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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.

Field of science

  • /natural sciences/mathematics/pure mathematics/algebra
  • /natural sciences/mathematics/pure mathematics/algebra/commutative algebra
  • /natural sciences/mathematics/pure mathematics/geometry

Call for proposal

ERC-2018-STG
See other projects for this call

Funding Scheme

ERC-STG - Starting Grant

Host institution

UNIVERSITY OF LANCASTER
Address
Bailrigg
LA1 4YW Lancaster
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 139 332,50

Beneficiaries (1)

UNIVERSITY OF LANCASTER
United Kingdom
EU contribution
€ 1 139 332,50
Address
Bailrigg
LA1 4YW Lancaster
Activity type
Higher or Secondary Education Establishments