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SUMMARY:Özhan Genç (Jagiellonian)
DTSTART:20221216T124000Z
DTEND:20221216T134000Z
DTSTAMP:20260423T021245Z
UID:OBAGS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/18/">F
 inite Length Koszul Modules and Vector Bundles</a>\nby Özhan Genç (Jagie
 llonian) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract
 \nLet $V$ be a complex vector space of dimension $n\\ge 2$  and $K$ be a s
 ubset of $\\bigwedge^2V$ of dimension $m$. Denote the Koszul module by $W(
 V\,K)$ and its corresponding resonance variety by $\\mathcal R(V\,K)$. Pap
 adima and Suciu showed that there exists a uniform bound $q(n\,m)$ such th
 at the graded component of the Koszul module $W_q(V\,K)=0$ for all $q\\ge 
 q(n\,m)$ and for all $(V\,K)$ satisfying $\\mathcal R(V\,K)=\\{0\\}$. In t
 his 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 c
 onsider a class of Koszul modules associated to vector bundles.\n
LOCATION:https://researchseminars.org/talk/OBAGS/18/
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