I would like to announce the following talk that will be held on Thursday December 12th 2019, at 4:30 PM, in Aula Dal Passo of the Department of Mathematics, University of Rome Tor Vergata.
Speaker: Antonio Lerario (SISSA Trieste)
Title: Low-degree approximation of real singularities
Abstract: In this talk I will discuss some recent results that allow to approximate a real singularity given by polynomial equations of degree $d$ (e.g. the zero set of a polynomial, or the number of its critical points of a given Morse index) with a singularity which is diffeomorphic to the original one, but it is given by polynomials of degree $O(d^{1/2}log d)$. The approximation procedure is constructive (in the sense that one can read the approximating polynomial from a linear projection of the given one) and quantitative (in the sense that the approximating procedure will hold for a subset of the space of polynomials with measure increasing very quickly to full measure as the degree goes to infinity). This is based on a combination of joint works with P. Breiding, D. N. Diatta and H. Keneshlou.
— This talk is part of the activity of the MIUR Excellence Department Project CUP E83C18000100006 —
—————— Anna Vidotto
PostDoc Researcher Dipartimento di Matematica Università degli Studi di Roma Tor Vergata