Brahim Abdenbi (McGill University)

Title: The Hrushovski property for compact special cube complexes.

Abstract: We show that any compact nonpositively curved cube complex Y embeds in a compact nonpositively curved cube complex R where each partial local isometry of Y extends to an automorphism of R. We prove a similar result for compact special cube complexes provided that the partial local isometries satisfy certain conditions. (Joint work with Dani Wise)