|Wednesday 16 October 2019|
|Events for day: Wednesday 16 October 2019|
| 15:30 - 16:30 Geometry and Topology Weekly Seminar|
Conformally Invariant Observables in the Double-dimer Model
We are going to talk about a two-dimensional model in statistical mechanics, the double-dimer model, which is simply a straightforward generalization of the dimer model. The latter is well-known in both physics and mathematics because of its particular features and substantial relations to many contexts, known in combinatorics as a perfect-matching problem. Here the emphasis is on the critical behavior of the loop ensembles of the double-dimer model, conjectured to converge to the level sets of the Gaussian free field and Schramm-Loewnerevolution or conformal loop ensembles with parameter 4. We use the Grassmannian representation of the dimer ...