WoG 2024 Talk 4.4: Elena Bogliolo - Stable commutator length of verbal wreath products

Описание к видео WoG 2024 Talk 4.4: Elena Bogliolo - Stable commutator length of verbal wreath products

Speaker: Elena Bogliolo
Institution: Università di Pisa

Title: Stable commutator length of verbal wreath products
Abstract: Stable commutator length (scl) is a group invariant that appears in different areas of mathematics such as low-dimensional topology and dynamics.
We provide a vanishing condition for the scl of verbal wreath products, which are groups obtained by generalizing the construction of lamplighter groups with the use of verbal products. Our approach is based on the strong relation between scl and bounded cohomology expressed by Bavard’s duality theorem.

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