TROPGEO

Tropical Geometry

Coordinatore	UNIVERSITE DE GENEVE    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Switzerland [CH]
Totale costo	1˙928˙800 €
EC contributo	1˙928˙800 €
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-2009-AdG
Funding Scheme	ERC-AG
Anno di inizio	2010
Periodo (anno-mese-giorno)	2010-01-01   -   2014-12-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITE DE GENEVE  Organization address address: Rue du General Dufour 24 city: GENEVE postcode: 1211 contact info Titolo: Dr. Nome: Alex Cognome: Waehry Email: send email Telefono: 41223797560 Fax: 41223791180	CH (GENEVE)	hostInstitution	1˙928˙800.00
2	UNIVERSITE DE GENEVE  Organization address address: Rue du General Dufour 24 city: GENEVE postcode: 1211 contact info Titolo: Prof. Nome: Grigory Cognome: Mikhalkin Email: send email Telefono: -3791147 Fax: -3791157	CH (GENEVE)	hostInstitution	1˙928˙800.00

Mappa

 Word cloud

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 Obiettivo del progetto (Objective)

'The goal of this project is to develop Tropical Geometry, a newly emerging kind of algebraic geometry. It is expected to be more powerful than Classical Geometry in a range of applications (particularly in Physics-minded applications). In the same time it is significantly simpler in several mathematical aspects. In the last decade a number of initial applications of this new geometry has appeared with a success, particularly in the framework of the so-called Gromov-Witten theory, based on curves, i.e. 1-dimensional algebraic varieties. The new subject became known as Tropical Geometry since algebraically it is a based on the so-called ``Tropical Calculus' of Computer Science. In the tropical world the curves are metric graphs, sometimes enhanced with additional structure. Stepping forward from my recent successes in set-up and application of Tropical Geometry I plan to continue this work. Particularly I plan to advance the following challenging lines of research: Solve several classical complex enumerative problems, particularly compute ZeuthenÕs characteristic numbers. Develop tropical homology theories. Advance the theory of amoebas and coamoebas (algae) of algebraic varieties. Advance understanding of real algebraic geometry. Establish direct relation between Feynman diagrams and tropical curves. Break Òthe Gromov-Witten barrierÓ in Enumerative Geometry. Develop birational tropical geometry in higher dimensions. These directions are intrinsically related in their scope and suggested methodology. Some of the proposed goals are very ambitious, but even partial advances would mean a big step forward.'