Haydee Lindo

Title: Trace Ideals and Endomorphism Rings

Abstract: In many branches of mathematics, the full set of “functions” between two objects exhibits remarkable structure; it often forms a group and in some special cases it forms a ring. In this talk, we will discuss this phenomenon in Commutative Algebra. In particular, we will talk about the endomorphism ring formed by the homomorphisms from a module to itself by first looking at commuting square matrices. I’ll also introduce the trace ideal and explain its role in the question “What properties of a module does its endomorphism ring detect?”

Dr. Lindo is Assistant Professor at Harvey Mudd College.