中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 王斯萌 博士（哈工大数学研究院）
题 目：Functional analytic aspects of quantum group theory
时 间：2022.03.25（星期五），09:00-10:00
地 点：数学院南楼N202室 腾讯会议：399-197-364
摘 要：The quantum group theory was initiated in Drinfeld's celebrated work in 1980s. Motivated by noncommutative geometry and harmonic analysis, Woronowicz established around 1990 a relevant analytic theory of quantum groups in the framework of operator algebras, which was later completed by Stefaan Vaes around 2001 under the name of "locally compact quantum groups". This analytic theory has witnessed rapid developments in recent decades, with deep interactions with operator algebras, free probability and quantum information theory. This talk will include a quick review of basic ideas of this theory, and present some recent progress in this field, in particular with an emphasis on some problems in harmonic analysis, dynamics and probability.
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