GEOMANGROUP
Geometry and Analysis of Group Rings
| Coordinatore | TECHNISCHE UNIVERSITAET DRESDEN
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Germany [DE] |
| Totale costo | 900˙000 € |
| EC contributo | 900˙000 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2011-StG_20101014 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2011 |
| Periodo (anno-mese-giorno) | 2011-10-01 - 2016-09-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITAET LEIPZIG
Organization address
address: RITTERSTRASSE 26 contact info |
DE (LEIPZIG) | beneficiary | 443˙306.80 |
| 2 |
TECHNISCHE UNIVERSITAET DRESDEN
Organization address
address: HELMHOLTZSTRASSE 10 contact info |
DE (DRESDEN) | hostInstitution | 456˙693.20 |
| 3 |
TECHNISCHE UNIVERSITAET DRESDEN
Organization address
address: HELMHOLTZSTRASSE 10 contact info |
DE (DRESDEN) | hostInstitution | 456˙693.20 |
Mappa
Word cloud
Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.
Obiettivo del progetto (Objective)
'Eversince, the study of discrete groups and their group rings has attracted researchers from various mathematical branches and led to beautiful results with proofs involving fields such as number theory, combinatorics and analysis. The basic object of study is the structure of the group G itself, i.e. its subgroups, quotients, etc. and properties of the group ring kG with coefficients in a field k.
Recently, techniques such as Randomization and Algebraic Approximation have lead to fruitful insights. This project is focused on new and groundbreaking applications of these two techniques in the study of groups and group rings. In order to illustrate this, I am explaining how useful these techniques are by focusing on three interacting topics: (i) new characterizations of amenability related to Dixmier’s Conjecture, (ii) the Atiyah conjecture for discrete groups, and (iii) algebraic approximation in the algebraic K-theory of algebras of functional analytic type. All three problems are presently wide open and progress in any of the three problems would mean a breakthrough in current research.
Using Randomization techniques, I want to achieve important results in the understanding of groups rings by contributing to a better understanding of conjectures of Dixmier’s and Atiyah’s. The field of Algebraic Approximation is new, and has already been successfully used by G. Cortinas and myself to resolve a longstanding conjecture in Algebraic K-theory due to Jonathan Rosenberg.'