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The aim of this conference, located at the Palazzone in Cortona (Tuscany, Italy), is to bring together researchers in geometric and quantum topology, mainly focusing on 3-manifolds, hyperbolic geometry, and quantum invariants. Speakers: Ian AGOL (UC Berkeley) Daniele ALESSANDRINI (Heidelberg) Stéphane BASEILHAC (Montpellier 2) Jeff BROCK (Brown) Francis BONAHON (USC) Michel BOILEAU (Toulouse) Francesco COSTANTINO (Strasbourg) Jeffrey DANCIGER (Austin) Neil HOFFMAN (MPIM Bonn) Effie KALFAGIANNI (Michigan State) Marc LACKENBY (Oxford) Chris LEININGER (Illinois) Julien MARCHÉ (Jussieu) Hitoshi MURAKAMI (Tokyo) Carlo PETRONIO (Pisa) Julien ROGER (Rutgers) Jean-Marc SCHLENKER (Toulouse) Juan SOUTO (Vancouver BC) Roland VAN DER VEEN (Amsterdam) Organizers: Francesco Bonsante (Pavia), David Futer (Temple), Bruno Martelli (Pisa), Gabriele Mondello (Roma), Jessica Purcell (Brigham Young)