Tropical Differential Geometry

Ziel

"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."

Wissenschaftliches Gebiet

Programm/Programme

Thema/Themen

MSCA-IF-2017 - Individual Fellowships

Aufforderung zur Vorschlagseinreichung

H2020-MSCA-IF-2017

Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

MSCA-IF-EF-ST - Standard EF

Koordinator

QUEEN MARY UNIVERSITY OF LONDON

Netto-EU-Beitrag

€ 195 454,80

Adresse

327 MILE END ROAD
E1 4NS London
Vereinigtes Königreich

Region

London Inner London — East Tower Hamlets

Aktivitätstyp

Higher or Secondary Education Establishments

Links

Die Organisation kontaktieren Website

Teilnahme an EU-FuI-Programmen

HORIZON-Kooperationsnetzwerk

Gesamtkosten