Recent Developments in Commutative Algebra: Levico Terme, Trento 2019

(Lecture Notes in Mathematics) 1st ed. 2021 Edition 

by Claudia Polini (Author), Aldo Conca (Editor), Srikanth B. Iyengar (Editor), Anurag K. Singh (Editor), Claudiu Raicu (Contributor), Matteo Varbaro (Contributor), Mark E. Walker (Contributor) 

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations.

Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field.

The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.