Limits of Structures in Algebra and Combinatorics

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

• natural sciences › mathematics › pure mathematics › algebra › commutative algebra
• natural sciences › mathematics › pure mathematics › geometry
• natural sciences › mathematics › pure mathematics › discrete mathematics › combinatorics

Programme(s)

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme

Topic(s)

• ERC-2018-STG - ERC Starting Grant

Call for proposal

ERC-2018-STG

See other projects for this call

Funding Scheme

ERC-STG - Starting Grant

Host institution

UNIVERSITAET LEIPZIG

Net EU contribution

€ 541 832,50

Address

Ritterstrasse 26
04109 Leipzig
Germany

Region

Sachsen › Leipzig › Leipzig

Activity type

Higher or Secondary Education Establishments

Links

Non-EU contribution

€ 0,00

Beneficiaries (2)

UNIVERSITAET LEIPZIG

Germany

Net EU contribution

€ 541 832,50

Address

Ritterstrasse 26
04109 Leipzig

Region

Sachsen › Leipzig › Leipzig

Activity type

Higher or Secondary Education Establishments

Links

Non-EU contribution

€ 0,00

UNIVERSITY OF LANCASTER

United Kingdom

Net EU contribution

€ 597 500,00

Address

Bailrigg
LA1 4YW Lancaster

Region

North West (England) › Lancashire › Lancaster and Wyre

Activity type

Higher or Secondary Education Establishments

Links

Non-EU contribution

€ 0,00