Monodromy of analytic functions

Người báo cáo: Lê Dũng Tráng (Aix-Marseilles University, France)


Thời gian: 09h30, thứ năm, ngày 23/3/2023.

Địa điểm: Phòng 507, nhà A6.

Tóm tắt: There is famous theorem of N. A'Campo which says that if germ of complex analytic function $fin {mathcal O}_{X,x}$ belongs to the square of the maximal ideal ${mathfrak M}_{X,x}$, the Lefschetz number of the monodromy of $f$ at the point $x$ is $0$. We shall show that it means that the geometric monodromy of $f$ at $x$ has no fixed point. We shall introduce all the notions necessary to understand this result.

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Xuất bản mới
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
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