COARSE ANALYSIS

Analytic problems in Coarse Geometry and Geometric Group Theory

 Coordinatore UNIVERSITY OF SOUTHAMPTON 

 Organization address address: Highfield
city: SOUTHAMPTON
postcode: SO17 1BJ

contact info
Titolo: Mrs.
Nome: Dewi
Cognome: Tan
Email: send email
Telefono: 442381000000

 Nazionalità Coordinatore United Kingdom [UK]
 Totale costo 100˙000 €
 EC contributo 100˙000 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2013-CIG
 Funding Scheme MC-CIG
 Anno di inizio 0
 Periodo (anno-mese-giorno) 0000-00-00   -   0000-00-00

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITY OF SOUTHAMPTON

 Organization address address: Highfield
city: SOUTHAMPTON
postcode: SO17 1BJ

contact info
Titolo: Mrs.
Nome: Dewi
Cognome: Tan
Email: send email
Telefono: 442381000000

UK (SOUTHAMPTON) coordinator 100˙000.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

groups    roe    spaces    interplay    discrete    theory    examples    connes    oyono    classification    dimension    group    exactness    conjectures    limits    coarse    algebras    baum       exact    conjecture    nuclear   

 Obiettivo del progetto (Objective)

'The overall goal of this proposal is a systematic study of C*-algebras related to coarse structures of metric spaces and discrete groups. The background theme is the interplay between analysis and coarse geometry. It addresses questions relating to exactness of discrete groups and spaces, Roe algebras and the Baum--Connes conjectures.

The interplay between coarse and analytic properties is exemplified by the first objective: computing the nuclear dimension of Roe algebras in terms of asymptotic dimension of the underlying space. Nuclear dimension of C*-algebras is a recent notion that plays a tremendous role in Elliott's Classification Program of C*-algebras. The motivation for this objective is to systematically study the parallels between C*-algebraic methods of the Classification Program and topological and K-theoretic methods used for Novikov-type conjectures.

The second objective is to expand the techniques from Geometric Group Theory to produce a concrete example of a non-exact group. So far the only such examples are shown to exist by probabilistic methods, after an outline by M. Gromov. As non-exactness is highly relevant for (the potential failure of) the Baum-Connes conjecture, having concrete examples to study would be paradigm-shifting. The idea for such a construction is to generalize the small cancellation theory to a coarse setting.

The last objective is to prove the Baum-Connes conjecture for certain limits of hyperbolic groups, using the quantitative K-theory of Oyono-Oyono and Yu. Since most of the examples of discrete groups with unusual properties (e.g. non-exact) are constructed as such limits, showing that some of them do satisfy the conjecture is desirable.'

Altri progetti dello stesso programma (FP7-PEOPLE)

PFC-DOPA (2013)

The influence of neuromodulators on medial prefrontal cortical microcircuits during working memory

Read More  

EU_ARCTYCA (2014)

"“Boosting the EU ARCTic poliCY: security, sAfety and sustainability”"

Read More  

ICSTH (2011)

An Integrated Computational and Spectroscopic Investigation of the Enzyme Mechanism of Tryptophan Hydroxylase

Read More