The discussion centers around identifying a mathematical operator that returns 1 when two variables are equal and 0 when they are not. Initially, the XNOR operator is suggested, but it is clarified that the correct term is the Kronecker delta. The Kronecker delta function is used in mathematics, particularly in summation contexts, to indicate equality between two variables. The conversation highlights the importance of precise terminology in mathematical discussions. The Kronecker delta effectively serves the purpose of distinguishing between equal and unequal values.