Alicia Dickenstein (Universidad de Buenos Aires)
Tuesday, March 2, 2021 - 17:45
Virtual event (Videobroadcast) - link for registration
Max-Planck-Institut fuer Mathematik in den Naturwissenschaften, 04103 Leipzig
Descartes rule of signs for univariate real polynomials is a beautifully simple upper bound for the number of positive real roots. Moreover, it gives the exact number of positive real roots when the polynomial is real rooted, for instance, for characteristic polynomials of symmetric matrices. A general multivariate Descartes rule is certainly more complex and still elusive. I will recall the few known multivariate cases and will present a new optimal Descartes rule for polynomials supported on circuits, obtained in collaboration with Frederic Bihan and Jens Forsgard.
submitted by Saskia Gutzschebauch (Saskia.Gutzschebauch@mis.mpg.de, 0341 9959 50)