Symposium devoted to honoring the mathematical legacy of Uffe Haagerup (1949-2015). There are talks by 17 invited speakers: Bisch, Connes, Cuntz, Dykema, Effros, Jones, Kadison, Ozawa, Pisier, Popa, Shlyakhtenko, Speicher, Thom, Vaes, Valette, Vershik and Voiculescu.