Lecture course by Julien Dubédat:
The course is entitled: Dimer observables and Cauchy-Riemann operators.
The dimer model is a fundamental example of exactly solvable planar statistical mechanics, due to its determinantal structure discovered by Kasteleyn. In the bipartite case, it corresponds to a height function which converges (in the appropriate phase) to the Gaussian Free Field, as shown in pioneering work of Kenyon. In this series of lectures, we consider further aspects of the scaling limit, that are suggested by (but not derivable from) the GFF invariance principle; the main point of view is that of families of Cauchy-Riemann operators.
Solvability and combinatorial aspects of the dimer model.
Elements of discrete complex analysis.
Singular observables and their scaling limits.
Double-dimer observables and tau-functions.
Times and room: All lectures will be given in MR5. Times: