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PRODID:-//Center for Complex Geometry - ECPv6.15.20//NONSGML v1.0//EN
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20220420T160000
DTEND;TZID=Asia/Seoul:20220420T170000
DTSTAMP:20260421T071958
CREATED:20220420T070000Z
LAST-MODIFIED:20220408T064259Z
UID:1240-1650470400-1650474000@ccg.ibs.re.kr
SUMMARY:Tsz On Mario Chan\, Analytic Adjoint Ideal Sheaves via Residue Functions
DESCRIPTION:     Speaker\n\n\nTsz On Mario Chan\nPusan National University\n\n\n\n\n\nIn this talk\, we introduce a modification of the analytic adjoint ideal sheaves. The original analytic adjoint ideal sheaves were studied by Guenancia and Dano Kim. The modified version makes use of the residue functions with respect to log-canonical (lc) measures\, giving a sequence of adjoint ideal sheaves which provide a scheme-theoretic description of the lc centres of a given lc pair (X\, S) (where X is a complex manifold) defined by multiplier ideal sheaves of quasi-psh functions with suitable regularity assumptions. We also discuss how the use of the residue functions helps to yield a local L2 extension result without using the Ohsawa-Takegoshi extension theorem\, and to provide residue L2 norms on unions of lc centres which are invariant under any modifications of the ambient space X. Since some notions of singularities in birational geometry (namely\, klt and lc) can be described via integrability conditions\, the residue norms can be useful in the study of the inversion of adjunction.
URL:https://ccg.ibs.re.kr/event/2022-04-20/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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