**Laurent Bartholdi (Universität Göttingen)**

### Title: Self-similarity in Algebra

I will show how the pervasive notion of self-similarity in geometry
(so-called "fractals") have natural counterparts in Group theory, and
in the theory of (Associative or Lie) algebras. I will in particular
illustrate by examples how these notions led to the construction of
radically new objects, that answered or refuted long-standing questions
and conjectures in Algebra.

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