This page hosts information on Fei Ren's talk "What is … a Chow Ring?" at the "What is …?" seminar. This talk will help you better understand the talk by Enrico Arbarello.
In algebraic geometry, the Chow ring (named after W. L. Chow by Chevalley (1958)) of a smooth algebraic variety over a field is an algebro-geometric analogue of the cohomology ring of a complex variety considered as a topological space. The elements of the Chow ring are formed out of actual subvarieties (so-called algebraic cycles), and the multiplicative structure is derived from the intersection of subvarieties. In this talk, we will define what is a Chow ring, introduce basic properties and see a few examples if time permits.