[Mini Courses] (Mini-course) The regularity theory on a range of problems in free boundaries (2)

In these series of talk, I shall first give a fast introduction to free boundary problems, and present several problems that lead to free boundaries. I shall give the general framework on how the regularity theory has evolved and present approaches to the topic. If time allows I shall discuss systems, and some rigidity theory, such as symmetry etc. An approximate plan of the lectures is:
1) An introduction to Free boundary problems.
2) Important tools in regularity of free boundary theory: Detailed account of several tools and their use
3) Rigidity of global solutions in free boundary problems: Discussions about several problems of free boundaries in entire space and how they look like (classifications).
4) Local regularity theory: general framework and approaches; Some new insights and modern results.