Periods of algebraic varieties

：沈明民（荷兰阿姆斯特丹大学）
：2025-03-19 08:30
：海韵园实验楼S205

报告人：沈明民（荷兰阿姆斯特丹大学）

时  间：2025年3月19日8:30

地  点：海韵园实验楼S205

内容摘要:

Algebraic varieties are spaces defined by polynomial equations. Calculus on such spaces easily leads to integrals of algebraic differential forms along topological cycles; such integrals give an interesting class of numbers, called periods. One example is the elliptic integral, which has played an important role in the development of mathematics. Periods are very important, but they are also very difficult to calculate. In this talk, I will describe a modern framework for the study of periods and some conjectures on their properties. Then I will discuss some known results around these conjectures.

个人简介：

沈明民，阿姆斯特丹大学Korteweg-de Vries数学研究所Universitair Docent，博士生导师。研究方向为代数几何领域中的Hodge理论、代数闭链、motives理论以及hyperkähler几何。主要论文发表在Crelle’s journal，Mem. Amer. Math. Soc.，J. Algebraic Geometry, Geometry & Topology等国际知名期刊上。

联系人：吕人杰