# BIRS workshop: Algebraic Dynamics and its Connections to Difference and Differential Equations

dynamical systems

Banff International Research Station

Audience: | Researchers in the topic |

Conference dates: | 09-Nov-2020 to 13-Nov-2020 |

Curator: | BIRS Programme Coordinator* |

*contact for this listing |

The field of algebraic dynamics has emerged over the past two decades at the confluence of algebraic geometry, discrete dynamical systems, and diophantine geometry. In recent work, striking connections have been observed between algebraic dynamics and much older theories of difference and differential equations. This meeting brings together mathematicians with expertise in such diverse fields as ring theory, complex dynamics, differential and difference algebra, combinatorics and algebraic geometry. New work towards the dynamical Mordell-Lang and dense orbit conjectures as well as theorems on hypertranscendence and functional independence proven by connecting difference Galois theory, algebraic dynamics and other algebraic approaches to the study offunctional equations will be presented at this meeting.