# Jehanne Dousse

Affiliation: Universität Zürich

Email: jehanne.dousse@liafa.univ-paris-diderot.fr

Title Of Talk: The method of weighted words and a refinement of Siladić's theorem

Abstract: Alladi and Gordon introduced the method of weighted words in 1993 to find refinements of Schur's theorem. It was later used to find refinements of G\"ollnitz' theorem and Capparelli's theorem, a partition identity which arose in the study of Lie algebras. In this talk, we will show how the method of weighted words combined with $q$-difference equations and recurrences allows to find a non-dilated version and refinement of Siladi\'c's identity, which also comes from Lie algebras theory.