### The coherence of one-relator groups

Geometry and Topology Seminar

28th November 2023, 2:00 pm – 3:00 pm

Fry Building, 2.04

(Joint work with Andrei Jaikin-Zapirain.) A group is said to be coherent if all of its finitely generated subgroups are finitely presented. In this talk I will sketch a proof of Baumslag’s conjecture that all one-relator groups are coherent, discussing connections with the non-positive immersions property and the vanishing of the second L^2 Betti number.

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