DMS Algebra Seminar

Speaker: Maria Akter (University of Alabama)

Title: \(m\)-adic Continuity of Frobenius Splitting Ratio

Abstract: The study of singularities under perturbation is classical, with origins dating back to the 50's and 60's through the work of Samuel and Hironaka. In this talk, we introduce the theory of \(F\)-singularities in prime characteristic rings and examine continuity problems in relation to perturbation theory. Our main result characterizes the continuity of the \(F\)-splitting ratio.