学术报告一

报告题目：Dynamical Entanglement

报告人：肖运龙(新加坡南洋理工大学)

报告时间：2022年1月4日（星期二 ）9:00-10:00

腾讯会议：769-660-061

参加人员：教师、研究生、本科生

报告人简介: Yunlong Xiao received his first Ph.D. degree in Mathematical Physics at the Max Planck Institute for Mathematics in the Sciences (MiS) in Leipzig, Germany (under the supervision of Prof. Jürgen Jost and Prof. Naihuan Jing) in February 2017 and his second Ph.D. degree in Pure Mathematics from South China University of Technology (under the supervision of Prof. Naihuan Jing) in June 2017. Following that, he was a Postdoctoral Fellow at the Institute for Quantum Science and Technology at the University of Calgary, Canada (under the supervision of Prof. Barry C. Sanders and Prof. Gilad Gour) until August 2019. He is currently with the Quantum Hub at the School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore as a Research Fellow.

报告摘要：As a distinctive phenomenon of quantum physics, entanglement lies at the heart of quantum mechanics, and connects us to an important moment, where the seed of quantum information theory begins to germinate. Riding the waves of quantum information processing, entanglement theory brings us batch of applications, ranging from the early stage, such as quantum teleportation, dense coding, quantum cryptography, to the state-of-the-art quantum technologies, such as quantum machine learning. The commonly used assumptions in investigating entanglement theory, including both the state (static) and channel (dynamical) cases, are that (i) the quantum systems are independent and identically distributed, and (ii) the quantum systems have been perfect isolated with their environment. However, none of these assumptions can be justified a priori, and hence separate the corresponding theoretical results apart from our real physical world. To meet this challenge, we investigate the mathematical structure of quantum dynamics, and introduce the en- tanglement theory of sequential processes, where each process does not necessarily evolve identically and independently, and might even contains internal memories. Our results fill the gap between theoretical developments and quantum technolo- gies in practice, opening the way for investigating the quantum dynamics.

学术报告二

报告题目：Application of Schur-Weyl duality to Springer theory

报告人：马海涛(哈尔滨工程大学)

报告时间：2022年1月4日（星期四）10:00-11:00

腾讯会议：769-660-061

参加人员：教师、研究生、本科生

报告人简介：马海涛，博士毕业于华南理工大学，主要从事几何表示论方面的研究，具体是量子对称对的Schur-Weyl对偶的几何实现以及Cluster代数方面的研究，目前完成并在国内外重要刊物发表论文多篇。

报告摘要：We give the realization of Schur-Weyl duality of the symmetric pair by using the Springer theory of type B and C, and give the decomposition of the tensor space as bimodule. As an application, we can give the number of irreducible component of the springer fiber.