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TADMICAMT

"Topological, Algebraic, Differential Methods in Classification and Moduli Theory"

Coordinatore	UNIVERSITAET BAYREUTH Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Germany [DE]
Totale costo	1˙725˙420 €
EC contributo	1˙725˙420 €
Programma	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)
Code Call	ERC-2013-ADG
Funding Scheme	ERC-AG
Anno di inizio	2014
Periodo (anno-mese-giorno)	2014-04-01 - 2019-03-31

Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITAET BAYREUTH Organization address address: Universitaetsstrasse 30 city: BAYREUTH postcode: 95447 contact info Nome: Marcus Cognome: Urban Email: send email Telefono: +49 921 55 5351 Fax: +49 921 55 5339	DE (BAYREUTH)	hostInstitution	1˙725˙420.00
2	UNIVERSITAET BAYREUTH Organization address address: Universitaetsstrasse 30 city: BAYREUTH postcode: 95447 contact info Titolo: Prof. Nome: Fabrizio Cognome: Catanese Email: send email Telefono: 49921553376 Fax: 49921552082	DE (BAYREUTH)	hostInstitution	1˙725˙420.00

Mappa

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uniformization invariants sufficiently surfaces stable moduli quadrics triangle algebraic group spaces curves factorizations space classification groups homological varieties fundamental quotients structure certain genus action projections universal free catanese cover braid quotient symmetric

Obiettivo del progetto (Objective)

'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.'