报告题目：The Universal Post-Lie-Rinehart Algebra of Planar Aromatic Trees

报 告 人：Ludwig Rahm

所在单位：University of Geneva

报告时间：April 23, 2026, 21:00-23:00

报告地点：Zoom Id: 904 645 6677，Password: 2026

会议链接：

//us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

报告摘要: Aromatic B-series have been used to study volume-preserving numerical integrators on Euclidean spaces. One important result in the success of aromatic B-series is that each aromatic B-series method can be represented by an element in the free tracial pre-Lie-Rinehart algebra. This talk will extend this result to homogeneous spaces. We will first discuss the underlying structures of Lie algebroids, Lie-Rinehart algebras and post-Lie algebras. We will then arrive at a natural definition for tracial post-Lie-Rinehart algebras, and will describe the free object in this category.

Bio:  Ludwig Rahm defended his PhD at Norwegian University of Science and Technology in December 2024 under the supervision of Kurusch Ebrahimi-Fard and Hans Zanna Munthe-Kaas. He is currently a Post-doc at University of Geneva under the supervision of Gilles Vilmart.