FLAT SURFACES

"SL(2,R)-action on flat surfaces and geometry of extremal subvarieties of moduli spaces"

 Coordinatore JOHANN WOLFGANG GOETHE UNIVERSITAET FRANKFURT AM MAIN 

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 Nazionalità Coordinatore Germany [DE]
 Totale costo 1˙005˙600 €
 EC contributo 1˙005˙600 €
 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-2010-StG_20091028
 Funding Scheme ERC-SG
 Anno di inizio 2010
 Periodo (anno-mese-giorno) 2010-10-01   -   2015-09-30

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    JOHANN WOLFGANG GOETHE UNIVERSITAET FRANKFURT AM MAIN

 Organization address address: GRUNEBURGPLATZ 1
city: FRANKFURT AM MAIN
postcode: 60323

contact info
Titolo: Ms.
Nome: Kristina
Cognome: Wege
Email: send email
Telefono: +49 69 798 15198
Fax: +49 69 798 15007

DE (FRANKFURT AM MAIN) hostInstitution 1˙005˙600.00
2    JOHANN WOLFGANG GOETHE UNIVERSITAET FRANKFURT AM MAIN

 Organization address address: GRUNEBURGPLATZ 1
city: FRANKFURT AM MAIN
postcode: 60323

contact info
Titolo: Prof.
Nome: Martin
Cognome: Moeller
Email: send email
Telefono: +49 69 798 28945
Fax: +49 69 798 22302

DE (FRANKFURT AM MAIN) hostInstitution 1˙005˙600.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

years    spaces    carries    tables    polygonal    homogeneous    group    totally    hilbert    called    flat    reappear    characterization    mumford    billiard    moduli    questions    unfolding    classifcation    sl    algebraic    setting    teichmueller    plus    give    orbits    space    feasible    varities    actions    applicant    compactification    ing    curves    interesting    modular    comprehension    studying    surfaces    action    table    coming    geodesic    surface   

 Obiettivo del progetto (Objective)

'Dynamics on polygonal billiard tables is best understood by unfolding the table and studying the resulting flat surface. The moduli space of flat surfaces carries a natural action of SL(2,R) and all the questions about Lie group actions on homogeneous spaces reappear in this non-homogeneous setting in an even more interesting way. Closed SL(2,R)-orbits give rise to totally geodesic subvarieties of the moduli space of curves, called Teichmueller curves. Their classifcation is a major goal over the coming years. The applicant's algebraic characterization of Teichmueller curves plus the comprehension of the Deligne-Mumford compactification of Hilbert modular varities make this goal feasible. on polygonal billiard tables is best understood unfolding the table and studying the resulting surface. The moduli space of flat surfaces carries action of SL(2,R) and all the questions about group actions on homogeneous spaces reappear in this homogeneous setting in an even more interesting way. SL(2,R)-orbits give rise to totally geodesic of the moduli space of curves, called curves. Their classifcation is a major goal the coming years. The applicant's algebraic characterization Teichmueller curves plus the comprehension of the Mumford compactification of Hilbert modular varities this goal feasible.'

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