BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Arina Voorhaar (University of Geneva) DTSTART:20220106T151500Z DTEND:20220106T160000Z DTSTAMP:20260422T070129Z UID:CJCS/51 DESCRIPTION:Title: On the Newton Polytope of the Morse Discriminant\nby Arina Voorhaar (Uni versity of Geneva) as part of Copenhagen-Jerusalem Combinatorics Seminar\n \n\nAbstract\nA famous classical result by Gelfand\, Kapranov and Zelevins ky provides a combinatorial description of the vertices of the Newton poly tope of the A-discriminant (the closure of the set of all non-smooth hyper surfaces defined by polynomials with the given support A). Namely\, it giv es a surjection from the set of all convex triangulations of the convex hu ll of the set A with vertices in A (or\, equivalently\, the set of all pos sible combinatorial types of smooth tropical hypersurfaces defined by trop ical polynomials with support A) onto the set of vertices of this Newton p olytope. In my talk\, I will discuss a similar problem for the Morse discr iminant — the closure of the set of all polynomials with the given suppo rt A which are non-Morse if viewed as polynomial maps. Namely\, for a 1-di mensional support set A\, there is a surjection from the set of all possib le combinatorial types of so-called Morse tropical polynomials onto the ve rtices of the Newton polytope of the Morse discriminant.\n LOCATION:https://researchseminars.org/talk/CJCS/51/ END:VEVENT END:VCALENDAR