Non-Archimedean and Tropical Geometry (2013)
March 31-April 6, 2013
Organizers: Matt Baker and Sam Payne
This symposium will focus on setting a clear agenda for future developments in the related fields of tropical and nonarchimedean analytic geometry. One of the goals of the meeting will be to produce high quality expository material presenting the methods, results, and ambitions of these active research areas. Another will be to identify problems in other fields of mathematics that could be amenable to tropical and nonarchimedean analytic methods and establish new rigorous links with those neighboring fields.
Topics to be discussed include: (1) specialization inequalities and correspondence theorems for curves, along with potential generalizations to higher dimensional varieties; (2) the recent work of Chambert-Loir and Ducros, which among other things iprovides a nonarchimedean analogue of the Poincar´e-Lelong formula ddc log |f| = div(f); (3) applications of tropical methods to Brill-Noether theory and mirror symmetry; and (4) links between tropical geometry and motivic integration.
Participants
Omid Amini, Ecole Normale Superieur, Paris
Matthew Baker, UC Berkeley
Vladimir Berkovich, Weizmann Institute
Lucia Caporaso, University of Rome 3
Antoine Chambert-Loir, Université de Rennes 1
Jan Draisma, University of Eindhoven
Antoine Ducros, University of Paris 6
Walter Gubler, University of Regensburg
Ehud Hrushovski, Hebrew University
Eric Katz, University of Waterloo
Kiran Kedlaya, MIT
Francois Loeser, University of Paris 6
Diane Maclagan, University of Warwick
Grigory Mikhalkin, University of Geneva
Johannes Nicaise, University of Leuven
Sam Payne, Yale University
Joseph Rabinoff, Harvard University
Bernd Sturmfels, UC Berkeley
Michael Temkin, Hebrew University of Jerusalem
Jenia Tevelev, University of Massachusetts, Amherst
Amaury Thuillier, University of Lyon
Yuri Tschinkel, Simons Foundation