The non-archimedean SYZ fibration and the minimal model program
Johannes Nicaise (Imperial College, London)

Time: 9h30, Tuesday, August 29, 2017
Location: Room 201, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: The Strominger-Yau-Zaslow conjecture gives a geometric description of the relation between mirror pairs of Calabi-Yau varieties. It was a fundamental insight of Kontsevich and Soibelman that the structures predicted by the SYZ conjecture can be found in the world of non-archimedean geometry (Berkovich spaces). I will explain the main ideas, as well as the connections with the minimal model program in birational geometry. This talk is based on joint work with Mircea Mustata, Chenyang Xu and Tony Yue Yu.