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TROPDIFFGEO SIGNED

Tropical Differential Geometry

Total Cost €

EC-Contrib. €

Partnership

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TROPDIFFGEO project word cloud

Explore the words cloud of the TROPDIFFGEO project. It provides you a very rough idea of what is the project "TROPDIFFGEO" about.

algebraic linear handled equation examples framework 1930s inspired differential transfer mathematics history 2015 tied functions solutions undisputable tropicalising utility mechanical fellow electronic solution turns engineering tropical ago theory originals collections proposing algebra heat star equations geometry classes machinery pervading instance sciences easier ritt interactions decades extend stated bear geometric tropicalisation motivated tools subject computational greatest settings varieties answers modern physical wave initial grigoriev counting area algebro successes

Project "TROPDIFFGEO" data sheet

The following table provides information about the project.

Coordinator	QUEEN MARY UNIVERSITY OF LONDON Organization address address: 327 MILE END ROAD city: LONDON postcode: E1 4NS website: http://www.qmul.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Total cost	195˙454 €
EC max contribution	195˙454 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2017
Funding Scheme	MSCA-IF-EF-ST
Starting year	2018
Duration (year-month-day)	from 2018-06-01 to 2020-05-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	QUEEN MARY UNIVERSITY OF LONDON QUEEN MARY UNIVERSITY OF LONDON Organization address address: 327 MILE END ROAD city: LONDON postcode: E1 4NS website: http://www.qmul.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (LONDON)	coordinator	195˙454.00

Map

Project objective

'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.'

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The information about "TROPDIFFGEO" are provided by the European Opendata Portal: CORDIS opendata.