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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 11th, 2025
Title: On a new formulation of Ruas' Conjecture
Title: On a new formulation of Ruas' Conjecture
Speaker: Otoniel Silva - Universidade Federal da Paraíba - Brazil
Abstract: Transverse slices reduce complex structures to simpler ones, providing an effective tool to study the topology of map germs. In this talk, I will discuss the transverse slices of finitely determined, quasi-homogeneous, corank one map germs from C^2 to C^3. These slices are plane curves whose invariants illuminate the geometry of the original maps. I will highlight key results showing how this approach connects to the classical Ruas’ conjecture. We also provide a new formulation of Ruas' Conjecture in the context of equisingularity of families of map germs from C^2 to C^3 and the new results and open problems in this direction.
Nov 25th, 2025
Title: TBA
Title: TBA
Speaker: Nivaldo Grulha - ICMC - Universidade de São Paulo - Brazil
Abstract: TBA
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