Objectif "Moduli of curves with symmetries:determine the stable irreducible components of the moduli space of curves of genus g with an action of a finite group G, using a new homological invariant. Stable means: for g sufficiently large, or for sufficiently large numerical branching function. Higher homological stabilization for these moduli spaces. Faithful actions of the absolute Galois group on moduli spaces of marked varieties, triangle curves, varieties isogenous to a product, Beauville surfaces. Change of fundamental group. Fields of definitions of triangle curves and the scheme representing triangle curves.Uniformization: characterization of proj. var. whose universal cover is a given bounded symmetric domain (Catanese-Di Scala did the case of tube domains). Orbifold Uniformization: where we have a quotient of a non free action, or a noncompact such quotient. Classification of surfaces with genus 0 having the bidisk as universal cover. Symmetric differentials and fundamental groups of some ball quotients.Topological methods in Moduli Theory: strong, weak and pseudo rigidity for the Inoue type varieties of Bauer and Catanese (free quotients of ample divisors on projective varieties which are K(\pi, 1)). With Lonne and Wajnryb, using methods by Auroux and Katzarkov: study canonical symplectic structures and deformation types of some simply connected algebraic surfaces, determining braid group factorizations associated to subcanonical projections. More general bicoloured braid factorizations associated to general projections. Teichmueller space of certain algebraic surfaces.Classification and Moduli of surfaces with low invariants. Surfaces of geometric genus 0: new construction techniques, structure of fundamental groups, moduli spaces, existence questions for surfaces with certain invariants, for homotopy quadrics, structure of fake quadrics." Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Thème(s) ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations Appel à propositions ERC-2013-ADG Voir d’autres projets de cet appel Régime de financement ERC-AG - ERC Advanced Grant Institution d’accueil UNIVERSITAT BAYREUTH Contribution de l’UE € 1 725 420,00 Adresse UNIVERSITATSSTRASSE 30 95447 Bayreuth Allemagne Voir sur la carte Région Bayern Oberfranken Bayreuth, Kreisfreie Stadt Type d’activité Higher or Secondary Education Establishments Contact administratif Marcus Urban Chercheur principal Fabrizio Catanese (Prof.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée Bénéficiaires (1) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire UNIVERSITAT BAYREUTH Allemagne Contribution de l’UE € 1 725 420,00 Adresse UNIVERSITATSSTRASSE 30 95447 Bayreuth Voir sur la carte Région Bayern Oberfranken Bayreuth, Kreisfreie Stadt Type d’activité Higher or Secondary Education Establishments Contact administratif Marcus Urban Chercheur principal Fabrizio Catanese (Prof.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée