- 제목: Maximal operators and applications

- 초록: In 2025, Hong Wang and Joshua Zahl proved Kakeya conjecture in dimension three. 

One of the key ingredients of their proof is a sharp $L^p$-boundedness of a generalization of Wolff's circular maximal operator. In the talk, I introduce several maximal operators and recent work with Shengwen Gan and Dominique Maldague.