m
• E

F Nous contacter

0

# Documents  14G22 | enregistrements trouvés : 44

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## The non-archimedean SYZ fibration and Igusa zeta functions - Part 1 Nicaise, Johannes | CIRM H

Post-edited

Algebraic and Complex Geometry

The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint work with Mircea Mustata and Chenyang Xu. The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## An overview on some recent results about $p$-adic differential equations over Berkovich curves Pulita, Andrea | CIRM H

Post-edited

I will give an introductory talk on my recent results about $p$-adic differential equations on Berkovich curves, most of them in collaboration with J. Poineau. This includes the continuity of the radii of convergence of the equation, the finiteness of their controlling graphs, the global decomposition by the radii, a bound on the size of the controlling graph, and finally the finite dimensionality of their de Rham cohomology groups, together with some local and global index theorems relating the de Rham index to the behavior of the radii of the curve. If time permits I will say a word about some recent applications to the Riemann-Hurwitz formula. I will give an introductory talk on my recent results about $p$-adic differential equations on Berkovich curves, most of them in collaboration with J. Poineau. This includes the continuity of the radii of convergence of the equation, the finiteness of their controlling graphs, the global decomposition by the radii, a bound on the size of the controlling graph, and finally the finite dimensionality of their de Rham cohomology groups, together ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Local acyclicity in $p$-adic geometry Scholze, Peter | CIRM H

Post-edited

Algebraic and Complex Geometry;Number Theory

Motivated by applications to the geometric Satake equivalence and in particular the construction of the fusion product, we define a notion of universally locally acyclic for rigid spaces and diamonds, and prove that it has the expected properties.

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Arithmétique des revêtements algébriquesacte du colloque de Saint-Etienne Deschamps, Bruno | Société Mathématique de France 2001

Congrès

- 214 p.
ISBN 978-2-85629-116-0

Séminaires et congrès , 0005

Localisation : Collection 1er étage

Théorie de Galois # problème inverse # revêtements # revêtement galoisien # (G-)revêtement # groupe fondamental # déformation # recollement # espace de modules grossiers et fins # espace de Hurwitz # monodromie # surface de Riemann # théorème d'existence de Riemann # courbes de genre 1 et 2 # jacobienne # corps de définition #corps des modules #espace de Hurwitz des modules grossier # gerbe des modèles # fonctions implicites # revêtement de la droite projective # GAGA # champs # gerbe # descente # ramification # automorphisme des courbes # théorème de Riemann-Roch Théorie de Galois # problème inverse # revêtements # revêtement galoisien # (G-)revêtement # groupe fondamental # déformation # recollement # espace de modules grossiers et fins # espace de Hurwitz # monodromie # surface de Riemann # théorème d'existence de Riemann # courbes de genre 1 et 2 # jacobienne # corps de définition #corps des modules #espace de Hurwitz des modules grossier # gerbe des modèles # fonctions implicites # revêtement de la ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## P-adic geometry :lectures from the 2007 Arizona winter schoolTucson # march 10-14, 2007 Baker, Matthew ; Conrad, Brian ; Dasgupta, Samit ; Kedlaya, Kiran S. ; Teitelbaum, Jeremy ; Savitt, David ; Thakur, Dinesh S. | American Mathematical Society 2008

Congrès

- xii; 203 p.
ISBN 978-0-8218-4468-7

University lecture series , 0045

Localisation : Collection 1er étage

géométrie p-adique # géométrie algébrique aritmétique # analyse p-adique # géométrie analytique rigide

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Séminaire Bourbaki. Vol. 2011/2012:exposés 1043-1058 | Société Mathématique de France 2013

