Topology and Related Topics Seminar Friday, 29 Sept 2023, 2:30 pm ======================== Venue: Ramanujan Hall Host: Rekha Santhanam Speaker: Aparajita Karmakar Affiliation: ISI Kolkata Title: Homotopy invariant commutative algebra Abstract: The goal of this lecture will be to introduce the concept of Morita equivalences. In Morita theory, we study an object X of a category by considering Hom(k,X) as a module over the endomorphism ring End(k), where k is a test object. Towards that, we will develop some finiteness conditions on an R - complex, where R is a commutative local ring, and their applications in Morita Theorems.