I: An Introduction to Characteristic Classes on Singular Varieties II: The Characteristic Classes of Restricted Constructible Functions on Free Divisor Complement

：张希平（同济大学）
：2024-11-19 09:30
：海韵园实验楼S204

报告人：张希平（同济大学）

时  间：2024年11月19日9:30

地  点：海韵园实验楼S204

内容摘要:

I: Characteristic classes generalize classical topological invariants by extending them from numbers to cohomology classes. These classes capture important topological features of the base space, particularly the appearance of singularities. In recent work by June Huh, Bernd Sturmfels and others, these numerical invariants have been connected to other areas of mathematics such as algebraic combinatorics and algebraic statics. In this talk, we will introduce the theory of characteristic classes in the context of singular projective varieties, exploring their role in understanding the topology of such spaces.

II: Let U be the complement of a divisor D. For any other hypersurface V of M, the intersection of V with D is affected by both the intersection behavior and their singularities. This intersection is traditionally studied using a log resolution and logarithmic methods. In this talk we will focus on the Chern class of the complement V∩U. We will discuss how to understand such Chern class when V is Logarithmic transverse to D.

个人简介：

张希平, 同济大学助理教授。本科毕业于浙江大学竺可桢学院,博士毕业于美国佛罗里达州立大学。研究方向为代数几何,集中于奇异代数簇上的示性类和与几何不变量，以及全纯映射的多重奇异点的计数几何的研究。曾在J. Algebra和J. Singularity等期刊发表学术文章。

 

联系人：欧剑宇