Embedded Files
Next talks
2025 - Semester 2
2025 - Semester 2
The Brazilians Singularity Theory Webinar of this semester will be dedicated to the memory of Maria Aparecida Soares Ruas (Cidinha). Her trajectory deeply marked the development of Singularity Theory in Brazil and worldwide, training generations of mathematicians and consolidating research groups that today continue her legacy.
This special series will feature talks by her collaborators, who will present results and perspectives related to her contributions, celebrating the strength and vitality of her work.
Nov 25th, 2025
Title: Bicomplex polar weighted homogeneous polynomials
Title: Bicomplex polar weighted homogeneous polynomials
Speaker: Inácio Rabelo (ICMC-USP)
Abstract: In this talk, we discuss the topology of singularities $\mathbb{R}^{4n} \longrightarrow \mathbb{R}^{4}$ expressed in terms of bicomplex variables and their conjugates. In the first part, we present a bicomplex version of the Milnor fibration theorem and some consequences for the topology of the fibers. In the second part, we introduce an action of nonzero bicomplex divisors and study polynomials that are invariants under this action. This leads to the existence of global and spherical fibrations and to a theorem of Join type. This is a joint work with Yesenia Bravo and Agustín Romano-Velázquez.
Page updated
Google Sites
Report abuse