MS Seminar (Mathematics - String Theory)

Speaker: Paul Zinn-Justin (Paris)
Title: Exactly solvable models of tilings and Littlewood--Richardson coefficients
Date (JST): Fri, Aug 28, 2009, 13:30 - 15:00
Place: Seminar Room at IPMU Prefab. B
Related File: 136.pdf
Abstract: There are various known combinatorial rules for computing
Littlewood--Richardson coefficients. A particularly attractive one is the
so-called puzzles of Knutson and Tao. Puzzles are related to a model of
random tilings, the so-called square-triangle tiling model. We discuss the
consequences of the quantum integrability of the latter, producing in
particular a direct, elementary proof of this version of the
Littlewood-Richardson rule. If time allows, we shall introduce a more
general model, of square-triangle-rhombus tilings, which allows for
``equivariant'' generalizations of Littlewood--Richardson coefficients.
Contact: Susanne Reffert