Time: January 11, 2024, 2:00 pm

Place: Room 403, IMI – BAS

Speaker: Antoni Rangachev, IMI-BAS

Title: The Milnor number of a smoothable curve

Further information: https://icms.bg/the-milnor-number-of-a-smoothable-curve-talk-by-antony-rangachev/

Abstract. In this talk I will derive an algebraic formula for the Milnor number of a smoothable complex analytic curve singularity X by relating it to the Euler characteristic of its smoothing, which in turn I will relate to the multiplicity of the Jacobian ideal of X and and the multiplicity of X at its singular point. If time permits I will discuss generalizations to higher dimensions. This is a report on a joint work with Gaffney and Bengus-Lasnier.