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B. Deroin - Monodromy of algebraic families of curves (Part 1)

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Auteur(s) :
Deroin Bertrand

Producteur Canal-U :
Institut Fourier

X. Yuan - On the arithmetic degree of Shimura curves

Ö. Yurttas - Algorithms for multicurves with Dynnikov coordinates

A. Zorich - Counting simple closed geodesics and volumes of moduli ...

A. Zorich - Counting simple closed geodesics and volumes of moduli ...

P. Apisa - Marked points in genus two and beyond

J. Aramayona - MCG and infinite MCG (Part 2)

J. Aramayona - MCG and infinite MCG (Part 3)

D. Davis - Periodic paths on the pentagon

B. Deroin - Monodromy of algebraic families of curves (Part 2)

S. Filip - K3 surfaces and Dynamics (Part 1)

G. Forni - Cohomological equation and Ruelle resonnences (Part 2)

C.Fougeron - Diffusion rate for windtree models

V. Gadre - Effective convergence of ergodic averages and cusp ...

P. Hubert - Rauzy gasket, Arnoux-Yoccoz interval exchange map, ...

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism ...

L. Liechti - Minimal dilatations on nonorientable surfaces

S. Marmi - Diophantine interval exchange mapsm

C. Matheus - Square tiled surfaces (Part 2)

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RÉSUMÉ
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B. Deroin - Monodromy of algebraic families of curves (Part 1)

The mini-course will focus on the properties of the monodromies of algebraic families of curves defined over the complex numbers. One of the goal will be to prove the irreducibility of those representations for locally varying families (Shiga). If time permit we will see how to apply this to prove the geometric Shafarevich and Mordell conjecture.

The material that will be developed along the lectures are - analytic structure of Teichmüller spaces - theory of Kleinian groups - Bers embedding - b-groups - Mumford compactness criterion - Imayoshi-Shiga finiteness theorem.

Date de réalisation : 14 Juin 2018

Durée du programme : 62 min

Classification Dewey : Mathématiques
Catégorie : Cours magistraux

Niveau : niveau Doctorat (LMD), Recherche

Disciplines : Mathématiques

Collections : Ecoles d'été, 2018

ficheLom : Voir la fiche LOM
Auteur(s) : Deroin Bertrand

Réalisateur(s) : Girard Yohan
Langue : Anglais

Mots-clés : Grenoble, curves, eem2018, Teichmüller dynamics mapping class groups and applications, monodromy, algebraic families

Conditions d’utilisation / Copyright : CC BY-NC-ND 4.0

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Dans la même collection

X. Yuan - On the arithmetic degree of Shimura curves

Ö. Yurttas - Algorithms for multicurves with Dynnikov coordinates

A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 1)

A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 3)

P. Apisa - Marked points in genus two and beyond

J. Aramayona - MCG and infinite MCG (Part 2)

J. Aramayona - MCG and infinite MCG (Part 3)

D. Davis - Periodic paths on the pentagon

B. Deroin - Monodromy of algebraic families of curves (Part 2)

S. Filip - K3 surfaces and Dynamics (Part 1)

G. Forni - Cohomological equation and Ruelle resonnences (Part 2)

C.Fougeron - Diffusion rate for windtree models

V. Gadre - Effective convergence of ergodic averages and cusp excursions of geodesics

P. Hubert - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 2)

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 3)

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