MATH Seminar

Title: On Turan Problems for Weakly Quasirandom 3-uniform Hypergraphs
Colloquium: Department
Speaker: Christian Reiher of University Hamburg
Contact: Vojtech Rodl, Rodl@mathcs.emory.edu
Date: 2015-09-15 at 4:00PM
Venue: MSC W301
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Abstract: In recent work, we found a new proof of a conjecture due to Erdös and Sós stating that large weakly quasirandom 3-uniform hypergraphs with density greater than 1/4 contain four vertices spanning at least three hyperedges. This was proved earlier by Glebov, Kral, and Volec using flag algebras and computers. The new proof is based on the hypergraph regularity method and gave rise to further developments some of which are surveyed in this talk. This is joint work with Vojtech Rodl and Mathias Schacht.