國立清華大學 數學系

Abstract:
The aim of this talk is to explain how to resolve the open question of whether singular foliations generated by vector fields vanishing at a prescribed order can be realized as the image of a finite-rank Lie algebroid. We provide a constructive affirmative answer by formulating an explicit finite-rank left-symmetric algebroid whose anchor map precisely recovers the foliation, thus bypassing infinite-dimensional homological obstructions. This talk is based on joint work with Austin Davis, Sangjun Ko, and Kaichuan Qi.