[Turkmath:6283] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-538

[Ali Sinan Sertöz]

*Welcome to the 2023 Fall talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
*
/since 2000/
**=================================================================**

This week the ODTU-Bilkent Algebraic Geometry Seminar 
<http://www.bilkent.edu.tr/~sertoz/agseminar.htm>  is *online*

/This talk will begin at _*15:40*__ (GMT+3)_/
Please check your time difference between Ankara and your city here 
<https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20231201T1540&p1=19&ah=1>
*=================================================================*
*
*/Johannes Vermeer (1632-1675)
The lacemaker (1669)/
**Speaker: Nil Şahin 
<https://w3.ie.bilkent.edu.tr/tr/hakkimizda/akademik-kadro/nil-sahin/>
****Affiliation: /Bilkent/****
Title: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 $<n_1,n_2,n_3,n_4>$ is always 
non-decreasing when $n_1<n_2<n_3<n_4$" by an explicit Hilbert function 
computation.

**

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

    **One day before the seminar, an announcement with the Zoom meeting
    link will be sent to those who registered with Sertöz.
    **

    **If you have registered before for one of the previous talks, there
    is no need to register again; you will automatically receive a link
    for this talk too.
    **

    **If you have not registered before, please contact him at
    sertoz at bilkent.edu.tr
    <mailto:sertoz at bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request>.**


You are most cordially invited to attend.

Ali Sinan Sertöz
/(PS: To unsubscribe from this list please send me a note.)/
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Ali Sinan Sertöz
Bilkent University, Department of Mathematics, 06800 Ankara, Türkiye
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail:sertoz at bilkent.edu.tr  <mailto:sertoz at bilkent.edu.tr>  
Web:sertoz.bilkent.edu.tr  <http://sertoz.bilkent.edu.tr>  
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