This workshop is dedicated to the interactions between holomorphic dynamics, foliation theory

and birational geometry.

There is a long track record of important interplay between these three fields: for instance, foliation theory plays a central role in the proof of the Abundance Conjecture in dimension 3, and the proof of the BAB conjecture has had important implications for the study of dynamics of birational automorphisms of varieties.

There has been recent progress on the study of the birational geometry of foliations, especially in regards to the development of the minimal model program for foliations, which has had implications for the study of dynamics of foliations.   In particular, there has been recent work linking classical dynamical properties in foliation theory to corresponding notions in birational geometry.  These links suggest deeper connections which remain unexplored, and which could promote fruitful collaboration between experts in these fields.

The goal of the workshop is to discuss these recent advances, and their implications for birational geometry, dynamics and arithmetic geometry.

We will bring together specialists in these fields.

The list of invited speakers includes both UK-based and non-UK based mathematicians, we also aim to invite early-career mathematicians as ones who suffered most from the pandemic. The meeting will be open to all with the registration link available later. 

Organisers

Workshop is organized by C. Spicer (King's College) and N. Kurnosov (UCL).