Konstantinos Kourliouros

Wednesday, August 26th, 2020. Gmeet, at 4:20 pm

**Title: "Relative Quasihomogeneity of Functions on Analytic Varieties".**

**Abstract**: Let X be an analytic variety f a function germ which is finitely determined

with respect to X. In this talk we give conditions under which the following relative

analog of the well known theorem of K. Saito holds: equality of the relative Milnor

and Tjurina numbers (also called Bruce-Roberts numbers) is equivalent to the

quasihomogeneity of the pair (f,X) in an appropriate coordinate system and with

respect to the same positive rational weights'