Tamas Laszlo (Renyi Instutute): Delta invariant formulae of curves on rational surface singularities

The aim of this talk is to show that the delta invariant of a complex curve germ is the periodic constant of  the Campillo, Delgado and Gusein-Zade?s Poincaré series associated with the curve. This can be used to prove simple formulae for the delta invariant in the case when the curve is embedded in a rational surface singularity. Joint work  with J.I. Cogolludo-Agustín, J. Martín-Morales and A. Némethi.