Tin tức nổi bật
Hội thảo sắp diễn ra
THE 3RD VIETNAM - KOREA JOINT WORKSHOP ON SELECTED TOPICS IN MATHEMATICS
International conference on commutative algebra to the memory of Jürgen Herzog
Xuất bản mới
Stratified bundles, p-adic differential equations and spectral theory
Người báo cáo: Đào Văn Thịnh
Thời gian: 16h30, thứ 5 ngày 2/2/2023
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 series of talks (with T. Bao), we will review the notion of "regularity" of D-modules in the p-adic setting. To do so, we first recall some kinds of rings (and their properties) that frequently occur in the p-adic world: Robba ring, Witt ring, Cohen ring, and analytic ring, etc. By considering the relation between Robba ring and analytic ring, some questions related to the paper of Matzat-v.d.Put (Iterative differential equations and the Abhyankar conjecture) will be raised and discussed. In the second part, we will introduce the spectral theory of differential operators (Kedlaya's works). This will particularly allow us to see the similarity between two classical notions in this field: Poincare-Katz rank and p-adic convergent radii of solutions in Berkovich geometry. In the end, we introduce a "spectral" criterion of the existence of Turrittin-Levelt decomposition of irregular formal connections over a DVR.