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X-WR-CALNAME:Center for Complex Geometry
X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
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BEGIN:VTIMEZONE
TZID:Asia/Seoul
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20210101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220405T110000
DTEND;TZID=Asia/Seoul:20220405T120000
DTSTAMP:20260614T220745
CREATED:20220405T020000Z
LAST-MODIFIED:20220321T121707Z
UID:1092-1649156400-1649160000@ccg.ibs.re.kr
SUMMARY:Radu Laza\, Deformations of Singular Fano and Calabi-Yau Varieties
DESCRIPTION:     Speaker\n\n\nRadu Laza\nStony Brook University\n\n\n\n\n\nIt is well known that Calabi-Yau manifolds have good deformation theory\, which is controlled by Hodge theory. By work of Friedman\, Namikawa\, M. Gross\, Kawamata\, Steenbrink and others\, some of these results have been extended to Calabi-Yau threefolds with canonical singularities. In this talk\, I will report on further extensions in two directions: in dimension 3\, we sharpen and clarify some of the existing results\, and\, secondly\, we obtain some higher dimensional analogues. I will also briefly explain the related case of Fano varieties\, where stronger results hold. One surprising aspect of our study is the role played by higher du Bois and higher rational singularities\, notions that were recently introduced by Mustata\, Popa\, Saito and their collaborators. This is joint work with Robert Friedman.
URL:https://ccg.ibs.re.kr/event/2022-04-05/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220412T110000
DTEND;TZID=Asia/Seoul:20220412T120000
DTSTAMP:20260614T220745
CREATED:20220412T020000Z
LAST-MODIFIED:20220330T030149Z
UID:1041-1649761200-1649764800@ccg.ibs.re.kr
SUMMARY:Keiji Oguiso\, On Kawaguchi-Silverman Conjecture for Birational Automorphisms of Irregular Threefolds
DESCRIPTION:     Speaker\n\n\nKeiji Oguiso\nUniv. of Tokyo\n\n\n\n\n\n\nThis is a joint work in progress with Professors Jungkai-Alfred Chen and Hsueh-Yung Lin. \nWe study the main open parts of Kawaguchi-Silverman Conjecture (KSC)\, asserting that for a birational self-map f of a smooth projective variety X defined over K\, the arithmetic degree αf(x) exists and coincides with the first dynamical degree δf for any K-point x of X with a well-defined Zariski dense f-orbit. Here K is an algebraic closure of the field of rational numbers. To make KSC meaningful\, it is also important to study existence of K-point with Zariski dense f-orbit. \nIn this talk\, after a brief introduction of KSC with known results and some difficulties for non-morphism case\, I would like to explain our new progress on KSC and Zariski dense orbit problem especially for irregular threefolds. Our approach is geometric while problems are of arithmetic nature.
URL:https://ccg.ibs.re.kr/event/2022-04-12/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220413T160000
DTEND;TZID=Asia/Seoul:20220413T170000
DTSTAMP:20260614T220745
CREATED:20220413T070000Z
LAST-MODIFIED:20220329T051144Z
UID:1152-1649865600-1649869200@ccg.ibs.re.kr
SUMMARY:Slawomir Dinew\, Extension Through Small Sets in Complex Analysis
DESCRIPTION:     Speaker\n\n\nSlawomir Dinew\nJagiellonian University\, Krakow\n\n\n\n\n\nExtension problems through a small singular set appear throughout complex\nanalysis. After a short reminder of some classical results we shall focus\non problems of extending (pluri)subharmonic functions. In particular we\nshall focus on new techniques coming from PDEs that lead to resolutions of\nseveral questions in the field. The talk is partially based on joint works\nwith Zywomir Dinew.
URL:https://ccg.ibs.re.kr/event/2022-04-13/
LOCATION:on-line
CATEGORIES:Several Complex Variables Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220420T160000
DTEND;TZID=Asia/Seoul:20220420T170000
DTSTAMP:20260614T220745
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220427T160000
DTEND;TZID=Asia/Seoul:20220427T170000
DTSTAMP:20260614T220745
CREATED:20220427T070000Z
LAST-MODIFIED:20220314T061453Z
UID:1154-1651075200-1651078800@ccg.ibs.re.kr
SUMMARY:Ngoc-Son Duong\, Proper Holomorphic Maps from the Complex 2-ball into the 3-dimensional Classical Domain of Type IV
DESCRIPTION:     Speaker\n\n\nNgoc-Son Duong\nUniversity of Vienna\n\n\n\n\n\nIn this talk\, we will discuss a complete classification of proper holomorphic maps from the unit ball in complex two dimensional space into the Cartan’s classical domain of type IV in complex three\ndimensional space that extend smoothly to some boundary point. This classification (which is a consequence of a classification of CR maps from the 3-sphere into the tube over the future light cone) consists of 4 algebraic maps. Among them\, two previously known maps are isometric with respect to the canonical Bergman metrics and two other maps give counterexamples to a recent conjecture of Xiao-Yuan for the case of maps from the complex 2-ball. This is a joint work with Michael Reiter.
URL:https://ccg.ibs.re.kr/event/2022-04-27/
LOCATION:on-line
CATEGORIES:Several Complex Variables Seminar
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