Friday, November 20

on-line on zoom

• 14:00-14:55 Eder L. Sanchez Quiceno (Sao Carlos) Topological Triviality and Link-Constancy in Deformations of Inner Khovanskii Non-Degenerate Maps
  
  Abstract: A key question in real and complex singularity theory is to understand under what conditions a given multi-parameter deformation of a map germ is equisingular. A famous problem around this question is the \(\mu\)-constant problem. In this talk, we introduce sufficient conditions to ensure that the link of the singularity at the origin of each element of the deformation is well-defined and smooth, and that the isotopic type of these links is the same (link-constant deformation). We also discuss further assumptions under which the topological type of the elements of the deformation is the same. Finally, we show that this approach is natural in the case of deformations of inner Khovanskii non-degenerate maps, a notion that extends the non-degeneracy condition of C.T.C. Wall (J. Reine Angew. Math. 509, 1999). This is a joint work with Julián Espinel Leal.