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SUMMARY:Alex McDonough (Brown University)
DTSTART:20201026T190000Z
DTEND:20201026T200000Z
DTSTAMP:20260423T022740Z
UID:YUAAS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YUAAS/4/">A 
 Higher-Dimensional Sandpile Map</a>\nby Alex McDonough (Brown University) 
 as part of York University Applied Algebra Seminar\n\n\nAbstract\nTraditio
 nally\, the sandpile group is defined on a graph and the Matrix-Tree Theor
 em says that this group's size is equal to the number of spanning trees. A
 n extension of the Matrix-Tree Theorem gives a relationship between the sa
 ndpile group and bases of a class of orientable arithmetic matroids. I pro
 vide a family of combinatorially meaningful maps between these two sets.  
 This generalizes a bijection given by Backman\, Baker\, and Yuen and exten
 ds work by Duval\, Klivans\, and Martin. I will not assume any background 
 beyond undergraduate linear algebra.\n
LOCATION:https://researchseminars.org/talk/YUAAS/4/
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