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"Applying Fundamental Mathematics in Discrete Mathematics, Optimization, and Algorithmics"

Objective

"This proposal aims at strengthening the connections between more fundamentally oriented areas of mathematics like algebra, geometry, analysis, and topology, and the more applied oriented and more recently emerging disciplines of discrete mathematics, optimization, and algorithmics.

The overall goal of the project is to obtain, with methods from fundamental mathematics, new effective tools to unravel the complexity of structures like graphs, networks, codes, knots, polynomials, and tensors, and to get a grip on such complex structures by new efficient characterizations, sharper bounds, and faster algorithms.

In the last few years, there have been several new developments where methods from representation theory, invariant theory, algebraic geometry, measure theory, functional analysis, and topology found new applications in discrete mathematics and optimization, both theoretically and algorithmically. Among the typical application areas are networks, coding, routing, timetabling, statistical and quantum physics, and computer science.
The project focuses in particular on:

A. Understanding partition functions with invariant theory and algebraic geometry
B. Graph limits, regularity, Hilbert spaces, and low rank approximation of polynomials
C. Reducing complexity in optimization by exploiting symmetry with representation theory
D. Reducing complexity in discrete optimization by homotopy and cohomology

These research modules are interconnected by themes like symmetry, regularity, and complexity, and by common methods from algebra, analysis, geometry, and topology."

Call for proposal

ERC-2013-ADG
See other projects for this call

Host institution

UNIVERSITEIT VAN AMSTERDAM
Address
Spui 21
1012WX Amsterdam
Netherlands

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Activity type
Higher or Secondary Education Establishments
Principal investigator
Alexander Schrijver (Prof.)
Administrative Contact
Jo Lansbergen (Ms.)
EU contribution
€ 2 001 598

Beneficiaries (1)

UNIVERSITEIT VAN AMSTERDAM
Netherlands
EU contribution
€ 2 001 598
Address
Spui 21
1012WX Amsterdam

See on map

Activity type
Higher or Secondary Education Establishments
Principal investigator
Alexander Schrijver (Prof.)
Administrative Contact
Jo Lansbergen (Ms.)