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
.
Most widely held works by
Florian Pop
Nonabelian 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 nonabelian phenomena: the Langlands programme, noncommutative 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 theorybuilding 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 ArtinTakagi theory. Nonabelian 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 asyetundiscovered unified theory of nonabelian arithmetic geometry"
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 nonabelian phenomena: the Langlands programme, noncommutative 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 theorybuilding 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 ArtinTakagi theory. Nonabelian 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 asyetundiscovered unified theory of nonabelian 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 fieldvaluation structure with block approximation
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 fieldvaluation structure with block approximation
GaloisTeichmuller theory and arithmetic geometry(
Book
)
4 editions published in 2012 in English and held by 92 WorldCat member libraries worldwide
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, 36 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
1 edition published in 2017 in English and held by 9 WorldCat member libraries worldwide
Galoissche Kennzeichnung padisch abgeschlossener Körper by
Florian Pop(
Book
)
3 editions published between 1986 and 1987 in German and held by 6 WorldCat member libraries worldwide
3 editions published between 1986 and 1987 in German and held by 6 WorldCat member libraries worldwide
An extension of NoetherSkolem theorem by
Florian Pop(
Book
)
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
On the birational padic section conjecture by
Florian Pop(
Book
)
2 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
Commutative regular krings by
Florian Pop(
Book
)
2 editions published in 1982 in Undetermined and English and held by 2 WorldCat member libraries worldwide
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
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Nonabelian 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 nonabelian phenomena: the Langlands programme, noncommutative 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 theorybuilding 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 ArtinTakagi theory. Nonabelian 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 asyetundiscovered unified theory of nonabelian arithmetic geometry"
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 nonabelian phenomena: the Langlands programme, noncommutative 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 theorybuilding 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 ArtinTakagi theory. Nonabelian 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 asyetundiscovered unified theory of nonabelian 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
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 localglobal principle of lifting problems and HKGcovers 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 AKEprinciples and KeislerShelah 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 questionwhere both the curve and the ring are boundedis 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 Gcover 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
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 localglobal principle of lifting problems and HKGcovers 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 AKEprinciples and KeislerShelah 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 questionwhere both the curve and the ring are boundedis 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 Gcover 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 Sadic numbers by
Dan Haran(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Coates, John Author Editor
 Kim, Minhyong Editor
 Schneider, Peter Editor
 Saïdi, Mohamed Editor
 Jarden, Moshe 1942
 Haran, Dan Author
 Schneps, Leila Editor
 Nakamura, Hiroaki 1965 Editor
 Tamagawa, Akio Editor
 Institute of Electrical and Electronics Engineers
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