Bruna Oréfice-Okamoto.

Wednesday, October 7th, 2020. Gmeet at 4:20 pm

Title: Equisingularity of families of functions on isolated determinantal singularities

Abstract: We study the equisingularity of a family of function germs
$\{f_t\colon(X_t,0)\to (\mathbb{C},0)\}$, where $(X_t,0)$ are $d$-dimensional
isolated determinantal singularities. We define the $(d-1)$th polar multiplicity of the
fibers $X_t\cap f_t^{-1}(0)$ and we show how the constancy of the polar
multiplicities is related to the constancy of the Milnor number of $f_t$ and the
Whitney equisingularity of the family. Joint work with R. S. de Carvalho, J. J. NuñoBallesteros and J. N. Tomazella