報告題目：A post-group theoretic perspective on the operator-valued S-transform in free probability
報 告 人：Kurusch Ebrahimi-Fard
所在單位：Norwegian University of Science and Technology
報告時間：2024年10月10日 20:00-22:00
Zoom Id: 904 645 6677，Password: 2024
會議鍊接：
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456
報告摘要: We discuss the algebraic structure underlying Voiculescu's S-transform in operator-valued free probability. It is shown how its twisted factorisation property gives rise to post-groups, crossed morphisms, as well as pre- and post-Lie algebras. Based on joint work with T. Ringeard (arXiv:2402.16450).
報告人簡介：Kurusch Ebrahimi-Fard earned his Ph.D. in Theoretical Physics from the University of Bonn under the supervision of D. Kreimer and R. Flume. He also hold a Maîtrise de Mathématiques from Université Joseph Fourier in Grenoble, France. His past academic roles include postdoctoral positions at the Institut des Hautes Études Scientifiques (IHES, Bures-sur-Yvette, France), the Max Planck Institute for Mathematics (MPIM, Bonn, Germany), Universidad de Zaragoza (Zaragoza, Spain), and Instituto de Ciencias Matemáticas (ICMAT, Madrid, Spain), as well as an associate professorship (Maître de Conférences) at Université de Haute-Alsace (Mulhouse, France). Since 2016, He has been working in the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) in Trondheim, Norway. He was awarded both the Juan de la Cierva and Ramón y Cajal fellowships. Additionally, he was a fellow of the Studienstiftung des Deutschen Volkes, the Evangelisches Studienwerk e.V., the German Academic Exchange Service (DAAD), and the European Post-Doctoral Institute (EPDI).
