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BIMSA Member Seminar
Integrable systems and representation theory: between geometry, algebra and analysis
Integrable systems and representation theory: between geometry, algebra and analysis
演讲者
时间
2024年04月29日 17:00 至 17:45
地点
A6-101
线上
Zoom 388 528 9728
(BIMSA)
摘要
This talk is an overview of some of the research directions that I am currently interested in. We will start with basic notions. The notion of an integrable system is clearly defined in the Hamiltonian mechanics, it extends naturally to quantum systems and to models of statistical mechanics where the transfer matrix is considered as a quantum evolution. After this introduction, I will focus on some examples that clearly illustrate the relation between integrable systems and representation theory. If time permit, I will also mention another research direction which is very important for quantum field theory but is not a part of the "world of integrable systems". It is the quantization of gauge theories.
演讲者介绍
Nicolai Reshetikhin教授出生于前苏联列宁格勒，即现俄罗斯圣彼得堡。1982年，毕业于列宁格勒国立大学，获得学士学位与硕士学位。1984年，毕业于斯捷克洛夫数学研究所，获得博士学位。曾在哈佛大学、加州大学伯克利分校、阿姆斯特丹大学等知名大学任教。两次受邀在ICM国际数学家大会做报告，其中一次为大会报告。Reshetikhin教授的主要研究方向为量子拓扑，量子群及其表示，经典与量子可积系统，可积统计力学模型。他是量子群理论创始人之一、Reshetikhin-Turaev不变量的作者之一，在量子可积系统理论、泊松几何、辛几何、Quantum Kac-Moody代数有重要研究成果。2010年当选为皇家丹麦研究院外籍院士，2021年当选为美国数学会会士。