The Hessian matrices of generating polynomials associated to graphs and matroids
代数学セミナー
開催期間
2023.1.27(金)
16:00 ~ 17:00
16:00 ~ 17:00
場所
C-513 中講義室および Zoomミーティング
講演者
矢澤 明喜子 (九州大学)
概要
We consider the generating polynomials for matroids and graded Artinian Gorenstein algebras defined by the polynomials. We study the strong Lefschetz property of the algebras and strictly log-concavity of the polynomials. We show their properties by using the Hessian matrices of the polynomials. This work is joint work with Satoshi Murai and Takahiro Nagaoka.