Tamás László
Babeş-Bolyai University, Cluj-Napoca, Romania

The aim of this talk is to create a bridge between the theory of numerical semigroups and the theory of complex normal surface singularities. We explain how one of the two theories might provide meaningful and enriching questions, ideas and simultaneously powerful tools to the other. In this talk we consider the case of numerical semigroups associated with weighted homogeneous surface singularities and show a solution to the Frobenius problem of these semigroups. Then, using the "flat classification" from the theory of numerical semigroups we can characterize those semigroups which arise in this way. The first part of this work was made jointly with A. Némethi (Rényi Inst. of Math., Budapest), the other part is a joint work with Zs. Baja (UBB, Cluj).