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The goal of the Workshop is to bring together mathematicians from Complex Geometry and from Singularities working with diﬀerent declinations of Nash Blow-Ups and the Semple Tower. They shall exchange their viewpoint and explain in an introductory way how to use these objects in their respective ﬁelds. Our aim is to encourage interactions. A first edition of the Workshop was held in Marseille in February 2018 (https://nash-semple.sciencesconf.org/). In 2019, we will organize the second edition of the workshop in Leuven. Three specialists will give series of short courses. Regarding our goals, we stress the importance of making accessible talks. They will give three lectures of 50 minutes. The ﬁrst two shall be introductive, and the last one could be a panorama of possible applications without too complicated proofs. Besides, there will be around 8 talks by participants on some preparatory material, or some practical applications/exercise sessions around the concepts that have been introduced.