Patrick Popescu-Pampu
Université de Lille, Lille, France

Splice type singularities are a huge extension of the class of Brieskorn-Pham-Hamm complete intersections. They were introduced by Neumann and Wahl around 2000. They are defined by explicite systems of equations, whose structures depend on special types of decorated trees, called splice diagrams. The links of those singularities realise all known integral homology sphere links of complex isolated complete intersections. I will describe the local tropicalizations of splice type singularities and how this knowledge allows to prove that they are Newton non-degenerate complete intersections, which implies that each one of them may be resolved using a single toric morphism. This is common work with Maria Angelica Cueto and Dmitry Stepanov.