Results 1 - 10 of 264
[REPORT SUMMARY] Final Report Summary - HFAKT (Homogeneous Flows and their Application in Kinetic Theory)
The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical scatterers. A major challenge of this...
Programme: FP7-IDEAS-ERC
Record Number: 201861
Last updated on: 2017-07-24
[REPORT SUMMARY] Periodic Report Summary 2 - PCG (The Elementary Theory of Partially Commutative Groups)
Hilbert’s 10th problem asks if there exists an algorithm to decide whether or not an equation with integer coefficients has an integer solution. This type of problems can be posed for arbitrary structures (rings, groups etc.) and in a more general setting from the viewpoint...
Programme: FP7-IDEAS-ERC
Record Number: 199501
Last updated on: 2017-06-21
[REPORT SUMMARY] Final Report Summary - QUADYNEVOPRO (Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture)
This research project deals with nonlinear evolution problems that arise in the study of the inelastic behaviour of solids, in particular in plasticity and fracture. The project focuses on selected problems, grouped into three main topics, namely: • Plasticity, •...
Programme: FP7-IDEAS-ERC
Record Number: 199864
Last updated on: 2017-06-21
[REPORT SUMMARY] Final Report Summary - PSC AND LMCF (Positive Scalar Curvature and Lagrangian Mean Curvature Flow)
The goal of the project was to study minimal surfaces and their interacations with the ambient geometry. We pioneered the use of min-max methods to further explore this connection and in doing so not only we solved several open problems in Geometry but we also developed...
Programme: FP7-IDEAS-ERC
Record Number: 199878
Last updated on: 2017-06-21
[REPORT SUMMARY] Final Report Summary - EPSILON (Elliptic Pdes and Symmetry of Interfaces and Layers for Odd Nonlinearities)
We have developed intense research in the fields of partial differential equations, integro-differential equations, geometric measure theory and calculus of variations. About 70 papers are listed in MathSciNet as authored by the PI in the report period, all published in...
Programme: FP7-IDEAS-ERC
Record Number: 199889
Last updated on: 2017-06-20
The project has been exploring the interactions between the geometry of a space, and the dynamical properties of a special type of evolutive systems on this space: the flow of a Reeb vector field. To give a concrete picture, one can imagine a space filled with water so that...
Programme: FP7-IDEAS-ERC
Record Number: 199912
Last updated on: 2017-06-20
[REPORT SUMMARY] Final Report Summary - ANALYSISDIRAC (The analysis of the Dirac operator: the hypoelliptic Laplacian and its applications)
The ERC project was to bring together various fields of mathematics: geometry, analysis, probability theory, mathematical physics, and dynamical systems, by showing the potential of a new object introduced by the PI, the hypoelliptic Laplacian, that has the potential to...
Programme: FP7-IDEAS-ERC
Record Number: 199916
Last updated on: 2017-06-20
[REPORT SUMMARY] Final Report Summary - G-SHTUKAS (Moduli spaces of local G-shtukas)
The Langlands programme is a large and prominent research field in pure mathematics. Langlands' conjectures link representations of absolute Galois groups of number fields or function fields of curves to the representation theory of a linear algebraic group G. The central...
Programme: FP7-IDEAS-ERC
Record Number: 198007
Last updated on: 2017-05-12
[REPORT SUMMARY] Final Report Summary - STUCCOFIELDS (Structure and scaling in computational field theories)
The goal of this project was to advance the branch of mathematics known as numerical analysis, in particular to introduce and analyse algorithms suitable to compute approximate solutions to partial differential equations. Structure preservation was a unifying theme, with a...
Programme: FP7-IDEAS-ERC
Record Number: 197964
Last updated on: 2017-05-12
[REPORT SUMMARY] Final Report Summary - CRITIQUEUE (Critical queues and reflected stochastic processes)
Reflected stochastic processes are stochastic processes that are restricted to stay positive. Scalings limits arise by considering a sequence of stochastic processes, and appropriately scaling space and time. This project was centered around scaling limits for reflected...
Programme: FP7-IDEAS-ERC
Record Number: 197645
Last updated on: 2017-05-10
List retrieved on: 2017-08-02
