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Explore the fundamental concepts of simplicial complexes and their face rings, also known as Stanley-Reisner rings, in this comprehensive lecture. Delve into the intricacies of stars and links within simplicial complexes, examining their relationship to specific faces. Gain insights into how these geometric structures correspond to algebraic properties at the level of face rings. Learn from Vasiliki Petrotou's expertise as she guides you through this advanced mathematical topic, providing a solid foundation for further study in algebraic topology and combinatorial commutative algebra.
