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Cluster Algebras in Combinatorics, Algebra, and Geometry
Oct 29, 2012 to Nov 2, 2012

Organizer(s)

Claire Amiot (Université de Strasbourg), Sergey Fomin (University of Michigan), Bernard Leclerc (Université de Caen), and Andrei Zelevinsky* (Northeastern University)
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".


Schedule
Monday, October 29, 2012
9:15AM - 9:30AM MSRI, Simons Auditorium Welcome
9:30AM - 10:30AM MSRI, Simons Auditorium Idun Reiten tau-tilting theory 1 ( Abstract ) [Video available]
10:30AM - 11:00AM MSRI, Atrium Tea
11:00AM - 12:00PM MSRI, Simons Auditorium Bernhard Keller Quiver varieties and derived categories ( Abstract ) [Video available]
12:00PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:00PM MSRI, Simons Auditorium Pierre-Guy Plamondon Independence for exchange graphs and cluster complexes ( Abstract ) [Video available]
3:00PM - 3:30PM MSRI, Atrium Tea
3:30PM - 4:30PM MSRI, Simons Auditorium Hugh Thomas Higher-dimensional analogues of cluster structures ( Abstract ) [Video available]
Tuesday, October 30, 2012
9:30AM - 10:30AM MSRI, Simons Auditorium Robert Marsh Reflection group presentations arising from cluster algebras ( Abstract ) [Video available]
10:30AM - 11:00AM MSRI, Atrium Tea
11:00AM - 12:00PM MSRI, Simons Auditorium Richard Kenyon The hexahedron recurrence and the Ising model ( Abstract ) [Video available]
12:00PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:00PM MSRI, Simons Auditorium Tomoki Nakanishi Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type ( Abstract ) [Video available]
3:00PM - 3:30PM MSRI, Atrium Tea
3:30PM - 4:30PM MSRI, Simons Auditorium Philippe di Francesco Periodicity, positivity and integrability of T-systems ( Abstract ) [Video available]
4:30PM - 6:20PM MSRI, Atrium Reception
Wednesday, October 31, 2012
9:30AM - 10:30AM MSRI, Simons Auditorium Anna Felikson Cluster algebras from orbifolds ( Abstract ) [Video available]
10:30AM - 11:00AM MSRI, Atrium Tea
11:00AM - 12:00PM MSRI, Simons Auditorium Lauren Williams Combinatorics of KP solitons from the real Grassmannian ( Abstract ) [Video available]
2:00PM - 3:00PM MSRI, Baker Board Room Nathan Reading Mutation-Linear Algebra: The Notion of a Basis for B ( Abstract )
Thursday, November 01, 2012
9:30AM - 10:30AM MSRI, Simons Auditorium Christof Geiss On Generic Bases for Cluster Algebras ( Abstract ) [Video available]
10:30AM - 11:00AM MSRI, Atrium Tea
11:00AM - 12:00PM MSRI, Simons Auditorium David Hernandez Non-simply laced quantum affine algebras and cluster algebras ( Abstract ) [Video available]
12:00PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:00PM MSRI, Simons Auditorium Pavlo Pylyavskyy Total positivity, loop groups and electrical networks ( Abstract ) [Video available]
3:00PM - 3:30PM MSRI, Atrium Tea
3:30PM - 4:30PM MSRI, Simons Auditorium Osamu Iyama tau-tilting theory 2 ( Abstract ) [Video available]
Friday, November 02, 2012
9:30AM - 10:30AM MSRI, Simons Auditorium Michael Gekhtman Cremmer-Gervais Cluster Algebras ( Abstract ) [Video available]
10:30AM - 11:00AM MSRI, Atrium Tea
11:00AM - 12:00PM MSRI, Simons Auditorium Michael Shapiro Generalized cluster algebra and Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order (joint with L.Chekhov) ( Abstract ) [Video available]
Parent Program(s):
Cluster Algebras


Questions about this workshop should be sent either by email to
or by regular mail to:
Cluster Algebras in Combinatorics, Algebra, and Geometry
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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