|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.
Speaker: Leonid Petrov
Institution: U. Virginia
Event Organizer: Sergey Fomin