Congrès

- xi; 556 p.
ISBN 978-2-85629-371-3

Astérisque , 0352

Localisation : Périodique 1er étage

Algorithme d'approximation # carte brownienne # cartes planaires # champ libre gaussien # champ moyen # choix social # concentration-compacité # condition nulle # configuration polynomiale # courbe elliptique # D-module holonome # difficulté d'approximation # équation aux dérivées partielles # équations d'Einstein # équations différentielles partielles # équations non-linéaires dispersives # espaces adiques # espaces de Berkovich # espaces homogènes # espaces métriques # espaces normés # espaces perfectoïdes # existence globale # fibré de Higgs # fibré holomorphe plat # forme quartique binaire # formule de KPZ # gravité quantique # groupe de Galois motivique # groupe de Selmer # groupes de Lie # groupes quasi-fuchsiens # hamiltonien # marches aléatoires # mélange exponentiel du fibré des repères # mesures de Liouville # mesures stationnaires # métrique harmonique # modération topologique # monodromie-poids # motifs de Tate mixtes # multizêtas # nonlinéaire # norme d'uniformité # orbites coadjointes # plongement métrique # principe de transfert # programmation semi-définie # Programme de Ribe # progression arithmétique # pureté # rang # réarrangement # Relativité générale # représentations des groupes algébriques réductifs # représentations des groupes de Lie compacts # résonances en espace temps # rigidité # singularités irrégulières # stabilité orbitale # surfaces enfermées # système stellaire auto-gravitant # théorème de Lefschetz difficile # théorie de Hodge # théorie géométrique des invariants # topologie étale # trous noirs # types stablement dominés # variétés de drapeaux # variétés hyperboliques de dimension 3 # Vlasov-Poisson Algorithme d'approximation # carte brownienne # cartes planaires # champ libre gaussien # champ moyen # choix social # concentration-compacité # condition nulle # configuration polynomiale # courbe elliptique # D-module holonome # difficulté d'approximation # équation aux dérivées partielles # équations d'Einstein # équations différentielles partielles # équations non-linéaires dispersives # espaces adiques # espaces de Berkovich # espaces ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Tropical and non-Archimedean geometry.Bellairs workshop in number theory, tropical and non-Archimedean geometryHoletown # may 6-13, 2011 Amini, Omid ; Baker, Matthew ; Faber, Xander | American Mathematical Society;Centre De Recherches Mathematiques 2013

Congrès

- xiv; 256 p.
ISBN 978-1-4704-1021-6

Contemporary mathematics , 0605

Localisation : Collection 1er étage

géométrie tropicale # géométrie analytique # géométrie non-Archimédienne # structures polyèdrales # courbes tropicales # courbes algébriques # espaces de Berkovich

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Arithmetic and geometry:ten years in Alpbach Wüstholz, Gisbert ; Fuchs, Clemens | Princeton University Press 2019

Congrès

- viii; 174 p.
ISBN 978-0-691-19377-9

Annals of mathematics studies , 0202

Localisation : Ouvrage RdC (ARIT)

géométrie algébrique # variété de Shimura # fraction continue hyperelliptique # Jacobien # hauteur de Faltings # conjecture locale de Langlands # équation de Pell

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Algebra, logic and number theory.Proceedings of the 5th joint conferences on algebra, logic and number theoryBedlewo # June 24-29, 2018 Gladki, Pawel ; Koenigsmann, Jochen ; Koprowski, Przemyslaw ; Kubis, Wieslaw ; Kucera, Radan ; Kuhlmann, Franz-Viktor ; Misik, Ladislav | Polish Academy Of Science Institute Of Mathematics 2020

Congrès

- 170 p.
ISBN 978-83-86806-47-8

Banach center publications , 0121

Localisation : Périodique 1er étage

théorie des nombres # algèbre réelle # forme quadratique # groupe algébrique linéaire # K-théorie # géométrie algébrique

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Perfectoid spaces: lectures from the 2017 Arizona winter school Bhatt, Bhargav ; Caraiani, Ana ; Kedlaya, Kiran S. ; Weinstein, Jared ; Scholze, Peter ; Cais, Bryden | American Mathematical Society 2019 Nouveau

Congrès

- xii; 297 p.
ISBN 978-1-4704-5015-1

Mathematical surveys and monographs , 0242

Localisation : Collection 1er étage

espace topologique # théorie des nombres # espace perfectoïde # espace adique

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## $P$-adic cohomology of the Lubin-Tate tower Scholze, Peter | CIRM

Multi angle

We prove a finiteness result on the $p$-adic cohomology of the Lubin-Tate tower, which allows one to go from mod $p$ and $p$-adic
$GL_n (F)$-representations to Galois representations (compatibly with some global cor-respondences).

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## The Witt vector affine Grassmannian Scholze, Peter | CIRM H

Multi angle

Algebraic and Complex Geometry;Number Theory

(joint with Bhargav Bhatt) We prove that the space of $W(k)$-lattices in $W(k)[1/p]^n$, for a perfect field $k$ of characteristic $p$, has a natural structure as an ind-(perfect scheme). This improves on recent results of Zhu by constructing a natural ample line bundle on the space of such lattices.

