Monodromy zeta function of rational functions.
Time:
Venue/Location: C2-714, VIASM
Speaker: Nguyễn Tất Thắng
Content:We consider the complex rational function, it defines a locally trivial fibration outside some bifurcation set. Such fibration generates monodromy of the generic fiber. The monodromy zeta function is defined in terms of the characteristic polynomials of the monodromy of fiber. In this talk, we recover the formula of the zeta function from the nearby cycles of some function.