IWOTA Lancaster 2020: International Workshop on Operator Theory and its Applications to be held at Lancaster from 17th to 21st August 2020

算子理论是与电气工程和控制理论一起发展起来的。高级分析在通信领域的早期应用是惠特克1908年提出的抽样定理。在20世纪70年代，政治和文化因素阻碍了东欧和西方国家数学家和工程师之间的思想交流。1981年，J. W. Helton创立了算子理论与应用国际研讨会，作为网络与系统数学理论的附属机构。从那时起，IWOTA已经成长为一个主要的算子理论科学组织，每年举行会议，定期参加会议的人通过他们的出版物和参与科学期刊来指导这一主题的发展。2004年，EPSRC支持了IWOTA在英国纽卡斯尔举行的唯一一次会议。最近，算子理论在中国得到了发展，2019年在上海举行的IWOTA有352名参与者。Israel Gohberg是IWOTA开发背后的推动力量，Gohberg的科学遗产将由加拿大滑铁卢大学量子计算研究所的Vern Paulsen在兰开斯特大学举行纪念讲座。2020年8月，MTNS将在剑桥举行两年一次的会议。因此，对于IWOTA来说，在英国召开会议是一个很好的机会，对于英国的分析师来说，他们可以重申他们在该主题前沿的地位，并加强他们与美国、印度、欧洲和中国同事的联系。本次研讨会的当地组织委员会包括来自兰开斯特、纽卡斯尔和伦敦国王学院的成员，拥有英国最大的分析师团队，共有26名学术人员。IWOTA指导委员会由以前组织过讲习班的高级数学家组成。在PI与IWOTA召集人j.w. Helton在上海进行详细讨论后，IWOTA指导委员会批准了该提案中的科学议程。特别会议的组织者是根据他们是否愿意制定一个连贯和有吸引力的研究活动和会谈议程来选择的。科学议程以特别会议为基础，与会者将在特别会议上审议算子理论及其应用的具体方面。特别会议领导人将在会前从与会者建议的发言中选择发言题目和摘要。这些主题是由当地组织者与IWOTA指导委员会共同选择的，以便进一步发展以往关于既定主题的特别会议的成功，并促进在新出现的主题上取得进展。这将刺激算子理论在英国的发展。英国已经建立了微分算子和算子代数谱理论研究小组，我们期待英国的研究人员将在这些会议中发挥突出作用。然而，英国还没有在诸如自由代数几何等主题上建立研究小组，而研讨会将有助于提高对这些新领域的认识，并为研究创造新的机会，特别是对来自英国的早期职业研究人员。全体会议和半全体会议发言人是与特别会议有关主题的既定专家。他们是从几个国家选出的，反映了操作员理论作为一项科学努力的重要性和讲习班的国际性。算子空间、量子化函数理论与非交换Lp空间算子代数、量子理论中的算子代数、非交换概率与随机矩阵、算子半群与泛函微积分、微分算子的谱理论、解析函数空间上的算子及其应用、希尔伯特空间算子理论与复几何、自由代数几何新兴课题、早期职业研究者

Operator theory has developed alongside electrical engineering and control theory. An early application of advanced analysis to communications is Whittaker's sampling theorem from 1908. In the 1970s, political and cultural factors inhibited the exchange of ideas between mathematicians and engineers in Eastern Europe and Western countries. In 1981, J. W. Helton founded the International Workshop on Operator Theory and Applications as a satellite of the Mathematical Theory of Network and Systems. Since then, IWOTA has grown and has become established as a major scientific organization in operator theory, that holds annual meetings with regular participants who guide the development of the subject through their publications and involvement in scientific journals. In 2004, the EPSRC supported the only previous meeting of IWOTA in the UK, at Newcastle. Recently, operator theory has grown in China, as evidenced by the IWOTA in Shanghai in 2019 with 352 participants. Israel Gohberg was the driving force behind the development of IWOTA, and Gohberg's scientific legacy will be honoured by a memorial lecture at Lancaster by Vern Paulsen of the Institute of Quantum Computing at the University of Waterloo in Canada. In August 2020, MTNS is holding its biennial meeting in Cambridge. It is therefore opportune for IWOTA to meet in the United Kingdom, and for analysts in the UK to reassert their position at the forefront of the subject, and strengthen their links with colleagues in USA, India, Europe and China. Scientific organization The local organizing committee for this workshop includes members from Lancaster, Newcastle and King's College London, have the largest groups of analysts in the UK, with 26 academic staff. The IWOTA steering committee consists of senior mathematicians who have organized previous workshops. Following detailed discussions between the PI and the IWOTA convenor J. W. Helton in Shanghai, the IWOTA Steering Committee approved the scientific agenda in this proposal. The organizers of special sessions were selected according to their willingness to create a coherent and attractive agenda of research activity and talks. The scientific agenda is based upon Special Sessions at which participants will consider specific aspects of operator theory and its applications. From the suggested talks by participants, the Special Session Leaders will select titles for talks and abstracts in advance of the meeting. The topics have been selected by the local organizers in conjunction with the IWOTA Steering Committee so as to develop further the success of previous special sessions on established topics and stimulate progress on newly emerging topics. This will stimulate the development of operator theory within the UK. The UK already has established research groups in spectral theory for differential operators and operator algebras, and we expect that UK researchers will play a prominent role in these sessions. However, the UK has not yet developed research groups in topics such as free algebraic geometry, and the workshop will help to raise awareness of these new areas and create new opportunities for research, particularly for early career researchers from the UK. The plenary and semi plenary speakers are established experts on topics related to the special sessions. They have been chosen from several countries, reflecting the importance of operator theory as a scientific endeavour and the international character of the workshop. SPECIAL SESSIONS Operator spaces, quantized function theory and noncommutative Lp spaces Operator algebrasOperator algebras in quantum theoryNoncommutative probability and Random MatricesOperator semigroups and functional calculusSpectral theory for differential operatorsOperators on analytic function spaces and related applications Hilbert space operator theory and complex geometryFree algebraic geometry Emerging topicsEarly Career Researchers