Pinsky Lecture Series | Alex Lubotzky (Weizmann Institute, Hebrew University)

Title:  Topological expanders 

Abstract: Gromov's overlapping problems led to the notions of geometric and topological expanders. These problems have been solved by using the high-dimensional expanders ( a.k.a. Ramanujan complexes). We will survey these developments, Then we will point out how the methods developed there MAY be useful to tackle the holy grail open                               problem of group approximation theory: are all groups sofic? Based on joint works with Kaufman, Kazhdan, Evra, Chapman, and Dikstein. 

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