Discriminants of polynomial systems

Abstract: The space of all systems of polynomial equations with prescribed Newton polytopes contains the discriminant - the set of all systems with a degenerate root. The study of such discriminants (so called A-discriminants) was initiated by Gelfand, Kapranov, Zelevinsky and Sturmfels in 1990th. We make a review of existing results about the structure of discriminants and provide a conjecture about its number of irreducible components and their codimensions for tuples of Newton polytopes with positive mixed volume.

computational geometrydiscrete mathematicscommutative algebracombinatorics

Audience: researchers in the topic

Copenhagen-Jerusalem Combinatorics Seminar

Series comments: There is a mailing list for talk announcements. If you want to receive the announcements, send an e-mail to the organizer to subscribe to the mailing list.

The password for the zoom room is 123456