Seminar Event Detail


Combinatorics

Date:  Friday, March 13, 2015
Location:  3866 East Hall (4:10 PM to 5:00 PM)

Title:  On a rational deformation of Hall-Littlewood symmetric polynomials

Abstract:   I will discuss a new one-parameter deformation of the Hall-Littlewood symmetric polynomials. The deformed objects are symmetric rational functions. They were introduced by Povolotsky (2013) as eigenfunctions of a certain interacting particle system solvable by the coordinate Bethe ansatz. These functions are also related to a deformation of the affine Hecke algebra introduced by Takeyama (2014). I will discuss properties of these symmetric rational functions (such as Cauchy and Pieri-type identities, orthogonality, etc.) developed in works of Borodin, Corwin, Sasamoto, and myself (arXiv:1407.8534, 1410.0976). An application of these properties provides explicit distribution formulas for a variety of interacting particle systems such as the six-vertex model, the asymmetric simple exclusion process, and their degenerations.

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Speaker:  Leonid Petrov
Institution:  U. Virginia

Event Organizer:   Sergey Fomin   

 

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