Expander Graphs in Pure and Applied Mathematics

Project Information

EXPANDERS

Grant agreement ID: 226135

Project closed

Start date 1 October 2008

End date 30 September 2014

Funded under

• Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 1 082 504,00

EU contribution € 1 082 504,00

Coordinated by

THE HEBREW UNIVERSITY OF JERUSALEM
Israel

Objective

Expander graphs are finite graphs which play a fundamental role in many areas of computer science such as: communication networks, algorithms and more. Several areas of deep mathematics have been used in order to give explicit constructions of such graphs e.g. Kazhdan property (T) from representation theory of semisimple Lie groups, Ramanujan conjecture from the theory of automorphic forms and more. In recent years, computer science has started to pay its debt to mathematics: expander graphs are playing an increasing role in several areas of pure mathematics. The goal of the current research plan is to deepen these connections in both directions with special emphasis of the more recent and surprising application of expanders to group theory, the geometry of 3-manifolds and number theory.

Fields of science

• natural sciences › mathematics › pure mathematics

Keywords

• 3-manifolds
• Kazhdan property T
• Ramanujan graphs
• automorphic forms
• expander graphs
• finite simple groups

Programme(s)

• FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations

Call for proposal

ERC-2008-AdG
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

THE HEBREW UNIVERSITY OF JERUSALEM

• EU contribution: € 1 082 504,00
• Address: EDMOND J SAFRA CAMPUS GIVAT RAM ; 91904 Jerusalem ; Israel
• Activity type: Higher or Secondary Education Establishments
• Administrative Contact: Hani Ben Yehuda (Ms.)
• Principal investigator: Alexander Lubotzky (Prof.)
• Total cost: No data

Beneficiaries (1)

THE HEBREW UNIVERSITY OF JERUSALEM

Israel

• EU contribution: € 1 082 504,00
• Address: EDMOND J SAFRA CAMPUS GIVAT RAM ; 91904 Jerusalem
• Activity type: Higher or Secondary Education Establishments
• Administrative Contact: Hani Ben Yehuda (Ms.)
• Principal investigator: Alexander Lubotzky (Prof.)
• Total cost: No data