Formal connections with parameters over a complete local noetherian algebra (II)
Người báo cáo: Phạm Thanh Tâm (Đại học Sư phạm Hà Nội 2)
Thời gian: 15:00, thứ tư, 27/10/2021
Tóm tắt: Let $R$ be a complete local noetherian algebra over an algebraically closed field of characteristic zero. We prove that each connection on $R((x))$ is written as a sum of a regular singular connection and its polar parts. In addition, in the case $R$ is a discrete valuation ring, the decomposition, after restricted to the generic fibre, is compatible to the irregular decomposition in the sense of Levelt-Turrittin.
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