{TALK 
        {"October 7}
        {"Littlewood-Richardson Coeffients via Yang-Baxter Equations}
        {"Alexander Postnikov}
        {"MIT}
        {"apost@math.mit.edu}
        {"The purpose of this talk is to present a combinatorial interpretation for the
decomposition of the tensor product of two or more irreducible representations
of GL(n) in terms of certain scattering R-matrix.  This R-matrix satisfies a
Yang-Baxter type equation.  The corresponding piecewise-linear transformation
of parameters maps coincide with the transition maps for Kashiwara
parametrizations of canonical bases for modules over type A quantum groups.  
We provide an explicit description for the cone of such parameterizations, thus
solving a problem posed by Berenstein and Zelevinsky.  Geometrically, our
R-matrix can be interpreted via certain web diagrams, which are similar in
appearance to honeycomb tinkertoys of Knutson and Tao.  
This is a joint work with Oleg Gleizer.}
}