Consani, Caterina
Overview
Works:  26 works in 45 publications in 2 languages and 619 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author 
Classifications:  QA641, 530.15255 
Publication Timeline
.
Most widely held works by
Caterina Consani
Noncommutative geometry and number theory : where arithmetic meets geometry and physics by
Caterina Consani(
Book
)
15 editions published between 2006 and 2014 in English and held by 153 WorldCat member libraries worldwide
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and KTheory. This volume collects and presents uptodate research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive padic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect
15 editions published between 2006 and 2014 in English and held by 153 WorldCat member libraries worldwide
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and KTheory. This volume collects and presents uptodate research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive padic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect
Noncommutative geometry, arithmetic, and related topics : proceedings of the Twentyfirst Meeting of the JapanU.S. Mathematics
Institute by JapanUnited States mathematics institute(
Book
)
5 editions published in 2011 in English and held by 84 WorldCat member libraries worldwide
5 editions published in 2011 in English and held by 84 WorldCat member libraries worldwide
The PicardLefschetz formula and a conjecture of Kato : the case of Lefschetz fibrations by
Caterina Consani(
)
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
Noncommutative geometry, arithmetic, and related topics(
Book
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
Archimedean cohomology revisited by
Caterina Consani(
Book
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
Quantum statistical mechanics over function fields by
Caterina Consani(
Book
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
New perspectives in Arakelov geometry by
Caterina Consani(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
The Weil proof and the geometry of the adeles class space by
Alain Connes(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Noncommutative geometry, dynamics, and ∞adic Arakelov geometry(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Quantum statistical mechanics over function fields(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
New perspectives in Arakelov geometry(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Noncommutative geometry and motives : the thermodynamics of endomotives by
Alain Connes(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Spectral triples from Mumford curves by
Caterina Consani(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Triplets spectraux en géométrie d'Arakelov(
)
1 edition published in 2002 in French and held by 1 WorldCat member library worldwide
1 edition published in 2002 in French and held by 1 WorldCat member library worldwide
The Weil proof and the geometry of the adeles class space(
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Spectral triples from Mumford curves(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Noncommutative geometry and motives : the thermodynamics of endomotives(
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Noncommutative geometry, dynamics, and adic Arakelov geometry by
Caterina Consani(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
A MovingLemma for a singular variety and applications to the Grothendieck group K0(x) by
Caterina Consani(
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
Spectral triples in Arakelov geometry by
Caterina Consani(
)
1 edition published in 2002 in Undetermined and held by 1 WorldCat member library worldwide
In this Note, we use Connes' theory of spectral triples to provide a connection between Manin's model of the dual graph of the fiber at infinity of an Arakelov surface and the cohomology of the mapping cone of the local monodromy
1 edition published in 2002 in Undetermined and held by 1 WorldCat member library worldwide
In this Note, we use Connes' theory of spectral triples to provide a connection between Manin's model of the dual graph of the fiber at infinity of an Arakelov surface and the cohomology of the mapping cone of the local monodromy
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