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All seminars (unless otherwise stated) will take place on Tuesdays at 3.00pm in Room Archeology G6 (31-34 Gordon Square). See the map for further details. There will be a small reception afterwards in Mathematics Room 502 (25 Gordon Street). If you require any more information on the Departmental Colloquia please contact Prof Dima Vassiliev e-mail: d.vassiliev AT ucl.ac.uk or tel: 020-7679-2442.
7 March 2017
Prof Imre Leader (Univeristy of Cambridge)
Tiling with arbitrary tiles
Tiling with arbitrary tiles
Abstract:
Suppose that we have a tile (a finite subset of the grid Z^d for some d). It may or may not tile Z^d, meaning that we can partition Z^d into copies of it. But what about tiling a higher dimension? We show that, for every tile, there is some grid Z^m that it tiles. This resolves a conjecture of Chalcraft.