Sixvertex model in the rare corners regime
Sixvertex model in the rare corners regime

Vadim Gorin University of California, Berkeley
Fine Hall 601
Note time and location change
The limit shapes for the height function in the celebrated sixvertex model are still unknown in general situations. However, we recently found ways to compute them in a degeneration, which leads to a low density of corners of paths (or, equivalently, of ctype vertices; or, equivalently, of horizontal/vertical molecules of water). I will report on the progress in this direction emphasizing various new features (as compared to, say, dimers): appearance of hyperbolic PDEs; discontinuities in densities; connections to random permutations.