Reading the coefficients of a generating function off from its singularities is a well-oiled machine in the case of one variable. In multivariate case, the theory is still being developed, and involves, besides complex analysis, insights from the theory of hyperbolic polynomials and their Fourier transforms. I will outline what is known, illustrating the story with the examples from "integrable combinatorics" (like Aztec diamond tilings), and report on a recent work (wit S. Melczer and R. Pemantle) on a puzzling appearance of lacunae in a symmetric generating function.

Einladung von Prof. Dmitry Feichtner-Kozlov