Formal connections with parameters over a complete local noetherian algebra (I)
Người báo cáo: Phạm Thanh Tâm (Đại học Sư phạm Hà Nội 2)

Thời gian: 20:00. thứ tư, 20/10/2021

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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