and random curves #1
Frank-Olaf Schreyer (Universität des Saarlandes)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Tutorial Session
03:30 PM - 05:00 PM
  Tutorial Session
Sep 03, 2012
Monday
12:00 PM - 04:00 PM
  Barbeque at Codornices Park
Sep 04, 2012
Tuesday
09:00 AM - 10:00 AM
  Cluster categories #1
Idun Reiten
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Vector bundles and ideal closure operations #2
Holger Brenner (Universität Osnabrück)
11:30 AM - 12:30 PM
  Cluster algebras and Poisson geometry #1
Alek Vainshtein (University of Haifa)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Craig Huneke - Introduction to Uniformity in Commutative Algebra #3
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Cluster algebras and Poisson geometry #2
Alek Vainshtein (University of Haifa)
Sep 05, 2012
Wednesday
09:00 AM - 10:00 AM
  Vector bundles and ideal closure operations #3
Holger Brenner (Universität Osnabrück)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Cluster categories #2
Idun Reiten
11:30 AM - 12:30 PM
  Syzygies, finite length modules, and random curves #2
Frank-Olaf Schreyer (Universität des Saarlandes)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Cluster algebras and Poisson geometry #3
Alek Vainshtein (University of Haifa)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Cluster Algebras Tutorial Session - Michael Gekhtman
03:30 PM - 05:00 PM
  Tutorial Session
Sep 06, 2012
Thursday
09:00 AM - 10:00 AM
  Syzygies, finite length modules, and random curves #3
Frank-Olaf Schreyer (Universität des Saarlandes)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Cluster categories #3
Idun Reiten
11:30 AM - 12:30 PM
  Non-commutative resolutions #1
Michel Van den Bergh (Limburgs Universitair Centrum)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Cluster Algebras and Triangulated Surfaces #1
Dylan Thurston (Columbia University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Tutorial Session
03:30 PM - 05:00 PM
  Tutorial Session
Sep 07, 2012
Friday
09:00 AM - 10:00 AM
  Cluster Algebras and Triangulated Surfaces #2
Dylan Thurston (Columbia University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Non-commutative resolutions #2
Michel Van den Bergh (Limburgs Universitair Centrum)
11:30 AM - 12:30 PM
  Cluster Algebras and Triangulated Surfaces #3
Dylan Thurston (Columbia University)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Non-commutative resolutions #3
Michel Van den Bergh (Limburgs Universitair Centrum)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 05:00 PM
  Tutorial Session