Gromov Witten Theory and Integrable Systems

Projektinformationen

GROWINT

ID Finanzhilfevereinbarung: 274345

Projekt abgebrochen

Startdatum 1 Oktober 2011

Enddatum 30 September 2014

Finanziert unter

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Gesamtkosten € 192 849,60

EU-Beitrag € 192 849,60

Koordiniert durch

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
United Kingdom

Ziel

"Gromov–Witten theory of a space X deals with the count of the number of maps to X from a Riemann surface of a given genus which have fixed degree and whose image meets a given collection of cycles in X. They play an important role in Geometry and Physics: they carry enumerative information on X based on curve counting, they furnish a sophisticated set of invariants of the symplectic structure of X, and they make an ubiquitous appearance in many
important quantities of supersymmetric gauge and string theories, from effective Lagrangians to black hole microstate countings.

This proposal is centered on the connection of Gromov-Witten invariants with classical integrable hierarchies of nonlinear PDEs. After the Witten-Kontsevich theorem, this has been a central, but yet poorly understood aspect of the subject. We propose to fill this gap concretely in a broad number of cases, which are at the same time of considerable physical relevance, by applying a variety of modern tools from the theory of Integrable Systems. Our aim is to provide new constructions of Integrable Systems related to Gromov-Witten theory, and apply this knowledge to address core questions in the subject, from the computation of
higher genus invariants (corresponding to higher order quantum effects in String Theory) to the Virasoro conjecture. Special focus will be given to the applications in Physics. In doing so we will draw on and make rigorous recent insights from topological string theory."

Wissenschaftliches Gebiet

• natural sciences › physical sciences › theoretical physics › string theory

Programm/Programme

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Thema/Themen

• FP7-PEOPLE-2010-IEF - Marie-Curie Action: "Intra-European fellowships for career development"

Aufforderung zur Vorschlagseinreichung

FP7-PEOPLE-2010-IEF
Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

MC-IEF - Intra-European Fellowships (IEF)

Koordinator

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE

Kontakt Verwaltung

Brooke Alasya (Ms.)

• EU-Beitrag: € 192 849,60
• Adresse: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD ; SW7 2AZ LONDON ; Vereinigtes Königreich
• Region: London › Inner London — West › Westminster
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten