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SUMMARY:Alex Fink (Queen Mary University of London)
DTSTART:20230131T200000Z
DTEND:20230131T210000Z
DTSTAMP:20260423T005707Z
UID:Matroids/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/32/
 ">Matrix orbit closures and their Hilbert functions</a>\nby Alex Fink (Que
 en Mary University of London) as part of Matroids - Combinatorics\, Algebr
 a and Geometry Seminar\n\nLecture held in Room 210 The Fields Institute.\n
 \nAbstract\nIf an ordered point configuration in projective space is repre
 sented by a matrix of coordinates\, the resulting matrix is determined up 
 to the action of the general linear group on one side and the torus of dia
 gonal matrices on the other. We study orbits of matrices under the action 
 of the product of these groups\, as well as their images in quotients of t
 he space of matrices like the Grassmannian. The main question is what prop
 erties of closures of these orbits are determined by the matroid of the po
 int configuration\; the main result is that their equivariant K-classes ar
 e so determined. I will also draw connections to positivity and the work o
 f Berget\, Eur\, Spink and Tseng.\n
LOCATION:https://researchseminars.org/talk/Matroids/32/
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