Speaker: Ding Changying (UCLA)
Time: 2025-12-19 15:45-16:45
Location: 1410, SIMIS
摘要:
By exploiting dynamics of groups on their small-at-infinity boundaries, the notion of biexactness for groups was introduced by Ozawa in 2004 and has since become a major tool in von Neumann algebra theory. In this talk, I will describe a noncommutative analogue of small-at-infinity boundaries for von Neumann algebras and explain how it allows one to generalize the notion of biexactness to the von Neumann algebraic setting. Finally, I will present applications of these techniques to the structure and classification of von Neumann algebras and orbit equivalence rigidity.
About Speaker:
Changying Ding is currently a Hedrick Assistant Adjunct Professor at UCLA, working with Sorin Popa and Dimitri Shlyakhtenko. He finished his Ph.D. at Vanderbilt University under Jesse Peterson in 2023. Changying is an expert in von Neumann algebras and has made several important contributions to the study of rigidity aspects of Gromov’s measure equivalence, as well as approximation properties for von Neumann algebras. He has published in prestigious journals such as Duke, Advances, JFA, and CMP.
