Combinatorial Algebraic Geometry: Matrix-tree theorem: The Prym Case

We review the classical matrix-tree theorem, and then discuss a generalization in the case of double covers: known as the Prym case. This talk is based on Y. Len, D. Zakharov [arxiv:2012.15235] and a recent continuing work by A. Ghosh, D. Zakharov [arxiv:2303.03904].