Speaker: Jose Ignacio Cogolludo Title: Local analytic invariants of curves embedded in surface singularities. Abstract: We will introduce a new analytic invariant of curves embedded in a surface singularity. This invariant extends one previously defined for curves in quotient surface singularities. We will discuss to what extend this invariant depends only on the dual graph of a good resolution and compare it with the classical delta-invariant of the abstract curve. This is a joint work with A.N\'emethi, J.Mart\'in-Morales, and T.L\'aszl\'o.