Speaker: Jiawen Zhang (Fudan)
Time: 2025-09-19 14:30:00
Venue: R1410
Abstracts:
The notion of Property A was introduced by G. Yu as a coarse analogue of amenability, which plays a key role to attack the coarse Baum-Connes conjecture. In his original definition, the family of Property A sets of a metric space X are allowed to taken in X \times \mathbb{N}. We show that the Property A sets can indeed be chosen in X itself for any discrete metric space of bounded geometry. The key idea is to use a smearing map, inspired from uniformly finite homology introduced by Block and Weinberger. This is a joint work with G. Niblo, N. Wright and J. Zhu.
Introduction to the speaker: Jiawen Zhang is an associate professor in the School of Mathematical Sciences, Fudan University. His research interests include geometric group theory, coarse geometry, operator algebras, higher index theory, graph theory, and dynamical systems. He has published multiple papers in prestigious journals such as Adv. Math., Trans. Amer. Math. Soc., Commun. Math. Phys., etc..
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