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SUMMARY:Jessica Sidman (Mount Holyoke College)
DTSTART:20221011T190000Z
DTEND:20221011T200000Z
DTSTAMP:20260423T035822Z
UID:Matroids/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/3/"
 >Matroid varieties</a>\nby Jessica Sidman (Mount Holyoke College) as part 
 of Matroids - Combinatorics\, Algebra and Geometry Seminar\n\nLecture held
  in Room 210\, The Fields Institute.\n\nAbstract\nLet $x$ denote a $k$-dim
 ensional subspace of $\\mathbb{C}^n$ and let $A_x$ be a $k\\times n$ matri
 x whose rows are a basis for $x$. The matroid $M_x$ on the columns of $A_x
 $ is invariant under a change of basis for $x$. What can we say about the 
 set $\\Gamma_x$ of all $k$-dimensional subspaces $y$ such that $M_y = M_x?
 $. We will explore this question algebraically\, showing that for some mat
 roids that arise geometrically many non-trivial equations vanishing on $\\
 Gamma_x$ can be derived geometrically. This is joint work with Will Traves
  and Ashley Wheeler.\n
LOCATION:https://researchseminars.org/talk/Matroids/3/
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