Seminar of Algebra

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Regularity of logarithmic modules and Solomon-Terao polynomials of hyperplane arrangements

Speaker:
Takuro Abe (Rikkyo University)
Email:
abetaku@rikkyo.ac.jp
Location:
Departamento de Álgebra
Date:
Tue, 27 feb 2024 10:00
Professor of Mathematics. My interests are hyperplane arrangements, logarithmic vector fields, free arrangements, Weyl groups and invariant theory and Hessenberg varieties.

Recently, the Castelnouvo-Mumford regularity of the logarithmic derivation modules and differential forms of hyperplane arrangements have been studied by Schenck, Derksen-Sidman, Morihiko Saito, DiPasquale and Bath by either approximation theory. We give another proof of Bath's result. Combining it with the previous work, we show some properties of the Solomon-Terao polynomial of hyperplane arrangements, which is expected to be related to (toric) topology and D-module theory.