**Title:** Conjugacy width in higher rank arithmetic groups (CANCELLED)

**Speaker:** Chen Meiri

**Speaker Info:** Technion

**Brief Description:**

**Special Note**:

**Abstract:**

Let G be a group and X be a subset of G. We say that the width of X in G is at most k if every element in the subgroup of G generated by X is a product of at most k elements from X or X^{-1}.We say the G has Finite Conjugacy Width if for every g in G, there exists k such that the width of the conjugacy class of g is at most k. The subject of this talk is the following conjecture:

Every higher rank arithmetic group has FCW. In this talk, we will survey some prior works which led to this conjecture , present some evidence to its validity, and explain the connection to the Congruence Subgroup Problem. This is joint work with Nir Avni.

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