Monodromy of analytic functions

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.