Hukuhara-Levelt-Turrittin decomposition of a finite differential module over the power series ring k[[x]]

Thời gian: 16h30, thứ 5 ngày 23/2/2023

Địa điểm: Phòng 612 nhà A6, Viện Toán học

Link online: https://meet.google.com/yep-kbzk-eao?pli=1&authuser=4

Tóm tắt: In this talk, we will study in detail the work of Kiran S. Kedlaya: "Good formal structures for flat meromorphic connections, I: Surfaces."The main point we want to concentrate on is: the sufficient and necessary condition for the existence of Malgrange's decomposition of a formal flat connection on a surface. The criterion is written in terms of the spectral behavior of differential operators. Hence, it could be seen as a generalization of Robba's construction of the Hukuhara-Levelt-Turrittin decomposition in the one-dimensional case.