Results 1 - 10 of 99
[PROJECT] PCG - The Elementary Theory of Partially Commutative Groups
ID: 336983
Start date: 2014-09-01, End date: 2019-08-31
"The solution of Tarski's problems on the first-order theory of free groups has uncovered deep connections between Model Theory, Geometry and Group Theory and served as a nexus and motivation for many classical results in Geometric Group Theory and Theoretical Computer Scienc...
Programme: FP7-IDEAS-ERC
Record Number: 185384
Last updated on: 2015-03-11
[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] Mid-Term Report Summary - GFTIPFD (Geometric function theory, inverse problems and fluid dinamics)
The project strikes to obtain surprising results in geometric function theory inverse problems and fluid dynamics. The three topics are areas of active research in the area of mathematical analysis currently but we have a new perspective based on the theory of differential...
Programme: FP7-IDEAS-ERC
Record Number: 179103
Last updated on: 2016-04-27
[PROJECT] GFTIPFD - Geometric function theory, inverse problems and fluid dinamics
ID: 307179
Start date: 2012-10-01, End date: 2018-09-30
The project will strike for conquering frontier results in three capital areas in partial differential equations and mathematical analysis: Elliptic equations and systems, fluid dynamics and inverse problems. I propose to tackle the central problems in these areas with a new ...
Programme: FP7-IDEAS-ERC
Record Number: 105069
Last updated on: 2017-06-05
[REPORT SUMMARY] Final Report Summary - CZOSQP (Noncommutative Calderón-Zygmund theory, operator space geometry and quantum probability)
Our research is focused in developing modern techniques from harmonic analysis in noncommutative scenarios, understanding the interplay with other fields like quantum probability/operator space theory and also finding applications back in classical harmonic analysis. The...
Programme: FP7-IDEAS-ERC
Record Number: 183331
Last updated on: 2016-05-26
The major achievement in the first half of this research project has been the solution in a joint work by Nazarov, Tolsa and Volberg of the so called Davis-Semmes poblem in codimension one. This problem was posed about 25 yeas ago and, roughly speaking, asserts that the L^2...
Programme: FP7-IDEAS-ERC
Record Number: 178403
Last updated on: 2016-05-04
[REPORT SUMMARY] Mid-Term Report Summary - RESTRICTION (Restriction of the Fourier transform with applications to the Schrödinger and wave equations)
A number of new estimates have been established which bound solutions to the Schrödinger and wave equations in terms of their initial data. That is to say, if you know that at a certain fixed time (say at an initial instant) a wave is small in some sense, then the wave will...
Programme: FP7-IDEAS-ERC
Record Number: 180297
Last updated on: 2016-04-18
[REPORT SUMMARY] Final Report Summary - NUMERIWAVES (New analytical and numerical methods in wave propagation)
NUMERIWAVES has constituted a significant step forward in the development of analytical and numerical methods for wave propagation, with real life and industrial applications in mind. Special emphasis has been done on problems related to control and design. Some of the main...
Programme: FP7-IDEAS-ERC
Record Number: 178365
Last updated on: 2016-03-22
[REPORT SUMMARY] Final Report Summary - TGASS (Topological, Geometric and Analytical Study of Singularities)
The research project address several topics in Singularity Theory, Algebraic Geometry and Homological Algebra which are interconnected. We have made emphasis in understanding topological and analytic properties of singularities, study complements of algebraic varieties and...
Programme: FP7-IDEAS-ERC
Record Number: 179784
Last updated on: 2016-03-10
[REPORT SUMMARY] Final Report Summary - CDSIF (Contour dynamics and singularities in incompressible flows)
The search for singularities in incompressible flows has become a major challenge in the area of non-linear partial differential equations and is relevant in applied mathematics, physics and engineering. The understanding of these singularities could lead to important insights...
Programme: FP7-IDEAS-ERC
Record Number: 180559
Last updated on: 2016-03-09
List retrieved on: 2017-08-02
