Tue, 10 Feb 2026
15:00
15:00
L6
The kernel knows
Nansen Petrosyan
Abstract
For a graph product of groups, the canonical map to the direct product of the vertex groups has a kernel whose structure is not immediately apparent. Remarkably, this kernel turns out to be oblivious to most of the algebra one builds into the construction, yet it is sensitive to the underlying combinatorics.
This has applications to the Baum--Connes conjecture, Brown's question, the Eilenberg--Ganea conjecture and inheritance properties of graph products of groups.
I'll survey known results and discuss our joint work with Ian Leary.