Geometry and Topology of Singular Spaces : in honour of David Trotman for his 60th birthday, Luminy- Marseille, Oct. 29-Nov. 2, 2012

International audienceThis volume contains the proceedings of the international workshop " Topology and Geometry of Singular Spaces", held in honour of David Trotman in celebration of his sixtieth birthday. The workshop took place at the Centre International de Rencontres Mathématiques (CIRM), Marseilles, France from October 29 to November, 2nd 2012. Its main theme was the singularity theory of spaces and maps.The meeting was attended by 74 participants from all over the world. 29 talks were given by major specialists, and 8 posters were presented by some younger mathematicians. The topics of the talks and posters were wide-ranging: strati cation theory, strati ed Morse theory, geometry of de nable sets, singularities at in nity of polynomial maps, additive invariants of real algebraic varieties, applications of singularities to robotics, andtopology of complex analytic singularities.We thank all participants, especially the speakers, for making the meeting successful and fruitful, both socially and scienti cally.We are also very grateful to all the research bodies who contributed to the nancing of the conference: the CIRM institution, the University of Aix-Marseille for Fonds FIR, the LABEX Archimede, and FRUMAM, the University of Rennes 1, the University of Savoy, the ANR SIRE, the city of Marseilles, the "Conseil Général des Bouches du Rhône", the Ministry of Education via the ACCES program, the GDR (Groupement de Recherche)of the CNRS Singularités et Applications and the GDR-International franco-japonais-vietnamien de singularités.The papers of this volume cover a variety of the subjects discussed at the workshop. All the manuscipts have been carefully peer-reviewed. We thank the authors for their valuable contributions, and the referees for their careful and conscientious work