Algebra-Algebraic and Aritmetic Geometry Seminar
Fundamental groups of plane curve complements
Speaker: Eva Elduque (ICMAT-UAM)Date: Monday, 10 March 2025 - 12:00Place: Aula 420, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
The fundamental group of the complement of a plane curve C in the complex projective plane is a powerful invariant which is sensitive to the type and position of singularities of C. In this talk, we'll give an overview of fundamental groups of plane curve complements, including the Zariski-van Kampen method for finding presentations of these groups. We'll also discuss recent progress on the topic (joint with José Ignacio Cogolludo Agustín) regarding curve complements whose fundamental group is a free product of cyclic groups.
