You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n
Speaker: Nil \u015eahin (Bilkent)
\n\u201cMonotonicity of the Hilbert Functions of some monomial curves\u201d<\/p>\n
Abstract: Let $S$ be a 4-generated pseudo-symmetric semigroup generated by the positive integers ${n_1, n_2, n_3, n_4}$ where $gcd(n_1, n_2, n_3, n_4) = 1$. $k$ being a field, let $k[S]$ be the corresponding semigroup ring and
\n$I_S$ be the defining ideal of $S$. $f_*$ being the homogeneous summand of $f$, tangent cone of $S$ is $k[S]\/{I_S}_*$ where ${I_S}_* = f_*|f in I_S >$. We will show that the \u201cHilbert function of the local ring (which is isomorphic to the tangent cone) for a 4 generated pseudo-symmetric numerical semigroup $$ is always non-decreasing when $n_1<\/p>\n
Date: 1 December 2023, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Nil \u015eahin (Bilkent) \u201cMonotonicity of the Hilbert Functions of some monomial curves\u201d Abstract: Let $S$ be a 4-generated pseudo-symmetric semigroup generated by the positive integers ${n_1, n_2, n_3, n_4}$ where $gcd(n_1, n_2, n_3, n_4) = 1$. $k$ being a [\u2026] <\/p>\n