Algebra seminar: talk by Colin Reid

Charlotte Scott Centre for Algebra

On Wednesday the 28th of September 2022, Colin Reid (The University of Newcastle, Australia) visited the Charlotte Centre for Algebra and gave a talk entitled Building trees out of compact subgroups in hybrid mode for Lincoln University and Lund University.

Abstract:(Joint work with Pierre-Emmanuel Caprace and Timothée Marquis.) Compactly generated locally compact groups G have a well-behaved notion of ends, generalizing the number of ends of a finitely generated group: G has 0,1,2 or infinitely many ends, and having more than one end is associated to a certain kind of action on a tree (not necessarily of finite degree). It can also happen that the action on the tree is micro-supported, meaning that for each half-tree, there is an element fixing that half-tree pointwise but acting nontrivially on the opposite half-tree. The existence of micro-supported actions is in turn closely related to the structure of locally normal subgroups (closed…

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