On November 26, 2025, at 10:00 AM, Professor Azer Akhmedov from the University of North Dakota, USA, will give a talk on “Tiles of Groups” at the Institute seminar.

A tile of a countable group is a finite subset whose non-overlapping left translations cover the entire group. We will review some recent results (including works related to Fuglede Conjecture) about the tilings of groups. It is unknown whether, for every countable group G, any finite subset K\subset G is contained in a tile of G. We prove this for hyperbolic groups (in the sense of Gromov).

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