题目：Marcinkiewicz interpolation for non-commutative maximal norms

报告人：Léonard Cadilhac（Institut Mathématique de Jussieu, Sorbonne Université）

时间：2022年11月30日（星期三），16:00-17:30

Zoom会议：会议号：882 8540 7533，会议密码：028422

会议链接：https://zoom.us/j/88285407533?pwd=NFlsWlZlb2F3c3VmMHBqOXVud1NpQT09

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.

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