Some perturbation problems in Commutative Algebra

Time:

Venue/Location: Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi

Venue: A502, Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi

Lecturer: Assoc. Prof. Phạm Hùng Quý, FPT University

Short Bio: Phạm Hùng Quý was born in 1983 in Nam Định, Vietnam. He pursued his undergraduate studies at Hanoi National University of Education from 2001 to 2005, followed by a Master's program at the same institution from 2005 to 2007. He completed his Ph.D. at the Institute of Mathematics – Vietnam Academy of Science and Technology from 2010 to 2013. In 2016, he conducted postdoctoral research at the Vietnam Institute for Advanced Study in Mathematics (VIASM). Since 2007, he has been a faculty member at FPT University. In 2018, he was awarded the title of Associate Professor. 

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.

Registration: Please click Here

This is a hybrid meeting. Link zoom will be available to registered participants from outside Hanoi. For participants in the Hanoi area, we would like to invite you to attend in person. 

Deadline for registration: October 26, 2024

Contact: Ms. Nguyen Hong Anh: nguyenhonganh@viasm.edu.vn