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Turan densities for daisies and hypercubes

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OOEW04 - Structure and Randomness - a celebration of the mathematics of Timothy Gowers

The Turan problem for hypercubes asks: how few vertices of the n-dimensional cube can we take so that they meet every d-dimensional subcube? A longstanding conjecture states that the best one can do (asymptotically) is 1/(d+1) of all vertices, by taking every (d+1)th layer of the cube. In this talk we will explain the connection to Turan questions for`daisy’ hypergraphs, and present a disproof of the conjecture. This is joint work with David Ellis and Maria Ivan.

This talk is part of the Isaac Newton Institute Seminar Series series.

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West Hub Lecture Theatre 2 and Online (registration required) Hicks & Mead Rooms, University Centre, Granta Place Hicks & Mead Rooms, University Centre, Granta Place

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