課程題目：Coarse geometry and operator algebras : a minicourse
授 課 人：Yeong Chyuan Chung 博士後
所在單位：Leiden University
課程地點：騰訊會議：869-2118-6000，密碼：3721
騰訊會議鍊接：https://meeting.tencent.com/dm/x708itdk0Eq1
課程介紹：Coarse geometry involves studying metric spaces by looking at them from far away, and it is important in areas of mathematics such as geometric group theory. In recent times, its interaction with operator algebras has also been an active area of research with applications to problems in topology and differential geometry. In this mini-course, we aim to introduce basic notions in coarse geometry and a class of operator algebras known as Roe algebras. Starting from coarse geometry, we will introduce basic definitions such as coarse embeddings and coarse equivalences, then we will introduce some coarse geometric invariants such as asymptotic dimension and property A. Next, we will introduce Banach algebras and C*-algebras with examples of these, then we will focus on Roe algebras and how they reflect the coarse geometry of the underlying metric spaces. Finally, we will briefly introduce operator K-theory and the coarse Baum-Connes conjecture involving the K-theory of Roe algebras.
報告人簡介：Yeong Chyuan Chung（鐘永權），2017年博士畢業于美國德州農工大學, 主要從事粗幾何、L^p算子代數、K-理論的研究。 近年來在J. Funct. Anal.，J. Noncommut. Geom.等雜志上發表多篇高水平論文。
