Coupling for indefinite Sturm–Liouville and PT -symmetric operators

V. Derkach教授博士是文尼察（乌克兰）瓦西里·斯图顿涅茨克国立大学的正教授。他是一个世界领先的专家在延伸理论和理论的不定插值问题。这是该提案的主要目的是邀请他到伊尔梅瑙教学和进行研究作为墨卡托研究员。由于乌克兰东部的战争，V. Derkach博士教授不得不在2014年与他的研究小组离开顿涅茨克市。目前，文尼察的工作条件很困难，与欧洲或美国的同事建立联系并不容易。我们的目标是在V. Derkach教授的研究小组和C.Dr.C教授的研究小组之间建立一个富有成果的和持久的学术交流。在TU Ilmenau的树干。计划与墨卡托研究员一起开始一项雄心勃勃的研究计划，包括以下主题：·Sturm-Liouville算子谱分析中的耦合方法，不确定性·PT对称算子和超材料谱理论中的耦合方法，隐身和不可见性，·广义Stieltjes弦。此外，墨卡托研究员将提供精选的讲座。它们的设计方式是（硕士）学生将获得对墨卡托研究员研究领域的介绍，而TU Ilmenau的博士生将被引导进行新的和具有挑战性的研究活动。

Prof. Dr. V. Derkach, is a full professor at the Vasyl Stus Donetsk National University in Vinnytsya (Ukraine). He is a world’s leading expert in extension theory and in the theory of indefinite interpolation problems. It is the main aim of the proposal to invite him to Ilmenau for teaching and conducting research as a Mercator Fellow. Prof. Dr. V. Derkach had to leave the city of Donetsk in 2014 with his research group due to the war in east Ukraine. Currently, working conditions in Vinnytsya are difficult and connections to colleagues from Europe or the US are not easy to establish. It is our aim to establish a fruitful and long lasting academic exchange between the research group of Prof. Dr. V. Derkach and the group around Prof. Dr. C. Trunk at the TU Ilmenau. Together with the Mercator fellow, it is planned to start an ambitious research programme including the following topics:• coupling method in spectral analysis of Sturm–Liouville operators with indefinite• coupling method in spectral theory of PT -symmetric operators and metamaterials, cloaking and invisibility,• generalized Stieltjes strings.Moreover, the Mercator fellow will deliver a selection of lectures. They are designed in such a way that (master) students will obtain an introduction to the research area of the Mercator Fellow, and PhD students at the TU Ilmenau will be guided towards new and challenging research activities.