Objective This project is devoted to the study of a system of partial differential equations of great relevance in modern geometry and theoretical physics. The Strominger system arises in the theory of heterotic supergravity and has been proposed by Shing-Tung Yau as one of the fundamental perspectives of complex geometry, in relation to the moduli problem for Calabi-Yau manifolds. The goal is to complete four research tasks, designed, on the one hand, to make progress on Yau's conjecture for the Strominger system and, on the other hand, to understand rigorously, in one simple example, a conjectural, fundamental, symmetry of the underlying physical theory, known as (0,2)-mirror symmetry. This will be achieved using the cutting-edge theory of generalized geometry introduced by N. Hitchin.The expertise of the supervisor L. Álvarez Cónsul and the host group at the Instituto de Ciencias Matemáticas (ICMAT, CSIC), leaders in the research line moduli spaces and geometric structures, combined with the expertise of the experienced researcher M. Garcia Fernandez, constitutes an essential backup and impulse for the achievement of the objectives of this project. The host group and ICMAT, in close relation with the Institute of Theoretical Physics (IFT) in Madrid and the Mathematical Institute in Oxford (Hitchin Laboratory), ensures an outstanding training of the applicant through the overall implementation of this research action. In addition, the ICMAT provides an exceptional atmosphere and management structure, and all the necessary infrastructures for the success of the Marie Curie action. Fields of science natural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Call for proposal H2020-MSCA-IF-2014 See other projects for this call Funding Scheme MSCA-IF-EF-RI - RI – Reintegration panel Coordinator AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS Net EU contribution € 170 121,60 Address Calle serrano 117 28006 Madrid Spain See on map Region Comunidad de Madrid Comunidad de Madrid Madrid Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
