m
• E

F Nous contacter

0

# Documents  14E18 | enregistrements trouvés : 13

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

Research talks;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.

## Arc spaces and singularities in the minimal model program - Lecture 1 de Fernex, Tommaso | CIRM H

Post-edited

Research talks;Algebraic and Complex Geometry

The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the second lecture. The last two lectures are devoted to some applications of arc spaces toward a conjecture on minimal log discrepancies known as inversion of adjunction. Minimal log discrepancies are invariants of singularities appearing in the minimal model program, a quick overview of which is given in the third lecture. The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Zeta functions and monodromy Veys, Wim | CIRM H

Post-edited

Research talks;Algebraic and Complex Geometry;Number Theory

The $p$-adic Igusa zeta function, topological and motivic zeta function are (related) invariants of a polynomial $f$, reflecting the singularities of the hypersurface $f = 0$. The first one has a number theoretical flavor and is related to counting numbers of solutions of $f = 0$ over finite rings; the other two are more geometric in nature. The monodromy conjecture relates in a mysterious way these invariants to another singularity invariant of $f$, its local monodromy. We will discuss in this survey talk rationality issues for these zeta functions and the origins of the conjecture. The $p$-adic Igusa zeta function, topological and motivic zeta function are (related) invariants of a polynomial $f$, reflecting the singularities of the hypersurface $f = 0$. The first one has a number theoretical flavor and is related to counting numbers of solutions of $f = 0$ over finite rings; the other two are more geometric in nature. The monodromy conjecture relates in a mysterious way these invariants to another singularity invariant of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Algebraic geometry : Salt Lake City 2015 - Part 2.2015 summer research institute in algebraic geometrySalt Lake City # July 13-31, 2015 de Fernex, Tommaso ; Hassett, Brendan ; Mustata, Mircea ; Olsson, Martin ; Popa, Mihnea ; Thomas, Richard | American Mathematical Society;Clay Mathematics Institute 2018

Congrès

- xv; 635 p.
ISBN 978-1-4704-3578-3

Proceedings of symposia in pure mathematics , 0097

Localisation : Collection 1er étage

géométrie algébrique # géométrie birationnelle # homologie # cohomologie # symétrie miroir # invariant de Gromov-Witten # algèbre modulaire

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Algebraic geometry : Salt Lake City 2015 - Part 1.2015 summer research institute in algebraic geometrySalt Lake City # July 13-31, 2015 de Fernex, Tommaso ; Hassett, Brendan ; Mustata, Mircea ; Olsson, Martin ; Popa, Mihnea ; Thomas, Richard | American Mathematical Society;Clay Mathematics Institute 2018

Congrès

- xv; 655 p.
ISBN 978-1-4704-3577-6

Proceedings of symposia in pure mathematics , 0097

Localisation : Collection 1er étage

géométrie algébrique # géométrie birationnelle # homologie # cohomologie # symétrie miroir # invariant de Gromov-Witten # algèbre modulaire

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Lectures in model theory.Lectures notes from a spring school in model theoryMünster # spring 2016 Jahnke, Franziska ; Palacin, Daniel ; Tent, Katrin | European Mathematical Society 2018

Congrès

- vii; 212 p.
ISBN 978-3-03719-184-2

Münster lectures in mathematics

Localisation : Colloque 1er étage (MÜNS)

logique # théorie du modèle # théorie de la stabilité # théorie NIP # théorie de l'évaluation # géométrie diophantienne # théorie algébrique des nombres # théorie des groupes # combinatoire

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

Research talks
;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 2 Nicaise, Johannes | CIRM H

Multi angle

Research talks;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.

## Arc spaces and singularities in the minimal model program - Lecture 4 de Fernex, Tommaso | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the second lecture. The last two lectures are devoted to some applications of arc spaces toward a conjecture on minimal log discrepancies known as inversion of adjunction. Minimal log discrepancies are invariants of singularities appearing in the minimal model program, a quick overview of which is given in the third lecture. The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Arc spaces and singularities in the minimal model program - Lecture 3 de Fernex, Tommaso | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the second lecture. The last two lectures are devoted to some applications of arc spaces toward a conjecture on minimal log discrepancies known as inversion of adjunction. Minimal log discrepancies are invariants of singularities appearing in the minimal model program, a quick overview of which is given in the third lecture. The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Arc spaces and singularities in the minimal model program - Lecture 2 de Fernex, Tommaso | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the second lecture. The last two lectures are devoted to some applications of arc spaces toward a conjecture on minimal log discrepancies known as inversion of adjunction. Minimal log discrepancies are invariants of singularities appearing in the minimal model program, a quick overview of which is given in the third lecture. The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Motivic integration Chambert-Loir, Antoine ; Nicaise, Johannes ; Sebag, Julien | Birkhäuser 2018

Ouvrage

- xx; 526 p.
ISBN 978-1-4939-7885-4

Progress in mathematics , 0325

Localisation : Collection 1er étage

géométrie algébrique # K-théorie # intégration motivique # anneau de Grothendieck # schéma de Greenberg # géométrie birationnelle # géométrie non Archimédienne

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Igusa's p-adic local zeta function and the monodromy conjecture for non-degenerate surface singularities Bories, Bart ; Veys, Willem | American Mathematical Society 2016

Ouvrage

- vii; 131 p.
ISBN 978-1-4704-1841-0

Memoirs of the american mathematical society , 1145

Localisation : Collection 1er étage

singularité # champs p-adique # groupe p-adique # fonction zêta # groupe de monodromie # géométrie algébrique

#### Filtrer

##### Codes MSC

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

Ressources Electroniques

Books & Print journals

Recherche avancée

0
Z