题目：Marcinkiewicz interpolation for non-commutative maximal norms
报告人：Léonard Cadilhac（Institut Mathématique de Jussieu, Sorbonne Université）
Zoom会议：会议号：882 8540 7533，会议密码：028422
摘要：In a landmark paper published in 2007, M. Junge and Q. Xu made significant contributions to noncommutative ergodic theory and in particular furthered our understanding of non-commutative maximal norms. One of their key results is a Marcinkiewicz-type interpolation theorem for those norms, for which they provide a long and technical proof. I will present recent work in collaboration with E. Ricard, where we revisit this theorem, providing a more compact proof and improving on the statement. The talk will first discuss non-commutative maximal norms and briefly introduce interpolation, then detail the main ideas and result, and finally present its more technical variants as well as some of the challenges ahead.