Differential operators, retracts, and toric face rings
Christine Berkesh (University of Minnesota, Minneapolis, MN, USA)
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.
Mathematics
Audience: advanced learners
IIT Bombay Virtual Commutative Algebra Seminar
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| Organizers: | Jugal Kishore Verma*, Kriti Goel*, Parangama Sarkar, Shreedevi Masuti |
| Curator: | Saipriya Dubey* |
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