Ziel
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.
Wissenschaftliches Gebiet
Schlüsselbegriffe
Aufforderung zur Vorschlagseinreichung
ERC-2008-AdG
Andere Projekte für diesen Aufruf anzeigen
Finanzierungsplan
ERC-AG - ERC Advanced GrantGastgebende Einrichtung
91904 Jerusalem
Israel