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Documents  14J32 | enregistrements trouvés : 39

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Phenomenological approach to algebraic geometry.Contributions resulting from the Algebraic geometry Simons semester miniPAGES # 2016 Buczynski, Jaroslaw ; Cynk, Slawomir ; Szemberg, Tomasz | Institute of Mathematics, Polish Academy of Sciences 2018

Congrès

- 258 p.
ISBN 978-83-86806-38-6

Banach center publications , 0116

Localisation : Périodique 1er étage

géométrie algébrique # géométrie différentielle # variété hyper-kählérienne # surface K3 # variété de Calabi-Yau # courbe # hyperplan # conjecture de Nagata # corps de Newton-Okounkov

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On the classification of hyperbolic root systems of rank three Nikulin, V. V. | Steklov Institute of Mathematics;MAIK Nauka/Interperiodica Publishing 2000

Congrès

- 241 p.
ISBN

Proceedings of the Steklov institute of mathematics , 0230

Localisation : Collection 1er étage

algèbre d'anneau non-associatif # algèbre de Kac-Moody # programme de modèle minimal # symmétrie miroire # géométrie réflective # figure régulière # treillis # système racine hyperbolique # classification

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Calabi-Yau manifolds and related geometries :lectures at a summer school in Nordfjordeid#June 2001 Gross, Mark ; Huybrechts, Daniel ; Joyce, Dominic | Springer 2003

Congrès

- 239 p.
ISBN 978-3-540-44059-8

Universitext

Localisation : Colloque 1er étage (NORD)

géométrie algébrique # variété de Calabi-Yau # théorie de Calabi-Yau # symétrie miroir # groupe d'holonomie # conjecture de Calabi # variété symplectique # variété hyperkählérienne

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Calabi-Yau varieties and mirror symmetry : proceedings of the Workshop on arithmetic, geometry and physics around Calabi-Yau varieties and mirror symmetry#July 23-29 Yui, Noriko ; Lewis, James D. | American Mathematical Society 2003

Congrès

- 367 p.
ISBN 978-0-8218-3355-1

Fields institute communications , 0038

Localisation : Collection 1er étage;Réserve

variété de Calabi-Yau # symétrie miroire # modularité # conjecture de Bloch-Beilinson # équation différentielle de Picard-Fuchs # système hypergéométrique GKZ # fonction zeta # L-série

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Strings and geometry :Proceedings of the Clay mathematics institute#March 24 - April 20 Douglas, Michael ; Gauntlett, Jerome ; Gross, Mark | American Mathematical Society 2004

Congrès

- 376 p.
ISBN 978-0-8218-3715-3

Clay mathematics proceedings , 0003

Localisation : Colloque 1er étage (CAMB)

théorie quantique # géométrie algébrique # géométrie différentielle # relativité # holonomie # théorie des cordes # géométrie Kälhérienne # intégration motivique

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Mirror symmetry V :proceedings of the BIRS workshop on Calabi-Yau varieties and mirror symmetry#Dec. 6-11banff international research stationfor mathematics innovation & discovery Yui, Noriko ; Yau, Shing-Tung ; Lewis, James D. | Amercian Mathematical Society;International Press 2006

Congrès

- 576 p.
ISBN 978-0-8218-4251-5

Studies in advanced mathematics (AMS/IP) , 0038

Localisation : Collection 1er étage

symétrie miroir # géométrie différentielle # géométrie analytique # variétés de Calabi-Yau # surface algébrique # physique # théorie de Calabi-Yau # espace analytique compact # théorie des chaînes

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Integer points in polyhedra-geometry, number theory, representation theory, algebra, optimization, statistics :AMS-IMS-SIAM joint summer research conference#June 11-15 Beck, Matthias ; Haase, Christian ; Reznick, Bruce ; Vergne , Michele | Amercian Mathematical Society 2008

