º«¹úÂãÎè

Event

Jean Pierre Mutanguha (º«¹úÂãÎè)

Friday, January 31, 2025 11:00to12:00

Title:ÌýCanonically decomposing fibrations: 3-manifolds & groups.

Abstract: Given a homeomorphism f of a compact surface, the mapping torus M(f) is the surface bundle of the circle that has f as its monodromy. It so happens that homeomorphism on even different surfaces can still have homeomorphic mapping tori. Nevertheless, many important dynamical properties of homeomorphisms still translate to topological/geometric properties of the mapping torus. For instance, the Nielsen-Thurston decomposition of a surface homeomorphism becomes the JSJ/geometric decomposition of the mapping torus. I will discuss my ongoing attempt to extend these translations to the context of free-by-cyclic groups.

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Venue: PK-5115, 201 avenue du Président-Kennedy, Montréal, UQAM

The talk will be in hybrid format (here's the zoom link:

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