Speaker: Dominique Manchon (Université Clermont-Auvergne)

Time: 20:00-21:00 p.m., February 1, 2024, GMT+8

Venue: https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09, ZOOM ID：904 645 6677,   Password：2023

Abstract: 

After providing a short review on the recently introduced notion of post-group by C. Bai, L. Guo, Y. Sheng and R. Tang, we will exhibit post-group and weak post-group counterparts of important post-Lie algebras in the literature, including the infinite-dimensional post-Lie algebra of Lie group integrators. The notion of free post-group will be examined, and a group isomorphism between the two group structures associated to a free post-group, reminiscent to A. Gavrilov's K-map in differential geometry, will be described. This is a joint work with Mahdi Jasim Hasan Al-Kaabi (Mustansiriyah University, Baghdad, Iraq) and Kurusch Ebrahimi-Fard (NTNU, Trondheim, Norway).

Source: Sino Russian Mathematics Center, PKU