Objetivo
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.
Ámbito científico
Programa(s)
Régimen de financiación
ERC-STG - Starting GrantInstitución de acogida
UNIVERSITAET LEIPZIG
Aportación neta de la UEn
€ 541 832,50
Dirección
RITTERSTRASSE 26
04109 Leipzig
Alemania
04109 Leipzig
Alemania
Región
Sachsen
Leipzig
Leipzig
Tipo de actividad
Higher or Secondary Education Establishments
Enlaces
Coste total
€ 541 832,50