Formal conjugacy growth for graph products

Abstract:

The conjugacy growth series of a finitely generated group measures the growth of conjugacy classes, in analogy with the standard growth series that measures the growth of elements of the group. In contrast, though, conjugacy growth series are rarely rational, and even for free groups with standard generating sets, the series are transcendental and their formulas are rather complicated. In this talk I will discuss several results on conjugacy growth and languages in graph products, including a recursive formula for computing the conjugacy growth series of a graph product in terms of the conjugacy growth and standard growth series of subgraph products. In the special case of right-angled Artin groups I will also discuss a another formula for the conjugacy growth series based on a natural language of conjugacy representatives.

This is joint work with Laura Ciobanu and Valentin Mercier.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper | slides )

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Geometry and topology online

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The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.

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