Getting a module from another and classifying resolving subcategories

Abstract: Let $R$ be a commutative noetherian ring. Let $M$ and $N$ be finitely generated $R$-modules. When can we get $M$ from $N$ by taking direct summands, extensions and syzygies? This question is closely related to classification of resolving subcategories of finitely generated $R$-modules. In this talk, I will explain what I have got so far on this topic.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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