Joint Introductory Workshop: Cluster Algebras and Commutative Algebra
Aug 27, 2012
to
Sep 7, 2012
Organizer(s)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)
To apply for funding, you must
register by Sun, Jun 03 2012.
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. 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. FundingTo apply for funding, you must
register by Sun, Jun 03 2012.
Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Commutative Algebra Cluster Algebras
Questions about this workshop should be sent either by email to
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