Palestras e Seminários

23/01/2024

16:30

Auditório Luiz Antônio Fávaro

Palestrante: Maria Elenice Rodrigues Hernandes

https://matematicaverao.wordpress.com/

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Resumo: In the local study of parameterized curves, surfaces or more generally complex map-germs, invariants with respect to some equivalence relation are important tools to characterize or classify these objects. For example, the class of $G$-finitely determined (or $G$-finite) map-germs is the focus of interest of many authors, where $G$ is a group of diffeomorphisms. If a map-germ is $G$-finite, then it is $G$-equivalent to a polynomial map-germ. For $G$ a Mather group, the Infinitesimal Criterion of finite determinacy guarantees that a map-germ is $G$-finitely determined if and only if a special invariant is finite. Our purpose in this talk is to present some algebraic tools to classify finitely determined monomial map-germs using essentially the so-called delta invariant, which is a classical invariant in the study of curves. We will illustrate the concepts and results with some examples. This is a joint work with Maria Aparecida Soares Ruas.

 

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