CIRM-Lumini, Mon. 17 - 21th, 2008 Conference Geometry and topology in low dimension. http://www.cirm.univ-mrs.fr/web.ang/liste_rencontre/Rencontres2008/Renc321/Renc321.html Title: Gauss diagram formulas for the HOMFLYPT. Abstract: Any finite type knot invariant can be expressed by a Gauss diagram formula which counts some "subdiagrams" of the Gauss diagram. I will describe such formulas for invariants coming from the HOMFLYPT polynomial. Joint work with Michael Polyak.