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Towards a unified theory of surfaces 5

Objective



At the research level, this proposal aims to address the conjectured relations between the algebraic, diophantine,and hyperbolic geometry of surfaces,as conjectured by lang, vojta,bombieri et AL. Specifically it intends to concentrate on the relation between the algebraic and hyperbolic geometry (via my method of dynamic diophantine approximation) together with its topological implications,in addition the arithmetic consequences (particularly improvements in Roths's theorem) which the said method may have will be considered.
In this respect,while further advanced and more sharply focused, the research themes are broadly similar to those ennunciated on obtaining my aforementioned research training grant. However,being of category 40 type, this proposal includes the intention to broaden the base of the neopolitan mathematical community through frequent lectures and seminars on this and related material.

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Address
Complesso Universitario Monte S.angelo, Edificio T
80126 Napoli
Italy

Participants (1)

Not available
United Kingdom