| Résume | Abstract: Kustin-Miller unprojection, introduced by M. Reid, is a theory which constructs Gorenstein rings of more complicated form starting from simpler ones. This theory has found many applications in algebraic geometry and algebraic combinatorics. In this talk, we introduce a variation of the construction which we call degenerate Kustin-Miller unprojection. As an application we will explore how degenerate Kustin-Miller unprojection is related to the degree normalization of the generic Artinian reduction of the Stanley-Reisner ring of simplicial spheres. The talk is based on a joint work with Karim Adiprasito and Stavros Papadakis.
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