Congrès

- 187 p.
ISBN 978-0-8218-4173-0

Contemporary mathematics , 0452

Localisation : Collection 1er étage

polytôpe latticiel # combinatoire énumérative exacte # équation diophantienne linéaire # lattice # base de Gröbner # variété torique # variété de Calabi-Yau # symétrie miroir # programmation linéaire en nombres entiers

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Gems in experimental mathematicsAMS special session on experimental mathematicsWashington # january 5, 2009 Amdeberhan, Tewodros ; Medina, Luis A. ; Moll, Victor H. | American Mathematical Society 2010

Congrès

- vii; 413 p.
ISBN 978-0-8218-4869-2

Contemporary mathematics , 0517

Localisation : Collection 1er étage

analyse combinatoire # théorie des nombres # mathématiques expérimentales # Maple # Mathematica

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Mirror symmetry and tropical geometry.NSF-CBMS conference on tropical geometry and mirror symmetryManhattan # december 13-17, 2008 Castano-Bernard, Ricardo ; Soibelman, Yan ; Zharkov, Ilia | American Mathematical Society 2010

Congrès

- xi; 168 p.
ISBN 978-0-8218-4884-5

Contemporary mathematics , 0527

Localisation : Collection 1er étage

géométrie algébrique # symétrie miroir # variétés de Calabi-Yau # géométrie tropical # invariant de Gromov-witten # géométrie symplectique

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Contributions to algebraic geometry:Impanga lecture notes.Based on the Impanga conference on algebraic geometryBedlewo # july 4-10, 2010 Pragacz, Piotr | European Mathematical Society 2012

Congrès

- xii; 504 p.
ISBN 978-3-03719-114-9

Series of congress reports

Localisation : Colloque 1er étage (BEDL)

géométrie algébrique # Zariski # surface K3 # surface de Enriques # variétés de Calabi-Yau # système linéaire # constante de Seshadri # forme différentielle # théorie de Mori # anneau canonique # nombres de Hodge # forme différentielle logarithmique # variétés de Prym # espace de module # déterminant de Wron # ODE linéaire # calculus de Schubert # Grassmannien # variétés de Schubert # fonction de Schur # singularités # polynôme de Thom # P-idéal # variétés torique # variétés symplectique # quotient symplectique # cohomologie équivariente # groupe de Bloch # norme # extention de corps géométrie algébrique # Zariski # surface K3 # surface de Enriques # variétés de Calabi-Yau # système linéaire # constante de Seshadri # forme différentielle # théorie de Mori # anneau canonique # nombres de Hodge # forme différentielle logarithmique # variétés de Prym # espace de module # déterminant de Wron # ODE linéaire # calculus de Schubert # Grassmannien # variétés de Schubert # fonction de Schur # singularités # polynôme de Thom # P-idéal ...

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Derived categories in algebraic geometry:proceedings of a conferenceTokyo # january 2011 Kawamata, Yujiro | European Mathematical Society 2012

Congrès

- viii; 346 p.
ISBN 978-3-03719-115-6

Series of congress reports

Localisation : Colloque 1er étage (TOKY)

géométrie algébrique # catégories # catégories de faisceaux # catégories dérivées

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Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds.Proceedings of the workshopToronto # august 16-25, 2011 Laza, Radu ; Schütt, Matthias ; Yui, Noriko | Springer;The Fields Institute for Research in Mathematical Sciences 2013

Congrès

- xxvi; 602 p.
ISBN 978-1-4614-6402-0

Fields institute communications , 0067

Localisation : Collection 1er étage

surface algébriques # variétés à 3 dimensions # variétés de Calabi-Yau # cycle algébrique

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Calabi-Yau varieties: arithmetic, geometry and physics: lecture notes on concentrated graduate coursesToronto # July 1 - December 31, 2013 Laza, Radu ; Schütt, Matthias ; Yui, Noriko | Springer;The Fields Institute for Research in Mathematical Sciences 2015

