Events

DMS Algebra Seminar

Time: Sep 20, 2022 (02:30 PM)
Location: 358 Parker Hall

Details:

Speaker: Prashanth Sridhar (local)

Title: A search for maximal Cohen-Macaulay modules
 
Abstract: Maximal Cohen-Macaulay (MCM) modules are a classical topic enjoying various connections to singularities in algebra and geometry. Active research problems lie both in their classification and in their search. They abound when the ring has the Cohen-Macaulay (CM) property and are notoriously hard to find otherwise. After looking at some past results regarding their existence, we consider a natural viewpoint to this problem, which in turn leads us naturally to the "modular case" of a theorem of Paul Roberts from 1980.