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Avoiding arithmetic progressions or right angles

Combinatorics Seminar

26th January 2021, 11:00 am – 12:00 pm
Virtual (online) Zoom seminar; a link will be sent to the Bristol Combinatorics Seminar and Heilbronn Number Theory Seminar mailing lists, the week before the seminar.

In this talk we discuss some bounds about sets avoiding certain arithmetic or geometric configurations in F_p^n (or more generally, in Z_m^n). In particular, we will consider the case of 6-term arithmetic progressions in Z_6^n, and sets avoiding right angles in F_p^n. Our methods can also be used to bound the maximum possible size of a binary code where no two codewords have Hamming distance divisible by a fixed prime p. Joint work with Palincza and with Bursics, Matolcsi and Schrettner.

Organisers: David Ellis, Tom Johnston

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