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SUMMARY:Arina Voorhaar (Geneva)
DTSTART:20220113T130000Z
DTEND:20220113T140000Z
DTSTAMP:20260423T005802Z
UID:notts_ag/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/83/
 ">On the Newton Polytope of the Morse Discriminant</a>\nby Arina Voorhaar 
 (Geneva) as part of Online Nottingham algebraic geometry seminar\n\n\nAbst
 ract\nA famous classical result by Gelfand\, Kapranov and Zelevinsky provi
 des a combinatorial description of the vertices of the Newton polytope of 
 the $A$-discriminant (the closure of the set of all non-smooth hypersurfac
 es defined by polynomials with the given support $A$). Namely\, it gives a
  surjection from the set of all convex triangulations of the convex hull o
 f 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
  polytope. In my talk\, I will discuss a similar problem for the Morse dis
 criminant — the closure of the set of all polynomials with the given sup
 port $A$ which are non-Morse if viewed as polynomial maps. Namely\, for a 
 $1$-dimensional support set $A$\, there is a surjection from the set of al
 l possible combinatorial types of so-called Morse tropical polynomials ont
 o the vertices of the Newton polytope of the Morse discriminant.\n
LOCATION:https://researchseminars.org/talk/notts_ag/83/
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