Ziel
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.
Wissenschaftliches Gebiet
Programm/Programme
Thema/Themen
Finanzierungsplan
ERC-STG - Starting GrantGastgebende Einrichtung
UNIVERSITAET LEIPZIG
Netto-EU-Beitrag
€ 541 832,50
Adresse
RITTERSTRASSE 26
04109 Leipzig
Deutschland
04109 Leipzig
Deutschland
Region
Sachsen
Leipzig
Leipzig
Aktivitätstyp
Higher or Secondary Education Establishments
Links
Gesamtkosten
€ 541 832,50