Palestras e Seminários
09/09/2020
16:20
meet.google.com/otv-pzst-kuz
Palestrante: Alexandre Fernandes
Responsável: Hellen Santana (hellen@usp.br)
Seminário de Singularidades
The multiplicity of an algebraic curve C in the complex plane on a point p of that curve is the number of points on the intersection of C with a general line passing near p. One shows that p is a singular point of C if and only if this multiplicity is bigger or equals 2. In this lecture, we show the classic concept of multiplicity of singular points of complex algebraic sets (not necessarily complex curves) and we approach the nature of the multiplicity of singular points as a geometrical invariant under the perspective of the Multiplicity Conjecture (Zariski 1971) and results obtained in joint work with L. Birbrair, J. de Bobadilla and J. E. Sampaio.