报告题目：On the first cohomology group of Murray-von Neumann algebras

报 告 人：Karimbergen Kudaybergenov

所在单位：V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences

报告时间：2022年11月18日  15:30-17:30

报告地点：ZOOM ID：862 062 0549，Code：2022

会议链接：https://us02web.zoom.us/j/8620620549?pwd=bGhsaG15WjRza2V3ZEN4TzJYZ1FZQT09

报告摘要：This talk presents a full resolution of the problem stated by Ayupov in 2000 and partly restated in 2014 by Kadison and Liu. We explain a background of the Ayupov–Kadison–Liu Problem and its connection with general derivation theory in operator algebras starting with fundamental results due to Kaplansky, Kadison, Sakai and others. We shall cite and brief explain major results concerning derivations on algebras of unbounded operators and list results concerning some special cases of the problem. Finally, the main result yielding the full resolution will be stated.

报告人简介：Karimbergen Kudaybergenov is a head at the Karakalpak branch of V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences. His research focused on operator algebras and mappings on non-associative algebras. Karimbergen Kudaybergenov is an influential expert in the studies of derivations of unbounded operator algebras, who is also an exceptionally prolific author publishing his results in top internationally recognized journals. The highest quality of his research contributions has been recognized in Uzbekistan. In 2017, he was awarded the State Prize of the first degree in the field of Science and Technology of the Republic of Uzbekistan. Further, in 2017, he was awarded an Honored Scientist of the Republic of Karakalpakstan.