Complex Monge-Ampère Equations on Compact Kähler Manifolds (14w5033)


(Institut de Mathématiques de Jussieu)

(Université Joseph Fourier (Grenoble1))

Vincent Guedj (Université Toulouse 3)


The Banff International Research Station will host the "Complex Monge-Ampère Equations on Compact Kähler Manifolds" workshop from April 6th to April 11th, 2014.

The unifying theme of the present project is analytic methods in complex algebraic and Kähler geometry,
with a special emphasis on complex Monge-Ampère equations.

These important, fully nonlinear partial differential equations of second order were used in a spectacular
way by Yau who proved conjectures of Calabi in 1976. Today it is still a very active area of research,
related in particular to the complex version of Hamilton's Ricci flow, existence of Kähler-Einstein
metrics, and other problems of Kähler geometry.

The workshop would be a wonderful opportunity to bring the most senior experts of the field together with
junior mathematicians working in the area. Another advantage of such a meeting at BIRS, with its facilities
and atmosphere, is a geographic diversity of the proposed participants.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).