Congrès

- x; 547 p.
ISBN 978-1-4939-2829-3

Fields institute monographs , 0034

Localisation : Collection 1er étage

variété de Calabi-Yau # théorie des cordes # théorie de Hodge # programme de Gross-Siebert # problème de modules # tore

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Minimal models and extremal rays.Proceedings of the conferenceKyoto # June 20-24, 2011 Kollár, János ; Fujino, Osamu ; Mukai, Shigeru ; Nakayama, Noboru | Mathematical Society of Japan 2016

Congrès

- 420 p.
ISBN 978-4-86497-036-5

Advanced studies in pure mathematics , 0070

Localisation : Collection 1er étage

géométrie algébrique # modèle minimal # singularité

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Toric non-abelian Hodge theory Hausel, Tamás | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

We will overview some conjectures on the mixed Hodge structure of character varieties in the framework of non-abelian Hodge theory on a Riemann surface. Then we introduce and study toric analogues of these spaces, in particular we prove that the toric character variety retracts to its core, the zero fiber of the toric Hitchin map, that its cohomology is Hodge-Tate and satisfies curious Hard Lefschetz, as well as the purity conjecture. We will indicate how these shed light on the $P=W$ conjecture in the toric case as well as for general character varieties. This is based on joint work with Nick Proudfoot. We will overview some conjectures on the mixed Hodge structure of character varieties in the framework of non-abelian Hodge theory on a Riemann surface. Then we introduce and study toric analogues of these spaces, in particular we prove that the toric character variety retracts to its core, the zero fiber of the toric Hitchin map, that its cohomology is Hodge-Tate and satisfies curious Hard Lefschetz, as well as the purity conjecture. We will ...

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Calabi-Yau manifolds, mirror symmetry, and $F$-theory - part I Morrison, David R. | CIRM H

Multi angle

Research School;Algebraic and Complex Geometry;Mathematical Physics

There are five superstring theories, all formulated in 9+1 spacetime dimensions; lower-dimensional theories are studied by taking some of the spatial dimensions to be compact (and small). One of the remarkable features of this setup is that the same lower-dimensional theory can often be realized by pairing different superstring theories with different geometries. The focus of these lectures will be on the mathematical implications of some of these physical “dualities.”
Our main focus from the string theory side will be the superstring theories known as type IIA and type IIB. The duality phenomenon occurs for compact spaces of various dimensions and types. We will begin by discussing “T-duality” which uses tori as the compact spaces. We will then digress to introduce M-theory as a strong-coupling limit of the type IIA string theory, and F-theory as a variant of the type IIB string theory whose existence is motivated by T-duality. The next topic is compactifying the type IIA and IIB string theories on K3 surfaces (where the duality involves a change of geometric parameters but not a change of string theory).
By the third lecture, we will have turned our attention to Calabi-Yau manifolds of higher dimension, and the “mirror symmetry” which relates pairs of them. Various aspects of mirror symmetry have various mathematical implications, and we will explain how these are conjecturally related to each other.
There are five superstring theories, all formulated in 9+1 spacetime dimensions; lower-dimensional theories are studied by taking some of the spatial dimensions to be compact (and small). One of the remarkable features of this setup is that the same lower-dimensional theory can often be realized by pairing different superstring theories with different geometries. The focus of these lectures will be on the mathematical implications of some of ...

