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“九章讲坛”第926讲 — Caterina Campagnolo 博士后

日期:2024-12-02点击数:

应365英国上市官网在线邀请,西班牙Autonomous University of Madrid博士后Caterina Campagnolo将于2024年12月4日(星期三)进行在线学术报告,欢迎广大师生参加。

报告题目:A new vanishing criterion for bounded cohomology

时 间:2024年12月4日(星期三)21:00 – 22:00

Zoom:931 6643 0051

报告摘要:First studied in the 70's in the context of Banach algebras, the theory of bounded cohomology was then widely generalised by Gromov, who converted it into a powerful tool to study groups and spaces. It is by now a well-established invariant, but on its flip side it is often difficult to compute and, beyond the case of amenable groups, many questions remain widely open.

I will introduce the basics of bounded cohomology of groups and its main properties, before turning to recent results obtained with Francesco Fournier-Facio, Yash Lodha and Marco Moraschini: a new algebraic condition that implies the vanishing of the bounded cohomology of a given group for a big family of coefficient modules. This condition is satisfied by many non-amenable groups of topological, geometric or algebraic origin.


报告人简介

Caterina Campagnolo,西班牙Autonomous University of Madrid博士后。她的研究兴趣是:simplicial volume and its variants, bounded cohomology, low-dimensional geometry and topology, and geometric group theory。Caterina Campagnolo博士在瑞士日内瓦大学(University of Geneva)取得博士学位,之后曾在德国卡尔斯鲁厄理工学院(Karlsruhe Institute of Technology)和法国里昂高等师范学院(ENS Lyon)从事博士后研究工作。


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