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SUMMARY:Matt Mastroeni (Iowa State University)
DTSTART:20230127T213000Z
DTEND:20230127T230000Z
DTSTAMP:20260423T021433Z
UID:FOTR/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/62/">Ch
 ow rings of matroids are Koszul</a>\nby Matt Mastroeni (Iowa State Univers
 ity) as part of Fellowship of the Ring\n\n\nAbstract\nKoszul algebras have
  long been studied in connection with topology and representation theory f
 or their exceptional homological and duality properties\, and they appear 
 with incredible frequency among rings at the intersection of commutative a
 lgebra\, algebraic geometry\, and combinatorics.  The Chow ring of a matro
 id is just such a ring - a commutative\, graded\, Artinian\, Gorenstein al
 gebra with linear and quadratic relations defined by the matroid\, which r
 ecently played an important role in establishing a number of long-standing
  conjectures on the combinatorics of matroids.\n\nIn this talk\, I will di
 scuss joint work with Jason McCullough affirmatively answering a conjectur
 e of Dotsenko that the Chow ring of any matroid is Koszul.  Time permittin
 g\, I will also mention some potential implications of this fact.  No prio
 r experience with matroids is necessary for the talk.\n
LOCATION:https://researchseminars.org/talk/FOTR/62/
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