Pablo Shmerkin - Furstenberg’s conjecture on the intersections of ×2, ×3 invariant Cantor sets
Channel: Centro de Matemática
Date: 2018-11-08

Pablo Shmerkin (Universidad Torcuato di Tela) 

Furstenberg’s conjecture on the intersections of ×2, ×3 invariant Cantor sets

In the 1960s Furstenberg made several conjectures formalizing, in different ways, the heuristics that “expansions in bases 2 and 3 have no common structure”. I will talk about my recent solution of one of these conjectures, asserting that the intersection of Cantor sets invariant under ×2 and ×3 is never “larger than expected”. If time allows I will mention some other consequences of the method.

Workshop on Groups, Geometry and Dynamics, 23–27 July 2018, Montevideo, Uruguay.

https://ggdworkshop.cmat.edu.uy/

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