Dynamics of Hénon Maps: Real, Complex and Beyond (23w5038)

The Banff International Research Station will host the "Dynamics of Hénon Maps: Real, Complex and Beyond" workshop in Banff from April 9 to April 14, 2023.

Workshop Report - Click here to download

In the past forty years Henon maps have been extensively studied from different perspectives:

1) in real dynamics with the existence of strange attractor,
2) in complex dynamics, in the point of view of ergodic theory and bifurcation phenomena,
3) in arithmetic dynamics with the use of dynamical height to understand arithmetic phenomena.

Recently, the study of Henon maps has undergone new exciting developments, like the recent proof of the existence of wandering domain for complex H\'enon maps. This result was achieved by mixing techniques from different parts of dynamics, namely real and complex.

In this workshop we intend to pursue this trend by bringing together experts on real, complex and non-archimedean dynamics to get new perspectives in the study of Henon maps.

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).