MATH Seminar: “Monotonicity of the Hilbert Functions of some monomial curves”, Nil Şahin, 3:40PM December 1 (EN)

You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.

Speaker: Nil Şahin (Bilkent)
“Monotonicity of the Hilbert Functions of some monomial curves”

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
$I_S$ 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 “Hilbert 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

Date: 1 December 2023, Friday
Time: 15:40 (GMT+3)
Place: Zoom

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