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SUMMARY:Jingjun Han (Johns Hopkins University)
DTSTART:20201229T150000Z
DTEND:20201229T160000Z
DTSTAMP:20260423T021356Z
UID:ZAG/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/81/">The
  ACC for local volumes and boundedness of singularities</a>\nby Jingjun Ha
 n (Johns Hopkins University) as part of ZAG (Zoom Algebraic Geometry) semi
 nar\n\n\nAbstract\nKawamata log terminal (klt) singularities form an impor
 tant class of singularities due to its fundamental roles in MMP\, K\\”ah
 ler-Einstein geometry\, and K-stability. Recently\, Chi Li introduced a ne
 w invariant called the local volume of a klt singularity which encodes lot
 s of interesting geometric and topological information. A folklore conject
 ure predicts that local volumes satisfy the ascending chain condition (ACC
 ) when the coefficients of the boundary divisors belong to a DCC set. In t
 his talk\, we will show the ACC conjecture for local volumes holds when th
 e ambient variety is fixed. We will also explore the relation between log 
 canonical thresholds\, local volumes\, and delta-plt blow-ups. This is bas
 ed on ongoing joint work with Yuchen Liu and Lu Qi.\n
LOCATION:https://researchseminars.org/talk/ZAG/81/
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