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 Grant
Host institution
04109 Leipzig
Germany
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Beneficiaries (2)
04109 Leipzig
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LA1 4YW Lancaster
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