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SUMMARY:Özhan Genç (Jagiellonian University)
DTSTART:20201028T150000Z
DTEND:20201028T163000Z
DTSTAMP:20260422T172305Z
UID:UCGEN/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/12/">U
 lrich Trichotomy on del Pezzo Surfaces</a>\nby Özhan Genç (Jagiellonian 
 University) as part of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\n
 \nAbstract\nA vector bundle $\\mathcal{E}$ on a projective variety $X$ in 
 $\\mathbb{P}^N$ is Ulrich if $\\rm{H}^∗(X\,E(−k))$ vanishes for $1 ≤
 k ≤\\dim(X)$. It has been conjectured by Eisenbud and Schreyer that ever
 y projective variety carries an Ulrich bundle. Even though this conjecture
  has not been proved or disproved\, another interesting question is worth 
 considering: classify projective varieties as Ulrich finite\, tame or wild
  type with respect to families of Ulrich bundles that they support. In thi
 s talk\, we will show that this trichotomy is exhaustive for certain del P
 ezzo surfaces with any given polarization. This talk is based on a joint w
 ork with Emre Coşkun.\n
LOCATION:https://researchseminars.org/talk/UCGEN/12/
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