Virtual Commutative algebra seminar
Friday, 17 March 2023, 6.30 pm
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Host: J. K. Verma
Venue: meet.google.com/oes-jruv-qup
Speaker: Christine Berkesh
Affiliation: University of Minnesota, USA
Title: Differential operators, retracts, and toric face rings
Abstract: Toric face rings, introduced by Stanley, are simultaneous generalizations of Stanley–Reisner rings and affine semigroup rings, among others. We use the combinatorics of the fan underlying these rings to inductively compute their rings of differential operators. Along the way, we discover a new differential characterization of the Gorenstein property for affine semigroup rings. Our approach applies to a more general class of rings, which we call algebras realized by retracts. This is joint work with C-Y. Chan, P. Klein, L. Matusevich, J. Page, and J. Vassilev.