Nearby cycles and Monodromy zeta function of rational functions.
Speaker: Nguyen Tat Thang (Institute of Mathematics, VAST)

Time: 9h, Wednesday, May 29, 2019,
Location: Room 611-612, Building A6, Institute of Mathematics
Abstract: We consider the complex rational functions, it defines a locally trivial fibration outside some bifurcation set. Such fibration generates monodromy of the generic fibers. The monodromy zeta function is defined in terms of the characteristic polynomials of the monodromy of fiber. In this talk, we interpret the monodromy zeta function in terms of the nearby cycles and give a formula for the zeta function of rational functions.