Rodica Andreea Dinu
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania & University of Konstanz, Germany

Group-based models appear in algebraic statistics as mathematical models coming from evolutionary biology, respectively the study of mutations of organisms. The aim of this talk is to present a study of the Gorenstein property for phylogenetic group-based models. The main result is given by the fact that the varieties associated to a trivalent tree and any of the groups $\mathbb Z_3$ and $\mathbb Z_2\times \mathbb Z_2$ are Gorenstein Fano varieties, which extends the results of Buczyńska and Wiśniewski for the group $\mathbb Z_2$. This talk is based on joint work with Martin Vodička.