Regularity lemma and its applications Part I

Szemeredi's regularity lemma is an important tool in modern graph theory. It and its variants have numerous applications in graph theory, which in turn has applications in fields such as theoretical computer science and number theory. The first part of the talk covers some basic knowledge about the regularity lemma and some of its applications, such as the graph removal lemma. I will also discuss some recent works related to the removal lemma.