Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, November 15, 2018, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Adam Zsolt Wagner

An extremal problem concerning projective cubes

In the Boolean lattice, Sperner's, Erdos's, Kleitman's and Samotij's theorems state that families that do not contain many chains must have a very specific layered structure. We show that if instead of Z_2^n we work in Z_{2^n}, some analogous statements hold if one replaces the word k-chain by projective cube of dimension 2^{k-1}.

This is joint work with Jason Long.

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