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Expander Graphs in Pure and Applied Mathematics

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.

Call for proposal

ERC-2008-AdG
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Host institution

THE HEBREW UNIVERSITY OF JERUSALEM
EU contribution
€ 1 082 504,00
Address
EDMOND J SAFRA CAMPUS GIVAT RAM
91904 Jerusalem
Israel

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Activity type
Higher or Secondary Education Establishments
Administrative Contact
Hani Ben Yehuda (Ms.)
Principal investigator
Alexander Lubotzky (Prof.)
Links
Total cost
No data

Beneficiaries (1)