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

Date and Time: Tuesday, March 02, 2021, 12:15 pm

Duration: 30 minutes

Location: Zoom: conference room

Speaker: Istvan Tomon

Ramsey properties of string graphs

A curve is the image of a continuous function from [0,1] to the plane. We prove that every set of n curves contains either n^c members that are pairwise disjoint, or n^c members that are pairwise intersecting, where c>0 is an absolute constant. This resolves a conjecture of Alon, Pach, Pinchasi, Radoičić and Sharir, also reiterated by Fox and Pach. Interestingly, the methods developed for the resolution of this problem played a key role in the recent breakthrough in the Erdős-Hajnal conjecture by Chudnovsky, Scott, Seymour and Spirkl.

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