Results 1 - 10 of 61
[PROJECT] ARIPHYHIMO - Arithmetic and physics of Higgs moduli spaces
ID: 320593
Start date: 2013-04-01, End date: 2018-08-31
The proposal studies problems concerning the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory...
Programme: FP7-IDEAS-ERC
Record Number: 106891
Last updated on: 2017-06-12
[REPORT SUMMARY] Mid-Term Report Summary - ARIPHYHIMO (Arithmetic and physics of Higgs moduli spaces)
The project concerns with the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory with the...
Programme: FP7-IDEAS-ERC
Record Number: 178565
Last updated on: 2016-04-28
[REPORT SUMMARY] Mid-Term Report Summary - POLYTE (Polynomial term structure models)
This project develops new stochastic models in finance for the quantification and management of financial risks arising from various sources, including interest rates, credit risk, and volatility. The project has been laid out in three work flows: a fundamental study of...
Programme: FP7-IDEAS-ERC
Record Number: 178860
Last updated on: 2016-04-28
[REPORT SUMMARY] Mid-Term Report Summary - SPARCCLE (STRUCTURE PRESERVING APPROXIMATIONS FOR ROBUST COMPUTATION OF CONSERVATION LAWS AND RELATED EQUATIONS)
The main objective of this project was the design, convergence analysis and efficient implementation of structure preserving numerical methods for approximating nonlinear systems of conservation laws. The aim was to go significantly beyond the state of the art in both analysis...
Programme: FP7-IDEAS-ERC
Record Number: 178856
Last updated on: 2016-04-28
After more than three decades have passed since the monumental work of Almgren, with this project I have finally given a manageable proof of the main regularity result for area-minimizing currents. Several new developments which take this result as a starting point are in the...
Programme: FP7-IDEAS-ERC
Record Number: 181878
Last updated on: 2016-04-27
[REPORT SUMMARY] Final Report Summary - RWPERCRI (Random Walks, Percolation and Random Interlacements)
The investigation of random interlacements is a central topic of this research project. Random interlacements consist of a Poisson cloud of doubly-infinite random walk trajectories. They offer a microscopic model for the structure left at suitable time scales by random walks...
Programme: FP7-IDEAS-ERC
Record Number: 180207
Last updated on: 2016-03-09
The project RIGIDITY has solved some long-standing problems in pure mathematics, some of them having been studied for over half a century. Paradoxical objects have been discovered, fixed point theorems established, and new models of geometries and symmetries have been brought...
Programme: FP7-IDEAS-ERC
Record Number: 181896
Last updated on: 2016-04-15
During the last two decades conformally invariant fractal structures emerged in several areas of mathematics and physics. The goal of the CONFRA project was to study such structures arising in analysis, dynamics, probability, physics, and exploit interaction of these fields...
Programme: FP7-IDEAS-ERC
Record Number: 180379
Last updated on: 2016-03-09
This project was devoted to the mathematical understanding of the time evolution of quantum mechanical systems. The goal of the first part of the project was the derivation of effective evolution equations approximating the full many-body quantum dynamics in certain limiting...
Programme: FP7-IDEAS-ERC
Record Number: 179344
Last updated on: 2016-03-14
[REPORT SUMMARY] Final Report Summary - STAHDPDE (Sparse Tensor Approximations of High-Dimensional and stochastic Partial Differential Equations)
The project investigated the mathematical formulation and numerical approximation of infinite-dimensional, parametric operator equations. It identified new sparsity conditions on the problem inputs in order for several new classes of numerical methods to overcome the curse of...
Programme: FP7-IDEAS-ERC
Record Number: 179222
Last updated on: 2016-03-15
List retrieved on: 2017-08-02
