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

Title:  Group stability and approximation 

Abstract: In this talk, we will show how group stability (the question of whether every "almost" representation is a small deformation of a real one) can be considered a non-commutative version of code testability. We then use it to show a number of non-approximation results by using the high-dimensional expanders and the results of Garland and of Deligne. Based on joint works with Glebsky, Thom, Oppenheim, Bachner, and Dogon. 

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