Dynamics of Henon Maps: Real, Complex and Beyond (21w5085)

Organizers

(Institut de Mathématiques de Toulouse)

Tanya Firsova (Kansas State University)

(Université de Picardie- Jules Verne)

Description

The Banff International Research Station will host the "Dynamics of Henon Maps: Real, Complex and Beyond" workshop in Banff from April 4 to April 09, 2021.


In the past forty years, Hénon maps have been extensively studied, from different perspectives:
- in real dynamics with the existence of strange attractor.
- in complex dynamics, in the point of view of ergodic theory and bifurcation phenomena.
- in algebraic dynamics with the construction of dynamical height to understand arithmetic phenomena.

Recently, the study of Hénon maps has undergone new exciting developments, like the recent proof of the existence of wandering domain for complex Hénon 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 Hénon 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).