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Workshop

Cluster Algebras in Combinatorics, Algebra, and Geometry October 29, 2012 - November 02, 2012
Registration Deadline: October 29, 2012 almost 2 years ago
To apply for Funding you must register by: August 19, 2012 about 2 years ago
Parent Program: Cluster Algebras
Organizers Claire Amiot (Université de Strasbourg), Sergey Fomin (University of Michigan), Bernard Leclerc (Université de Caen), and Andrei Zelevinsky* (Northeastern University)
Speaker(s)

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Description Cluster algebras provide a unifying algebraic/combinatorial framework for a wide variety of phenomena in settings as diverse as quiver representations, Teichmuller theory,  Poisson geometry, Lie theory, discrete integrable systems, and polyhedral combinatorics.

The workshop aims at presenting a broad view of the state-of-the-art understanding of the role of cluster algebras in all these areas, and their interactions with each other.


Speakers:

Philippe Di Francesco (CEA-Saclay, France)
Anna Felikson (Jacobs University Bremen, Germany)
Christof Geiss (UNAM, Mexico)
Michael Gekhtman (University of Notre Dame)
David Hernandez (University Paris 7)
Osamu Iyama (Nagoya University, Japan)
Bernhard Keller (Université Paris Diderot - Paris 7, France)
Richard Kenyon (Brown University)
Robert Marsh (University of Leeds, United Kingdom)
Tomoki Nakanishi (Nagoya University, Japan)
Pierre-Guy Plamondon (Université Paris-Sud, France)
Pavlo Pylyavskyy (University of Minnesota)
Idun Reiten (Norwegian University of Science and Technology, Norway)
Michael Shapiro (Michigan State University)
Hugh Thomas (University of New Brunswick, Canada)
Lauren Williams (University of California, Berkeley)



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 JCluster Algebras in Combinatorics, Algebra, and Geometry 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 "geometry12".



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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Oct 29, 2012
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  tau-tilting theory 1
Idun Reiten
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Quiver varieties and derived categories
Bernhard Keller (Université de Paris VII (Denis Diderot))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Independence for exchange graphs and cluster complexes
Pierre-Guy Plamondon
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Higher-dimensional analogues of cluster structures
Hugh Thomas
Oct 30, 2012
Tuesday
09:30 AM - 10:30 AM
  Reflection group presentations arising from cluster algebras
Robert Marsh
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  The hexahedron recurrence and the Ising model
Richard Kenyon (Brown University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type
Tomoki Nakanishi
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Periodicity, positivity and integrability of T-systems
Philippe di Francesco (University of Illinois at Urbana-Champaign)
04:30 PM - 06:20 PM
  Reception
Oct 31, 2012
Wednesday
09:30 AM - 10:30 AM
  Cluster algebras from orbifolds
Anna Felikson
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Combinatorics of KP solitons from the real Grassmannian
Lauren Williams (University of California, Berkeley)
02:00 PM - 03:00 PM
  Mutation-Linear Algebra: The Notion of a Basis for B
Nathan Reading
Nov 01, 2012
Thursday
09:30 AM - 10:30 AM
  On Generic Bases for Cluster Algebras
Christof Geiss
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Non-simply laced quantum affine algebras and cluster algebras
David Hernandez
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Total positivity, loop groups and electrical networks
Pavlo Pylyavskyy
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  tau-tilting theory 2
Osamu Iyama
Nov 02, 2012
Friday
09:30 AM - 10:30 AM
  Cremmer-Gervais Cluster Algebras
Michael Gekhtman
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Generalized cluster algebra and Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order (joint with L.Chekhov)
Michael Shapiro