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Seminar Presented By: Western Sydney University, Centre for Research in Mathematics and Data Science Abend Seminars
Speakers: Toke Carlsen, Faroe Islands and Mark Lawson, Edinburgh
Date and Time: Thursday May 14 and May 21, 2020 | 8 pm Sydney Time (UTC 10 am)
Zoom: Meeting ID: 997 1526 0928 | Password: wsydney11
Abstract: I will give an overview of some recent results that link diagonal-preserving isomorphism of graph algebras and isomorphism and equivalence of graph groupoids with continuous orbit equivalence, (eventual) conjugacy, and flow equivalence of symbolic dynamical systems constructed from directed graphs.
Abstract: The classical Stone dualities for lattices such as frames, distributive lattices and generalized Boolean algebras can be generalized to a non-commutative setting to pseudogroups, distributive inverse semigroups and Boolean inverse semigroups, respectively. The goal of this talk is to sketch out the how and to motivate the why. I shall not assume any background from inverse semigroups or \'etale groupoids.