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Title:聽Elena Hafner, University of Washington

Abstract:聽Castelnuovo-Mumford polynomials are the maximal degree components of Grothendieck polynomials.聽聽The support of each Castelnuovo-Mumford polynomial is conjectured to be M-convex, i.e. the set of integer points of a generalized permutahedron (M茅sz谩ros and St. Dizier, 2020).聽聽This conjecture is known to hold in certain special cases but remains open in general. We define new families of permutations whose Castelnuovo-Mumford polynomials we show to have M-convex support.聽聽Specifically, we investigate which permutations have Castelnuovo-Mumford polynomials whose supports are the set of integer points in a schubitope.

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