Bifurcations in Several Complex Variables

Informazioni relative al progetto

BIF-SCV

ID dell’accordo di sovvenzione: 796004

DOI

10.3030/796004

Progetto concluso il 28 Agosto 2019

Data della firma CE 6 Aprile 2018

Data di avvio 1 Luglio 2018

Data di completamento 28 Gennaio 2021

Finanziato da

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Costo totale

€ 183 454,80

Contributo UE

€ 183 454,80

Coordinato da

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
United Kingdom

Periodic Reporting for period 1 - BIF-SCV (Bifurcations in Several Complex Variables)

Periodo di rendicontazione: 2018-07-01 al 2020-06-30

Sintesi del contesto e degli obiettivi generali del progetto

The field of holomorphic dynamics in several complex variables is a fast-growing area of mathematics, linking complex geometry, dynamical systems and many other topics. This project addresses the central question of studying stability and bifurcations of such dynamical systems under perturbation. The main objective are the establishing of a general stability theory valid for complex dynamical systems in any dimension, and a detailed understanding of the many differences with respect to the one dimensional case.

Lavoro eseguito dall’inizio del progetto fino alla fine del periodo coperto dalla relazione e principali risultati finora ottenuti

During this action we could provide first detailed examples of degenerations of complex dynamical systems in two complex variables. This solved questions by leading researchers in the domain. We continued our work on the bifurcation of polynomial skew products and started a detailed study of measures of large entropy for endomorphisms of Pk.

Progressi oltre lo stato dell’arte e potenziale impatto previsto (incluso l’impatto socioeconomico e le implicazioni sociali più ampie del progetto fino ad ora)

In the coming months we expect to complete the works in progress mentioned above, leading to a clearer picture of both the bifurcation phenomena in higher dimensions and the properties of measures of large entropy for endomorphisms of Pk.

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