Objectif
The project is concerned with Borel and measurable combinatorics, sparse
graph limits, approximation of algebraic structures and applications to
metric geometry and measured group theory. Our research will result in
major advances in these areas, and will create new research directions in
combinatorics, analysis and commutative algebra.
The main research objectives are as follows.
1) Study equidecompositions of sets and solve the Borel version of the Ruziewicz problem.
2) Give a new characterisation of amenable groups in terms of measurable Lovasz Local Lemma.
3) Study rank approximations of infinite groups and commutative algebras.
Champ scientifique
Programme(s)
Thème(s)
Régime de financement
ERC-STG - Starting GrantInstitution d’accueil
UNIVERSITAET LEIPZIG
Contribution nette de l'UE
€ 541 832,50
Adresse
RITTERSTRASSE 26
04109 Leipzig
Allemagne
04109 Leipzig
Allemagne
Région
Sachsen
Leipzig
Leipzig
Type d’activité
Higher or Secondary Education Establishments
Liens
Coût total
€ 541 832,50