On the 17th of December 2016, twenty four mathematicians arrived to Easter Island. Alvaro Liendo and Sukhendu Mehrotra came from Chile, Sione Ma‘u came from Auckland in New Zealand, and four mathematicians came from Japan: Will Donovan, Kento Fujita, Yoshinori Gongyo, and Yujiro Kawamata. Five mathematicians flew from the States: Valery Alexeev came from Athens in Georgia, Fedor Bogomolov came from New York, Joe Cutrone came from Baltimore, Alexander Duncan came from Columbia in South Carolina, and Joaquin Moraga came from Salt Lake City. Nikita Kalinin and Ernesto Lupercio both came from Mexico City, DongSeon Hwang and Dima Sakovics came from South Korea, and the remaining eight mathematicians traveled from Europe: Elena Bunkova (Moscow), Ivan Cheltsov (Edinburgh), Lucas das Dores (Liverpool), Adrien Dubouloz (Dijon), Ilia Itenberg (Paris), Angelo Lopez (Rome), Grigory Mikhalkin (Geneva), and Navid Nabijou (London). All of them came to the island to participate in a conference on Algebraic Geometry. This volume carries 26 papers related to this conference.