Invitation to graphons

The first course in graph theory usually covers concepts such as
matchings, independent sets, colourings, and forbidden subgraphs. Around
2004, Borgs, Chayes, Lovasz, Sos, Szegedy, and Vestergombi introduced a
very fruitful limit perspective on graphs. The central objects of this
theory, so-called graphons, are suitable measurable counterparts to
graphs. In the talk, I will outline the syllabus of a hypothetical first
course in graphon theory, in particular introducing versions of all the
aforementioned concepts in the graphon setting. Based on work with
Dolezal, Hu, Mathe, Piguet, Rocha.