VARIOGEO

The Geometric Calculus of Variations and its Applications

 Coordinatore MAX PLANCK GESELLSCHAFT ZUR FOERDERUNG DER WISSENSCHAFTEN E.V. 

Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.

 Nazionalità Coordinatore Germany [DE]
 Totale costo 1˙500˙000 €
 EC contributo 1˙500˙000 €
 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-AdG_20100224
 Funding Scheme ERC-AG
 Anno di inizio 2011
 Periodo (anno-mese-giorno) 2011-04-01   -   2016-03-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    MAX PLANCK GESELLSCHAFT ZUR FOERDERUNG DER WISSENSCHAFTEN E.V.

 Organization address address: Hofgartenstrasse 8
city: MUENCHEN
postcode: 80539

contact info
Titolo: Mr.
Nome: Alexander
Cognome: Otte
Email: send email
Telefono: 493414000000
Fax: 493414000000

DE (MUENCHEN) hostInstitution 1˙500˙000.00
2    MAX PLANCK GESELLSCHAFT ZUR FOERDERUNG DER WISSENSCHAFTEN E.V.

 Organization address address: Hofgartenstrasse 8
city: MUENCHEN
postcode: 80539

contact info
Titolo: Prof.
Nome: Jürgen Karl Theodor
Cognome: Jost
Email: send email
Telefono: +49 341 9959550
Fax: +49 341 9959555

DE (MUENCHEN) hostInstitution 1˙500˙000.00

Mappa


 Word cloud

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

theory    harmonic    variations    examples    calculus    physics    sciences    fundamental    geometric    mathematical    convexity    geometry   

 Obiettivo del progetto (Objective)

'The project is concerned with the geometric calculus of variations and its applications in a wide range of fields. I start with fundamental examples of variational problems from geometry and physics, the Bernstein problem for minimal submanifolds of Euclidean spaces, non-abelian Hodge theory as a harmonic map approach to representations of Kähler groups, and Dirac harmonic maps as a mathematical version of the nonlinear supersymmetric sigma model of quantum field theory. These examples will motivate a general regularity and rigidity theory in geometric analysis that will be based in a fundamental way on convexity properties. Convexity will then be linked to concepts of non-positive curvature in geometry, and it will lead me to a general theory of duality relations and convexity. That theory will encompass the formal structures of the new calculus of variations and statistical mechanics, information theory and statistics, and mathematical population genetics in biology. Also, the connection with symmetry principles as arising in high energy theoretical physics will be systematically explored. Further applications lie in material sciences, pattern recognition, and bioinformatics. The project will thus achieve a novel integration of different disciplines from mathematics and the natural sciences.'

Altri progetti dello stesso programma (FP7-IDEAS-ERC)

PREDICT (2013)

"Dissecting the human T cell response to pathogens, allergens, and self-antigens"

Read More  

PHOTOAIR (2014)

Exploring the potential for photocatalytic air purification

Read More  

MECHMAM (2014)

Multiscale Extended Computational Homogenization for the Mechanical design of Advanced Materials

Read More