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SUMMARY:Christine Berkesh (University of Minnesota\, Minneapolis\, MN\, US
 A)
DTSTART:20230317T120000Z
DTEND:20230317T130000Z
DTSTAMP:20260423T035530Z
UID:VCAS/173
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/173/">D
 ifferential operators\, retracts\, and toric face rings</a>\nby Christine 
 Berkesh (University of Minnesota\, Minneapolis\, MN\, USA) as part of IIT 
 Bombay Virtual Commutative Algebra Seminar\n\n\nAbstract\nToric face rings
 \, introduced by Stanley\, are simultaneous generalizations of Stanley–R
 eisner rings and affine semigroup rings\, among others. We use the combina
 torics of the fan underlying these rings to inductively compute their ring
 s of differential operators. Along the way\, we discover a new differentia
 l characterization of the Gorenstein property for affine semigroup rings. 
 Our approach applies to a more general class of rings\, which we call alge
 bras realized by retracts. This is joint work with C-Y. Chan\, P. Klein\, 
 L. Matusevich\, J. Page\, and J. Vassilev.\n
LOCATION:https://researchseminars.org/talk/VCAS/173/
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