Collection Complex Geometry, Dynamical Systems and Foliation Theory / Géométrie complexe, systèmes dynamiques et théorie de feuilletages
Complex geometry, complex dynamics and the theory of foliations have witnessed important progress in the last ten years, and fascinating connections have be drawn between these three fields. These subjects are advancing on many fronts due to several recent developments in pluripotential theory, Kähler geometry, and intersection theory for currents etc. with numerous applications inalgebraic geometry, and mathematical physics. The timing of this workshop is ideal for a diverse group of researchers to gather and discuss these advances and future research directions. We plan to include a considerable number of young researchers as well as international participants. The main focus of the conference are the following three main areas of research and their interactions:
Global analysis on complex manifolds, Bergman and Szegö kernel asymp-totics, equidistribution problems and universality results for zeros of ran-dom holomorphic sections, the theory of point processes.
Quantitative aspects in complex dynamics in one and several complex variables: Equilibrium states, Central Limit Theorems, Large Deviation Prin-ciple etc.
The analysis of currents, the intersection theory for currents, in particular, the theory of tangent and density of positive currents and its applications to the ergodic theory of singular holomorphic foliations etc. The connections between foliations and Kobayashi hyperbolicity questions.
Organizer(s) Marinescu, George ; Nguyên, Viêt Anh ; Wulcan, Elizabeth
Date(s) 10/17/22 - 10/21/22
linked URL https://conferences.cirm-math.fr/2639.html