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BIF-SCV

Bifurcations in Several Complex Variables

Total Cost €

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EC-Contrib. €

0

Partnership

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Project "BIF-SCV" data sheet

The following table provides information about the project.

Coordinator
IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE 

Organization address
address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ
website: http://www.imperial.ac.uk/

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website http://wwwf.imperial.ac.uk/
 Total cost 183˙454 €
 EC max contribution 183˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2017
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-07-01   to  2021-01-28

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE UK (LONDON) coordinator 183˙454.00

Map

 Project objective

This fellowship builds on the success of the applicant’s PhD thesis, where he made breakthroughs in the area of holomorphic dynamics in several complex variables. 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 applicant’s foundational work has prepared the ground for significant advances in the subject, forming the basis for this project.

This project specifically aims at the extension of parabolic implosion techniques (field in which the supervisor is a world-leading expert) from their natural one dimensional setting to higher dimensions (the applicant’s area of expertise). This proposal has three main directions.

1 - Establish the equivalence of various possible definitions of dynamical stability in this setting, and study in depth the many differences between the one and the several complex variables setting.

2 - Extend the theory to the case of systems of saddle type, i.e., generically displaying a repelling and an attracting direction. This case contains the Henon maps (polynomial diffeomorphisms of C^2), as well as explains the local dynamics near attracting sets for endomorphisms of P^2 (C).

3 - As part of the above points, contribute to a general theory of parabolic implosion in higher dimension.

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The information about "BIF-SCV" are provided by the European Opendata Portal: CORDIS opendata.

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