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Hypergraph Ramsey numbers

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Let H be a k-uniform hypergraph. The Ramsey number r(H) is the smallest number n such that in any two-colouring of the edges of the complete k-uniform hypergraph K_n, there is guaranteed to be a monochromatic copy of H. We will discuss various new bounds for hypergraph Ramsey numbers and related problems. This is joint work with Jacob Fox and Benny Sudakov.

This talk is part of the Junior Algebra and Number Theory seminar series.

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