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Back to Commutative Algebra Seminar: Spring 2023

Commutative Algebra Seminar


Date: Friday, Feb 17, 2023

Time: 2:00PM - 3:00PM

Location: LCB 222


Yotam Svoray

University of Utah

Title

Invariants on non-isolated hypersurface singularities

Abstract

A key tool in understanding (complex analytic) hypersurface singularities is to study what properties are preserved under special deformations. For example, the relationship between the Milnor number of an isolated singularity and the number of A_1 points. In this talk we will discuss the transversal discriminant of a singular hypersurfaces whose singular locus is a smooth curve, and how it can be applied in order to generalize a classical result by Siersma, Pellikaan, and de Jong regarding morsifications of such singularities. In addition, we will present some applications to the study of Yomdin-type isolated singularities.

Commutative Algebra

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