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DESCRIPTION: We introduce certain torus-equivariant classes on permutohedra
l varieties which we call "tautological classes of matroids" as a new geome
tric framework for studying matroids. Using this framework\, we unify and e
xtend many recent developments in matroid theory arising from its interacti
on with algebraic geometry. We achieve this by establishing a Chow-theoreti
c description and a log-concavity property for a 4-variable transformation
of the Tutte polynomial\, and by establishing an exceptional Hirzebruch-Rie
mann-Roch-type formula for permutohedral varieties that translates between
K-theory and Chow theory. This is a joint work with Andrew Berget\, Hunter
Spink\, and Dennis Tseng.
DTSTAMP:20210426T182200
DTSTART:20210503T163000
CLASS:PUBLIC
LOCATION:online
SEQUENCE:0
SUMMARY:Chris Eur (Stanford University): Tautological classes of matroids
UID:107776715@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20210503-L-Eur.html
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