Time：14:00-16:00, Wednesday, May 6 2026
Venue：E14-116
Speaker：Xiping Zhang, Tongji University
Title：Some Poincaré–Hopf type index formulas for Logarithmic Foliations
Abstract: On a compact complex manifold, when a vector bundle admits a nowhere-vanishing rank-one holomorphic foliation, all its top-degree Chern numbers vanish due to Baum–Bott vanishing theorem. When the foliation has singularities, one can associate various indices to these singular points and obtain several Poincaré–Hopf type index formulas for the Chern classes of the foliation.
In this talk, we will discuss some of these index formulas and show that they can be unified and generalized within the framework of microlocal intersection theory. This is joint work with Xia Liao.
