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X-WR-CALDESC:Events for Center for Complex Geometry
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TZID:Asia/Seoul
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DTSTART;TZID=Asia/Seoul:20211104T110000
DTEND;TZID=Asia/Seoul:20211104T120000
DTSTAMP:20260615T135814
CREATED:20211014T053459Z
LAST-MODIFIED:20211014T053459Z
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SUMMARY:Jie Liu\, Bigness of Tangent Bundles of Fano Manifolds with Zero Dimensional VMRT
DESCRIPTION:     Speaker\n\n\nJie Liu\nInstitute of Mathematics\, AMSS\, CAS\n\n\n\n\n\n\nIt is expected that the bigness of tangent bundle is a quite restrictive property for Fano manifolds\, especially for those of Picard number one. In this talk\, I will present our recent first attempt to tackle this problem. More precise\, we will consider Fano manifolds of Picard number one and having zero-dimensional VMRT\, and it turns out that in this case only the quintic del Pezzo threefold has big tangent bundle. This is based on my recent joint work with Andreas Höring.
URL:https://ccg.ibs.re.kr/event/2021-11-04/
LOCATION:TBA
CATEGORIES:Complex Geometry Seminar
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DTSTART;TZID=Asia/Seoul:20211111T160000
DTEND;TZID=Asia/Seoul:20211111T170000
DTSTAMP:20260615T135814
CREATED:20211111T070000Z
LAST-MODIFIED:20211103T124854Z
UID:816-1636646400-1636650000@ccg.ibs.re.kr
SUMMARY:Jihun Yum\, Limits of Bergman kernels on a Tower of Coverings of Compact Kähler Manifolds
DESCRIPTION:     Speaker\n\n\nJihun Yum\nIBS\, Center for Complex Geometry\n\n\n\n\n\n\nThe Bergman kernel BX\, which is by the definition the reproducing kernel of the space of L2 holomorphic n-forms on a n-dimensional complex manifold X\, is one of the important objects in complex geometry. In this talk\, we observe the asymptotics of the Bergman kernels\, as well as the Bergman metric\, on a tower of coverings. More precisely\, we show that\, for a tower of finite Galois coverings {ϕj : Xj → X} of compact Kähler manifold X converging to an infinite Galois covering ϕ : X~ → X\, the sequence of push-forward Bergman kernels ϕj*BXj locally uniformly converges to ϕ*BX~. Also\, we show that if the canonical line bundle KX~ of X~ is very ample\, then the canonical line bundle KXj of Xj is also very ample for sufficiently large j. This is a joint work with S. Yoo in IBS-CCG.
URL:https://ccg.ibs.re.kr/event/2021-11-11/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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DTSTART;TZID=Asia/Seoul:20211116T093000
DTEND;TZID=Asia/Seoul:20211116T103000
DTSTAMP:20260615T135814
CREATED:20211116T003000Z
LAST-MODIFIED:20211025T012856Z
UID:669-1637055000-1637058600@ccg.ibs.re.kr
SUMMARY:Giancarlo Urzúa\, Wormholes: MMP\, Topology\, Continued Fractions
DESCRIPTION:     Speaker\n\n\nGiancarlo Urzúa\nPontificia Universidad Catolica de Chile\n\n\n\n\n\n\nWe defined wormholes in https://arxiv.org/abs/2102.02177 (joint with Nicolás Vilches). Conjecturally it is a way to non-continuous travel in the KSBA compactification of the moduli space of surfaces of general type. It depends on a particular MMP. In that paper\, we verified the conjecture in several cases\, but many remain open. Beyond the certainty of the conjecture\, it would be interesting to know about changes in the topology or differential structure after traveling through a wormhole. In this talk\, I will exemplify what we know\, and I will state open questions\, which also include a mysterious combinatorial invariant delta that remains constant in this journey and seems to be part of some particular sequence of integers.
URL:https://ccg.ibs.re.kr/event/2021-11-16/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
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DTSTART;TZID=Asia/Seoul:20211123T110000
DTEND;TZID=Asia/Seoul:20211123T120000
DTSTAMP:20260615T135814
CREATED:20211123T020000Z
LAST-MODIFIED:20211115T012536Z
UID:671-1637665200-1637668800@ccg.ibs.re.kr
SUMMARY:Kyoung-Seog Lee\, Cox Rings and Geometry of Some Surfaces of General Type with pg=q=0
DESCRIPTION:     Speaker\n\n\nKyoung-Seog Lee\nUniversity of Miami\n\n\n\n\n\n\nCox ring is an important tool in modern algebraic geometry and several other branches of mathematics. In the first part of this talk\, I will briefly review basic theory of Cox ring and explain how it connects birational geometry and geometric invariant theory. Then I will discuss how we can use Cox rings to study geometry of certain algebraic surfaces of general type with pg=q=0. The second part of this talk is based on several joint works (some in progress) with JongHae Keum and Davide Frapporti.
URL:https://ccg.ibs.re.kr/event/2021-11-23/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
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