This project is maintained by ysykimura
2025年1月30日(木) 15:30~17:00
i-Siteなんば S5 (およびZoomのハイブリッド形式の予定)
Diego Alberto Barceló Nieves氏(University of Verona)
On (Co)silting Bijections Involving the Category of Large Projective Presentations
Based on results by Adachi-Iyama-Reiten, Marks-Šťovíček, Pauksztello-Zvonareva and Adachi-Tsukamoto, García successfully completed a commutative ‘triangular prism’ of bijections connecting the classes of support tau-tilting modules, functorially-finite torsion pairs and left finite wide subcategories in the category of finitely-generated A-modules—where A is a finite-dimensional algebra over an algebraically closed field—to the classes of ‘silting objects’, complete cotorsion pairs and thick subcategories with enough injectives in the category of projective presentations of objects in mod(A)—which has many powerful properties. In this talk, we will present advances towards generalizing these results to the realm of infinite-dimensional modules over more general classes of rings—and, furthermore, dualizing them. It is based on joint work in progress with Lidia Angeleri Hügel.