The sharp threshold criterion and the container method; chisel and hammer

The sharp threshold criterion and the container method; chisel and hammer

-
Ehud Friedgut, Weizmann Institute
Fine Hall 224

I will present a sharp threshold result regarding Ramsey properties of random graphs, and focus on the use of the container method of Balogh-Morris-Samotij / Saxton-Thomason as a crucial tool that enables to push through proofs based on my sharp threshold criterion (one of many uses of this excellent hammer, that makes union bounds work where they previously were insufficient). Joint work with Mathias Schacht and Wojtek Samotij.