| 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 |
