WorldCat Identities

Pop, Florian

Overview
Works: 13 works in 32 publications in 2 languages and 804 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author
Publication Timeline
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Most widely held works by Florian Pop
Non-abelian fundamental groups and Iwasawa theory by J Coates( )

3 editions published between 2011 and 2012 in English and held by 417 WorldCat member libraries worldwide

"Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest advances in their research and to investigate possible avenues of future investigation and collaboration. For those in attendance, the overwhelming impression was that number theory is going through a tumultuous period of theory-building and experimentation analogous to the late 19th century, when many different special reciprocity laws of abelian class field theory were formulated before knowledge of the Artin-Takagi theory. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry"--
Projective group structures as absolute Galois structures with block approximation by Dan Haran( Book )

10 editions published in 2007 in English and held by 269 WorldCat member libraries worldwide

The authors prove: A proper profinite group structure G is projective if and only if G is the absolute Galois group structure of a proper field-valuation structure with block approximation
Galois-Teichmuller theory and arithmetic geometry( Book )

4 editions published in 2012 in English and held by 92 WorldCat member libraries worldwide

2017 IEEE 16th International Symposium on Parallel and Distributed Computing ISPDC 2017 : Innsbruck, Austria, 3-6 July 2017 : proceedings by International Symposium on Parallel and Distributed Computing( )

1 edition published in 2017 in English and held by 9 WorldCat member libraries worldwide

Galoissche Kennzeichnung p-adisch abgeschlossener Körper by Florian Pop( Book )

3 editions published between 1986 and 1987 in German and held by 6 WorldCat member libraries worldwide

An extension of Noether-Skolem theorem by Florian Pop( Book )

2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide

On the birational p-adic section conjecture by Florian Pop( Book )

2 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide

Commutative regular k-rings by Florian Pop( Book )

2 editions published in 1982 in Undetermined and English and held by 2 WorldCat member libraries worldwide

Isomorphisms of stratified absolute Galois groups by Florian Pop( Book )

1 edition published in 1990 in English and held by 1 WorldCat member library worldwide

Non-abelian fundamental groups in Iwasawa theory( Book )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

"Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest advances in their research and to investigate possible avenues of future investigation and collaboration. For those in attendance, the overwhelming impression was that number theory is going through a tumultuous period of theory-building and experimentation analogous to the late 19th century, when many different special reciprocity laws of abelian class field theory were formulated before knowledge of the Artin-Takagi theory. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry"--
On a representation theorem of Arens and Kaplansky by Florian Pop( Book )

1 edition published in 1981 in English and held by 1 WorldCat member library worldwide

Lifting problems and their independence of the coefficient field by Matti Perttu Åstrand( Book )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

Our aim is to find out new things about lifting problems in general and Oort groups in particular. We would like to know more about what kind of rings are needed to find liftings to characteristic 0 of covers of curves in characteristic p. For this, we use explicit parametrization of curves and model theory of algebraically closed fields and valued fields. The geometric machinery we need includes local-global principle of lifting problems and HKG-covers of ring extensions. We won't use formal or rigid geometry directly, although it is used to prove some of that machinery. Also we need some model theoretical results such as AKE-principles and Keisler-Shelah ultrapower theorem. To be able to use model theoretical tools we need to assume some bounds on the complexity of our curves. The standard way to do this is to bound the genus. What we want is that for the finite group G, the curves of a fixed genus can be lifted over a fixed ring extension. This kind of question--where both the curve and the ring are bounded--is well suited for model theoretical tools. For a fixed finite group G, we will show that for genus g and an algebraic integer pi, the statement "every G-cover Y → P1 with genus g has a lifting over W(k) [pi]" does not depend on k. In other words, it is either true for all algebraically closed fields k or none of them. This gives some reason to believe that being an Oort group does not depend on the field k. Also it might help in finding explicit bounds on the ring extension needed
The absolute Galois group of subfields of the field of totally S-adic numbers by Dan Haran( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

 
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Audience level: 0.49 (from 0.30 for Non-abelia ... to 0.99 for The absolu ...)

Projective group structures as absolute Galois structures with block approximation
Covers
Projective group structures as absolute Galois structures with block approximationNon-abelian fundamental groups in Iwasawa theory
Alternative Names
Florian Pop matemático rumano

Florian Pop mathématicien roumain

Florian Pop Romanian mathematician

Florian Pop rumänischer Mathematiker

Florian Pop wiskundige uit Roemenië

Φλοριάν Ποπ

Languages
English (28)

German (3)