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Title:
Integrability of limit shape equations for the 6-vertex model
Speaker:
Abstract:
Limit shape phenomenon has been studied well in dimer models. It can be regarded Some imortant results were obtained recently for the 6-vertex model. Conjecturally, limit shapes are solutions to the Euler-Lagrange equation for the action determined by the "surface tension function". This has been proven for the dimer models. The main result which will be reported in the talk is the existence of infinitely many conserved quantities for limit shape equations for the 6-vertex model on a cylinder. This suggests the integrability of these PDE's.
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