学术报告（阳恩林 9.23）

Let $Y\to S$ be a smooth morphism of Noetherian schemes.For a morphism $f: X\to Y$ of finite type and a constructible sheaf $\mathcal F$ on $X$, we construct a cohomological characteristic class supported on the non-locally acyclic locus of $f$ relatively to $\mathcal F$. We propose a conjectural formula to relate this class with its classical version and we show this formula under certain transversal condition. As an application of this class, we prove a cohomological analogue of the Milnor formula proved by Saito in [Invent.Math.2017, Theorem 5.9]. This talk is based on the joint work with Yigeng Zhao.