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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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TZID:Asia/Seoul
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DTSTART:20200101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210512T160000
DTEND;TZID=Asia/Seoul:20210512T170000
DTSTAMP:20260616T110500
CREATED:20210506T041021Z
LAST-MODIFIED:20210506T041021Z
UID:492-1620835200-1620838800@ccg.ibs.re.kr
SUMMARY:Young-jun Choi\, Existence of a Complete Holomorphic Vector Field via the Kähler-Einstein Metric
DESCRIPTION:     Speaker\n\n\nYoung-jun Choi\nPusan National University\n\n\n\n\n\n\nA fundamental problem in Several Complex Variables is to classify bounded pseudoconvex domains in the complex Euclidean space with a noncompact automorphism group\, especially with a compact quotient. In the results of Wong-Rosay and Frankel\, they make use of the “Scaling method” for obtaining an 1-parameter family of automorphisms\, which generates a holomorphic vector field. \nIn this talk\, we discuss the existence of a nowhere vanishing complete holomorphic vector field on a strongly pseudoconvex manifold admitting a negatively curved Kähler-Einstein metric and discrete sequence of automorphisms by introducing the scaling method on potentials of the Kähler-Einstein metric. \nThis is a joint work with Kang-Hyurk Lee in Gyenongsang National University.
URL:https://ccg.ibs.re.kr/event/2021-05-12/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210513T110000
DTEND;TZID=Asia/Seoul:20210513T120000
DTSTAMP:20260616T110500
CREATED:20201120T045532Z
LAST-MODIFIED:20210430T041419Z
UID:216-1620903600-1620907200@ccg.ibs.re.kr
SUMMARY:Jeong-Seop Kim\, Stability of Symmetric Powers of Vector Bundles on a Curve
DESCRIPTION:     Speaker\n\n\nJeong-Seop Kim\nKAIST\n\n\n\n\n\nFor a stable vector bundle E on a smooth projective curve\, it is known that the symmetric powers Sk E are semi-stable and are stable for all k > 0 in sufficiently general. Moreover\, if E has rank 2\, then Sk E is destabilized by a line subbundle if and only if the ruled surface PC(E) admits a k-section of zero self-intersection. In this talk\, concentrating on the case of rank 2\, we will find answers to the questions of which E has strictly semi-stable Sk E\, and how many such E there are. Also\, we will introduce relations between such E and the orthogonal bundles when k = 2\, and Nori’s finite bundles when k ≥ 3.
URL:https://ccg.ibs.re.kr/event/2020-12-17/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210520T110000
DTEND;TZID=Asia/Seoul:20210520T120000
DTSTAMP:20260616T110500
CREATED:20210430T040140Z
LAST-MODIFIED:20210430T042439Z
UID:437-1621508400-1621512000@ccg.ibs.re.kr
SUMMARY:Lucas Kaufmann\, Introduction to Dynamics in Several Complex Variables
DESCRIPTION:     Speaker\n\n\nLucas Kaufmann\nIBS\, Center for Complex Geometry\n\n\n\n\n\n\nThe field of complex dynamics deals with the study of the iteration of a map from a complex manifold to itself. The one dimensional theory is more than one-hundred years old and is now very well developed. \nDue to the fundamental differences between complex analysis in one and higher dimensions\, the study of higher dimensional dynamical systems is much more recent and is still an active research domain\, with interesting connections to complex geometry\, algebraic geometry\, number theory\, mathematical physics etc. \nThe aim of this talk is to survey standard results on the dynamics of self-maps in complex manifolds. I will focus on the case of endomorphisms of the complex projective space and use it to illustrate how the tools of pluripotential theory and the theory of currents are crucial in their study. \nIn particular\, I aim to talk about Green currents and measures\, equidistribution theorems and\, if time permits\, relations with the intersection theory of currents.
URL:https://ccg.ibs.re.kr/event/2021-05-20/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210527T110000
DTEND;TZID=Asia/Seoul:20210527T120000
DTSTAMP:20260616T110500
CREATED:20210430T040608Z
LAST-MODIFIED:20210430T042430Z
UID:443-1622113200-1622116800@ccg.ibs.re.kr
SUMMARY:Lucas Kaufmann\, Commuting Pairs of Endomorphisms
DESCRIPTION:     Speaker\n\n\nLucas Kaufmann\nIBS\, Center for Complex Geometry\n\n\n\n\n\n\nThe study of functional equations is at the origin of the early developments of the iteration theory of polynomials and rational functions\, carried out by Fatou\, Julia\, Ritt and others. Among these equations\, the commutation relation f g = g f is particularly interesting. In this talk I will discuss the following problem: can we classify commuting pairs of holomorphic endomorphisms of the complex projective space? \nWe will see that the relation f g = g f gives rise to special symmetries of several dynamical objects attached to these maps\, such as their invariant currents and measures\, their Julia sets and so on. This rigidity allows us to understand the structure of these maps and even give a full description in low dimensions.
URL:https://ccg.ibs.re.kr/event/2021-05-27/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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