Events

DMS Algebra Seminar

Time: Sep 28, 2021 (03:00 PM)
Location: 250 Parker Hall

Details:

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Speaker: Justin Chen (ICERM, Brown University)

Title: 
(Differential) Primary decomposition of modules


Abstract: 
Primary decomposition is an indispensable tool in commutative algebra, both theoretically and computationally in practice. While primary decomposition of ideals is ubiquitous, the case for general modules is less well-known. I will give a comprehensive exposition of primary decomposition for modules, starting with a gentle review of practical symbolic algorithms, leading up to recent developments including differential primary decomposition and numerical primary decomposition. Based on joint works with Yairon Cid-Ruiz, Marc Harkonen, Robert Krone, and Anton Leykin.