ɬ﷬

Event

Othmane Oukrid (ɬ﷬)

Wednesday, April 9, 2025 16:00to17:00
Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Odd Moebius—Kantor Ring Puzzles

Abstract: Moebius—Kantor complexes were introduced by Barré and Pichot to serve as a canonical family of spaces of “intermediate rank”, in an attempt to shed light on the flat-closing conjecture. They form a rich family of locally-defined CAT(0) spaces with interesting flat geometry, and can be distinguished up to isomorphism by an invariant called the parity. In this talk, we give an introduction to Moebius—Kantor complexes and report on a recent work by Barré, Pichot, and myself classifying the odd ring puzzles associated with them. These are tessellations of the Euclidean plane with local conditions constraining the set of admissible neighbourhoods, arising as embedded flat planes in our complexes.

We will gather for teatime in the lounge after the talk. Note that this will be the last talk of the semester.

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