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

__Mittagsseminar Talk Information__ | |

**Date and Time**: Thursday, April 23, 2015, 12:15 pm

**Duration**: 30 minutes

**Location**: OAT S15/S16/S17

**Speaker**: Rajko Nenadov

## Upper bounds for asymmetric Ramsey properties of random hypergraphs

Transferring Ramsey's theorem from dense (complete) to sparse hypergraphs is a well-studied problem: Is there a red/blue coloring of the edges of the random k-uniform hypergraph such that there is no red copy of a k-uniform hypergraph F_1 and no blue copy of a k-uniform hypergraph F_2? While the symmetric (F_1 = F_2) and graph (k = 2) cases are reasonably well understood, nothing is known for the asymmetric (F_1 different from F_2) hypergraph (k > 2) case. In this talk, we present a proof of the upper bound for the threshold of the existence of such a coloring in this case, under certain mild technical assumption on F_1 and F_2. This extends the work of Kohayakawa and Kreuter, and Kohayakawa, Schacht and Spöhel, who proved the upper bound in the asymmetric graph case. Our proof is based on the hypergraph-containers lemma by Samotij, Balogh and Morris, and Saxton and Thomason.

Joint work with Luca Gugelmann, Yury Person, Angelika Steger, Henning Thomas, and Nemanja Škorić.

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M | admin login