Title: A birational description of the minimal exponent
Abstract: The minimal exponent is an invariant for hypersurface singularities introduced by Saito, which refines the log canonical threshold. He showed that the minimal exponent can be used to detect rational singularities. More recently, many more properties of the minimal exponent have been established using Hodge-theoretic methods and it was found that the minimal exponent controls the complexity of the Du Bois complex. In this talk, I will introduce a birational description of the minimal exponent, based on joint work with Mircea Mustațǎ.
Yuchen Liu
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