Complex Monge-Ampère Equation (09w5049)


(Jagiellonian University)

(McGill University)

Duong Phong (Columbia University)


The Banff International Research Station will host the "Complex Monge-Ampère Equation " workshop next week, October 18 - October 23, 2009.

The complex Monge-Ampère equation appears in many areas of mathematics, e.g. Complex Geometry and Pluripotential Theory. This important, fully nonlinear partial differential equation of second order was for example 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 (who have already tentatively agreed to participate) 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. Apart from 25 40-minute talks, we plan to ask the most senior participants to moderate additional problem sessions.

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 US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí­a (CONACYT).