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.

  Hoạt động tuần
Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)