Workshop Cluster Algebras in Combinatorics, Algebra, and Geometry

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Oct 30, 2012
Tuesday

03:30 PM - 04:30 PM

Periodicity, positivity and integrability of T-systems
Philippe Di Francesco (University of Illinois at Urbana-Champaign)

January 16, 2012 - January 20, 2012

Workshop Introductory Workshop: Lattice Models and Combinatorics

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Jan 17, 2012
Tuesday

09:30 AM - 10:30 AM

Discrete Integrable Systems and Cluster Algebras
Philippe Di Francesco (University of Illinois at Urbana-Champaign)

September 13, 2010 - September 17, 2010

Workshop Random Matrix Theory and Its Applications I

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Sep 13, 2010
Monday

10:50 AM - 11:30 AM		Geodesic distance in planar maps: from matrix models to trees Philippe Di Francesco (University of Illinois at Urbana-Champaign)
Location -- Video -- Abstract Matrix models have proved to be a successful tool for enumerating maps of arbitrary genus, perused by physicists in the context of two-dimensional quantum gravity. We show how planar map results may be rephrased into tree combinatorics, and how they can be generalized to study refined properties such as geodesic distances within maps. Remarkably, the problem is still integrable (and exactly solvable), and shows striking similarities with the orthogonal polynomial solution of the one-matrix model. Supplements -- Show Detail

March 17, 2008 - March 21, 2008

Workshop Topics in Combinatorial Representation Theory

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Mar 21, 2008
Friday

09:30 AM - 10:30 AM

The Razumov-Stroganov conjecture: loop gas, alternating sign matrices, plane partitions and orbital varieties
Philippe Di Francesco (University of Illinois at Urbana-Champaign)