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## The non-archimedean SYZ fibration and Igusa zeta functions - Part 2 Nicaise, Johannes | CIRM H

Multi angle

Algebraic and Complex Geometry

The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint work with Mircea Mustata and Chenyang Xu. The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## The non-archimedean SYZ fibration and Igusa zeta functions - Part 3 Nicaise, Johannes | CIRM H

Multi angle

Algebraic and Complex Geometry

The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint work with Mircea Mustata and Chenyang Xu. The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its relations with the Minimal Model Program and Igusa's p-adic zeta functions. No prior knowledge of non-archimedean geometry is assumed. These lectures are based on joint ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## de Rham theorem in non-Archimedean analytic geometry Berkovich, Vladimir | CIRM H

Multi angle

Algebraic and Complex Geometry

In my work in progress on complex analytic vanishing cycles for formal schemes, I have defined integral "etale" cohomology groups of a compact strictly analytic space over the field of Laurent power series with complex coefficients. These are finitely generated abelian groups provided with a quasi-unipotent action of the fundamental group of the punctured complex plane, and they give rise to all $l$-adic etale cohomology groups of the space. After a short survey of this work, I will explain a theorem which, in the case when the space is rig-smooth, compares those groups and the de Rham cohomology groups of the space. The latter are provided with the Gauss-Manin connection and an additional structure which allow one to recover from them the "etale" cohomology groups with complex coefficients. In my work in progress on complex analytic vanishing cycles for formal schemes, I have defined integral "etale" cohomology groups of a compact strictly analytic space over the field of Laurent power series with complex coefficients. These are finitely generated abelian groups provided with a quasi-unipotent action of the fundamental group of the punctured complex plane, and they give rise to all $l$-adic etale cohomology groups of the space. ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Explosion of Lyapunov exponents using non-Archimedean geometry Favre, Charles | CIRM H

Multi angle

Algebraic and Complex Geometry

We consider a meromorphic family of endomorphisms of the complex projective space parameterized by the unit disk, and show that the blow-up of the Lyapunov exponent near the origin is controlled by a non-Archimedean quantity.

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Integral $p$-adic étale cohomology of Drinfeld spaces Dospinescu, Gabriel | CIRM H

Multi angle

Algebraic and Complex Geometry;Number Theory

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## On comparison theorems for rigid analytic spaces Niziol, Wieslawa | CIRM H

Multi angle

Algebraic and Complex Geometry;Number Theory

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## A Jacobian criterion for smoothness of algebraic diamonds Fargues, Laurent | CIRM H

Multi angle

Algebraic and Complex Geometry;Number Theory

(joint work with Peter Scholze) In our joint work with Scholze we need to give a meaning to statements like "the stack of principal G-bundles on the curve is smooth of dimension 0" and construct "smooth perfectoid charts on it". The problem is that in the perfectoid world there is no infinitesimals and thus no Jacobian criterion that would allow us to define what is a smooth morphism. The good notion in this setting is the one of a cohomologically smooth morphism, a morphism that satisfies relative Poincaré duality. I will explain a Jacobian criterion of cohomological smoothness for moduli spaces of sections of smooth algebraic varieties over the curve that allows us to solve our problems. (joint work with Peter Scholze) In our joint work with Scholze we need to give a meaning to statements like "the stack of principal G-bundles on the curve is smooth of dimension 0" and construct "smooth perfectoid charts on it". The problem is that in the perfectoid world there is no infinitesimals and thus no Jacobian criterion that would allow us to define what is a smooth morphism. The good notion in this setting is the one of a coho...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Relative integral $p$-adic Hodge theory Morrow, Matthew | CIRM H

Multi angle

Algebraic and Complex Geometry;Number Theory

Given a smooth scheme $X$ over the ring of integers of a $p$-adic field, we introduce the notion of a relative Breuil-Kisin-Fargues module $M$ on $X$. Each such $M$ simultaneously encodes the data of a lisse étale sheaf, a module with flat connection, and a crystal, whose cohomologies are then intertwined by a relative form of the $A_{inf}$ cohomology introduced in "Integral $p$-adic Hodge theory" by Bhatt-M-Scholze. They are moreover closely related to other work in relative $p$-adic Hodge theory, notably Faltings small generalised representations and his relative Fontaine Lafaille theory. Joint with Takeshi Tsuji. Given a smooth scheme $X$ over the ring of integers of a $p$-adic field, we introduce the notion of a relative Breuil-Kisin-Fargues module $M$ on $X$. Each such $M$ simultaneously encodes the data of a lisse étale sheaf, a module with flat connection, and a crystal, whose cohomologies are then intertwined by a relative form of the $A_{inf}$ cohomology introduced in "Integral $p$-adic Hodge theory" by Bhatt-M-Scholze. They are moreover closely ...

#### Filtrer

##### Langue

Titres de périodiques et e-books électroniques (Depuis le CIRM)

Ressources Electroniques

Books & Print journals

Recherche avancée

0
Z