# H-holomorphic maps in symplectic manifolds (10rit146)

## Organizers

Olguta Buse (Indiana University-Purdue University Indianapolis)

(University of Notre Dame)

(University of Illinois at Urbana-Champaign)

Jens von Bergmann (University of Calgary)

## Description

The Banff International Research Station will host the "H-holomorphic maps in symplectic manifolds" workshop from April 11 to 18, 2010.

Symplectic geometry is the modern mathematical language for classical mechanics. This formulation leads naturally to general questions about the behavior of all Hamiltonian systems.

Ultimately we would like to obtain classification theorems that tell us for example what kind of dynamics a certain phase space allows. Gromov showed that all Hamiltonian dynamics on real four--dimensional phase space $mathbb{R}^4$ (which is "standard" at infinity) is the same as Hamiltonian dynamics on the standard $mathbb{R}^4$. This workshop aims to generalize this result to phase spaces with other topologies.

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 Tecnologï¿½a (CONACYT).