Event
Rachael Boyd (University of Glasgow)
Wednesday, July 23, 2025 15:00to16:00
Burnside Hall
Room 1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: Diffeomorphisms of reducible 3-manifolds
Abstract: I will talk about joint work with Corey Bregman and Jan Steinebrunner, in which we study the moduli space B Diff(M), for M a compact, connected, reducible 3-manifold. We prove that when M is orientable and has non-empty boundary, B Diff(M rel ∂M) has the homotopy type of a finite CW-complex. This was conjectured by Kontsevich and previously proved in the case where M is irreducible by Hatcher and McCullough. The theory we develop to prove this theorem has other applications, and I’ll provide an overview of these.