[Turkmath:5897] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-520

[Ali Sinan Sertöz]

*Welcome to the 2022 Fall talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
*
/since 2000/
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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=20221216T1540&p1=19>
*=================================================================*

**
/David Barnes/
**Speaker:Özhan Genç
****Affiliation: /Jagiellonian/****
Title:Finite Length Koszul Modules and Vector Bundles


**
**Abstract:**
Let V​​ be a complex vector space of dimension n≥ 2​​  and K​​ be a 
subset of ⋀^2 V of dimension m​​. Denote the Koszul module by W(V,K)​​ 
and its corresponding resonance variety by ℛ(V,K)​​. Papadima and Suciu 
showed that there exists a uniform bound q(n,m)​​ such that the graded 
component of the Koszul module W_q (V,K)=0​​ for all q≥ q(n,m)​​ and for 
all (V,K)​​ satisfying ℛ(V,K)={0}​​. In this talk, we will determine 
this bound q(n,m)​​ precisely, and find an upper bound for the Hilbert 
series of these Koszul modules. Then we will consider a class of Koszul 
modules associated to vector bundles. This is a joint work with 
B.Karadeniz, H. Mourtada and C.Plenat.

*Date:16 December 2022*, *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

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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  
Web:sertoz.bilkent.edu.tr  <http://sertoz.bilkent.edu.tr>  
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