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Ngandjia Mbembe , Chamir (2020) P-adic periods of one-dimensional commutative formal groups. [Magistrali biennali]

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Abstract

A n-dimension commutative formal group over a commutative ring R can be described in a general context, with very restrictive results. However if we restrict ourselves to the one-dimensional case over a p-adic integer ring, we get much more precised and accurate results, from their construction to their classification. The classification gives us a very important invariant of the class, which is the height. In addition to that there is a second invariant for a class, that is the Tate module attached to it. The latter invariant is a key tool for constructing algebraic and arithmetic structures attached to a formal group (the class). In this project we will discuss the p-adic period which at some extend is an invariant for the class of a commutative one-dimensional formal group over a p-adic ring.

Item Type:Magistrali biennali
Corsi di Diploma di Laurea:Scuola di Scienze > Matematica
Uncontrolled Keywords:formal group, ramification, p-adic ring, p-adic period
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria
Codice ID:64395
Relatore:Garuti , Marco
Data della tesi:15 July 2020
Biblioteca:Polo di Scienze > Biblioteca di Matematica
Tipo di fruizione per il documento:on-line per i full-text

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