DG Algebra Resolutions for Fiber Resolution

Hugh Geller – Clemson University

Abstract: In 2017, Dr. Saeed Nasseh and Dr. Sean Sather-Wagstaff proved certain rigorous properties of fiber products using the standard homological methods. Since other families of rings have been shown to have similar properties using methods involving commutative differential graded (DG) algebras, there is reason to expect we can achieve the results known by Dr. Nasseh and Dr. Sather-Wagstaff via DG algebras. This talk will address the work needed to complete the first step in applying the DG algebra proof to the case of fiber products.