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 sciencesmathematicspure 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 See on map Activity type Higher or Secondary Education Establishments Administrative Contact Hani Ben Yehuda (Ms.) Principal investigator Alexander Lubotzky (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all THE HEBREW UNIVERSITY OF JERUSALEM Israel EU contribution € 1 082 504,00 Address EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem See on map Activity type Higher or Secondary Education Establishments Administrative Contact Hani Ben Yehuda (Ms.) Principal investigator Alexander Lubotzky (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data