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Calabi-Yau manifolds, mirror symmetry, and $F$-theory - part II Morrison, David R. | CIRM H

Multi angle

Research School;Algebraic and Complex Geometry;Mathematical Physics

There are five superstring theories, all formulated in 9+1 spacetime dimensions; lower-dimensional theories are studied by taking some of the spatial dimensions to be compact (and small). One of the remarkable features of this setup is that the same lower-dimensional theory can often be realized by pairing different superstring theories with different geometries. The focus of these lectures will be on the mathematical implications of some of these physical “dualities.”
Our main focus from the string theory side will be the superstring theories known as type IIA and type IIB. The duality phenomenon occurs for compact spaces of various dimensions and types. We will begin by discussing “T-duality” which uses tori as the compact spaces. We will then digress to introduce M-theory as a strong-coupling limit of the type IIA string theory, and F-theory as a variant of the type IIB string theory whose existence is motivated by T-duality. The next topic is compactifying the type IIA and IIB string theories on K3 surfaces (where the duality involves a change of geometric parameters but not a change of string theory).
By the third lecture, we will have turned our attention to Calabi-Yau manifolds of higher dimension, and the “mirror symmetry” which relates pairs of them. Various aspects of mirror symmetry have various mathematical implications, and we will explain how these are conjecturally related to each other.
There are five superstring theories, all formulated in 9+1 spacetime dimensions; lower-dimensional theories are studied by taking some of the spatial dimensions to be compact (and small). One of the remarkable features of this setup is that the same lower-dimensional theory can often be realized by pairing different superstring theories with different geometries. The focus of these lectures will be on the mathematical implications of some of ...

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Semi-infinite Hodge structures in noncommutative geometry Shklyarov, Dmytro | CIRM H

Multi angle

Research talks;Algebra;Algebraic and Complex Geometry

Homological mirror symmetry asserts that the connection, discovered by physicists, between a count of rational curves in a Calabi-Yau manifold and period integrals of its mirror should follow from an equivalence between the derived Fukaya category of the first manifold and the derived category of coherent sheaves on the second one. Physicists' observation can be reformulated as, or rather upgraded to, a statement about an isomorphism of certain Hodge-like data attached to both manifolds, and a natural first step towards proving the above assertion would be to try to attach similar Hodge-like data to abstract derived categories. The aim of the talk is to report on some recent progress in this direction and illustrate the approach in the context of what physicists call Landau-Ginzburg B-models. Homological mirror symmetry asserts that the connection, discovered by physicists, between a count of rational curves in a Calabi-Yau manifold and period integrals of its mirror should follow from an equivalence between the derived Fukaya category of the first manifold and the derived category of coherent sheaves on the second one. Physicists' observation can be reformulated as, or rather upgraded to, a statement about an isomorphism of certain ...

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Orbital degeneracy loci Benedetti, Vladimiro | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

I will present a joint work with Sara Angela Filippini, Laurent Manivel and Fabio Tanturri (arXiv: 1704.01436). We introduce a new class of varieties, called orbital degeneracy loci. The idea is to use any orbit closure in a representation of an algebraic group to generalise the classical construction of degeneracy loci of morphisms between vector bundles, and of zero loci as well. After giving the definition of an orbital degeneracy locus, I will explain how to control the canonical bundle of these varieties: under some Gorenstein condition on the orbit closure, it is possible to construct examples of varieties with trivial canonical bundle or of Fano type. Finally, if time will permit, I will give some explicit examples of such degeneracy loci, which allow to construct many Calabi-Yau varieties of dimension three and four, and some new Fano fourfolds. I will present a joint work with Sara Angela Filippini, Laurent Manivel and Fabio Tanturri (arXiv: 1704.01436). We introduce a new class of varieties, called orbital degeneracy loci. The idea is to use any orbit closure in a representation of an algebraic group to generalise the classical construction of degeneracy loci of morphisms between vector bundles, and of zero loci as well. After giving the definition of an orbital degeneracy locus, I ...

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Symétrie miroir Voisin, Claire | Société Mathématique de France 1996

Ouvrage

ISBN 978-2-85629-048-4

Panoramas et synthèses , 0002

Localisation : Collection 1er étage

cohomologie de Dolbeault # cohomologie quantique # conjecture de Gepner # construction de Givental # interprétation de Witten # origine physique # quantification # symétrie miroir # travaux de Batyrev # travaux de Candelas- de la Ossa-Green- Parkes # variété de Calabi Yau

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