Objectif "The all-pervading utility of differential equations, and therefore of methods for their solution, in mathematics and the physical sciences, especially in mechanical and electronic engineering, is undisputable. The heat and wave equations are star examples. The subject has a long history, including its interactions with modern algebra since it was brought into that framework by Ritt in the late 1930s.Tropical geometry, introduced two decades ago, is a rapidly developing area of mathematics offering a new approach to algebraic and geometric problems, for instance, counting solutions to equations. ""Tropicalising"" these problems turns them into new problems stated only in terms of ensuring that collections of linear functions are tied for the greatest value, which have the same answers as the originals but can often be easier to solve.In 2015, the Fellow and others introduced an application of tropical tools to differential algebra. Inspired by the initial successes of these methods, we are here proposing to extend them to classes of differential equation not yet handled,to bring more algebro-geometric machinery to bear, to transfer further aspects of the theory of tropicalisation of algebraic varieties to differential algebra, and to extend the computational algebra which motivated Grigoriev's interest to our new settings." Champ scientifique engineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringnatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationsnatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsgeometrynatural sciencesphysical sciences 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 Thème(s) MSCA-IF-2017 - Individual Fellowships Appel à propositions H2020-MSCA-IF-2017 Voir d’autres projets de cet appel Régime de financement MSCA-IF-EF-ST - Standard EF Coordinateur QUEEN MARY UNIVERSITY OF LONDON Contribution nette de l'UE € 195 454,80 Adresse 327 MILE END ROAD E1 4NS London Royaume-Uni Voir sur la carte Région London Inner London — East Tower Hamlets Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 195 454,80
