Speaker: Phạm Hùng Quý
Time: 14h00 – 15h, Tuesday October 29, 2024
Venue: Vietnam Institute for Advance in Mathematics (VIASM)
Abstract: Many fundamental questions in singularity theory arise from studying deformations. One particular way of deforming a singularity is by changing the defining equations by adding terms of high order. This problem often arises while working with analytic singularities. The first instance is the problem of finite determinacy which asks whether for a singularity defined analytically, e.g., as a quotient of a (convergent) power series ring, can be transformed into an equivalent algebraic singularity by truncating the defining equations. In this talk, we discuss two parts: domain, reduced, normal properties of local rings under small perturbation; and Hilbert functions under small perturbations.
Program of Special Semester on Commutative Algebra | 
