Leírás
It is well known that if a finite set of integers A tiles
the integers by translations, then the translation set must be
periodic, so that the tiling is equivalent to a factorization A+B=Z_M
of a finite cyclic group. Coven and Meyerowitz (1998) proved that when
the tiling period M has at most two distinct prime factors, each of
the sets A and B can be replaced by a highly ordered "standard" tiling
complement. It is not known whether this behavior, which has tight
connections to the celebrated Fugelede's conjecture, persists for all
tilings with no restrictions on the number of prime factors of M.
In joint work with Izabella Laba (UBC), we proved that this is true
for all sets tiling the integers with period M=(pqr)^2. In my talk I
will discuss this problem, some artifacts from the proof as well as
future prospects. No prior knowledge on the subject will be assumed.
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Andras Biro is inviting you to a scheduled Zoom meeting.
Topic: My Meeting
Time: Mar 19, 2024 02:00 PM Budapest
Join Zoom Meeting
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