Objective
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.
Fields of science
Programme(s)
Topic(s)
Funding Scheme
ERC-STG - Starting GrantHost institution
UNIVERSITAET LEIPZIG
Net EU contribution
€ 541 832,50
Address
RITTERSTRASSE 26
04109 Leipzig
Germany
04109 Leipzig
Germany
Region
Sachsen
Leipzig
Leipzig
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 541 832,50