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

Date and Time: Tuesday, March 04, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Peter Allen (London School of Economics)

Tight cycles and regular slices in dense hypergraphs

I will describe an approach to hypergraph regularity which maintains the useful features for extremal combinatorics of the Strong Hypergraph Regularity Lemma, but whose output is a weighted hypergraph (rather than a weighted multi-complex). This approach substantially simplifies several results in extremal hypergraph theory, permitting regularity proofs in the style of those seen in extremal graph theory. I will avoid painful technical details where possible, and give an example application in the form of a hypergraph extension of the Erdos-Gallai theorem.

This is joint work with Julia Boettcher, Oliver Cooley and Richard Mycroft.

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