Birational Geometry and Arithmetic
(May 14  18, 2018)
Recent developments in the minimal model program in positive characteristic and birational geometry have found purchase within arithmetic geometry, e.g., around questions of exceptional sets involved in Manin's conjecture on points of bounded height. In turn, arithmetic perspectives afforded by Manin's conjecture are starting to shed light on the geometry of spaces of rational curves.
Our goal in this workshop is to bring together two camps of geometers (birational and arithmetic) who have had few opportunities to interact on a large scale. We plan to focus on the interplay between theoretical developments and explicit constructions, e.g., in the study of Cox rings of Fano varieties, rationality problems, Manin's conjecture.
Organizing Committee
 Asher Auel
(Yale University)  Marta Pieropan
(EPFL)  Sho Tanimoto
(Kumamoto University)  Yuri Tschinkel
(New York University/Simons Foundation)  Anthony VárillyAlvarado
(Rice University)

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