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PRODID:-//Center for Complex Geometry - ECPv5.8.1//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Center for Complex Geometry
X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
BEGIN:VTIMEZONE
TZID:Asia/Seoul
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20200101T000000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210708T140000
DTEND;TZID=Asia/Seoul:20210708T150000
DTSTAMP:20210729T103758
CREATED:20210622T042954Z
LAST-MODIFIED:20210628T125100Z
UID:608-1625752800-1625756400@ccg.ibs.re.kr
SUMMARY:Yonghwa Cho\, Cohomology of Divisors on Burniat Surfaces
DESCRIPTION: Speaker\n\n\nYonghwa Cho\nKIAS\n\n\n\n\n\n\nA (primary) Burniat surface is a complex surface of general type that can be obtained as a bidouble cover of del Pezzo surface with K2 = 6. The Picard group is an abelian group of rank 4 with torsion part isomorphic to (Z/2)6. Alexeev studied the divisors on Burniat surfaces\, and observed that the irreducible components of ramification divisors span the semigroup of effective divisors. Based on Alexeev’s result\, I will describe the method for computing cohomology of arbitrary divisors on Burniat surfaces. If time permits\, (non-)existence question about Ulrich bundles will be discussed as an application.
URL:https://ccg.ibs.re.kr/event/2021-07-08-1400/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210708T110000
DTEND;TZID=Asia/Seoul:20210708T120000
DTSTAMP:20210729T103758
CREATED:20210622T042608Z
LAST-MODIFIED:20210622T042608Z
UID:605-1625742000-1625745600@ccg.ibs.re.kr
SUMMARY:Sukmoon Huh\, Logarithmic Sheaves on Projective Surfaces
DESCRIPTION: Speaker\n\n\nSukmoon Huh\nSungkyunkwan University\n\n\n\n\n\n\nA logarithmic sheaf is a sheaf of differential one-forms on a variety with logarithmic poles along a given divisor. One of the main problems on this object is to see whether Torelli property holds\, i.e. whether two different divisors define two non-isomorphic logarithmic sheaves. In this talk\, after reviewing some basic material\, we are going to introduce two new approaches to obtain Torelli property. This is a joint work in progress with S. Marchesi\, J. Pons-Llopis and J. Valles.
URL:https://ccg.ibs.re.kr/event/2021-07-08/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210701T110000
DTEND;TZID=Asia/Seoul:20210701T120000
DTSTAMP:20210729T103758
CREATED:20210622T042251Z
LAST-MODIFIED:20210623T042117Z
UID:601-1625137200-1625140800@ccg.ibs.re.kr
SUMMARY:Yong Hu\, Noether-Severi Inequality and Equality for Irregular Threefolds of General Type
DESCRIPTION: Speaker\n\n\nYong Hu\nKIAS\n\n\n\n\n\n\nFor complex smooth irregular 3-folds of general type\, I will introduce the optimal Noether-Severi inequality. This answers an open question of Zhi Jiang in dimension three. Moreover\, I will also completely describe the canonical models of irregular 3-folds attaining the Noether-Severi equality. This is a joint work with Tong Zhang.
URL:https://ccg.ibs.re.kr/event/2021-07-01/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210617T110000
DTEND;TZID=Asia/Seoul:20210617T120000
DTSTAMP:20210729T103758
CREATED:20210520T034412Z
LAST-MODIFIED:20210615T082915Z
UID:504-1623927600-1623931200@ccg.ibs.re.kr
SUMMARY:Baohua Fu\, Normalized Tangent Bundle\, Pseudoeffective Cone and Varieties with Small Codegree
DESCRIPTION: Speaker\n\n\nBaohua Fu\nChinese Academy of Science\n\n\n\n\n\n\nWe propose a conjectural list of Fano manifolds of Picard number one whose normalized tangent bundle is pseudoeffective and we prove it in various situations by relating it to the complete divisibility conjecture of Russo and Zak on varieties with small codegrees. The pseudoeffective cone of the projectivized tangent bundle of a rational homogeneous space of Picard number one is explicitly determined by studying the total dual VMRT and the geometry of stratified Mukai flops. This is a joint work with Jie LIU.
URL:https://ccg.ibs.re.kr/event/2021-06-17/
LOCATION:on-line
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210603T110000
DTEND;TZID=Asia/Seoul:20210603T120000
DTSTAMP:20210729T103758
CREATED:20210518T033401Z
LAST-MODIFIED:20210518T033401Z
UID:496-1622718000-1622721600@ccg.ibs.re.kr
SUMMARY:Joonyeong Won\, K-stability\, Kähler-Einstein Metric on Fano Varieties and Sasaki-Einstein Metric on 5-dimensional Smale Manifolds
DESCRIPTION: Speaker\n\n\nJoonyeong Won\nKIAS\n\n\n\n\n\n\nWe discuss on recent progresses of the existence problem of Kähler-Einstein metric on Fano varieties by K-stability of them and also the existence problem of Sasaki-Einstein metric on 5-dimensional Smale manifolds via K-stability of weighted hypersurface log del Pezzo surfaces.
URL:https://ccg.ibs.re.kr/event/2021-06-03/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210527T110000
DTEND;TZID=Asia/Seoul:20210527T120000
DTSTAMP:20210729T103758
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210520T110000
DTEND;TZID=Asia/Seoul:20210520T120000
DTSTAMP:20210729T103758
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210513T110000
DTEND;TZID=Asia/Seoul:20210513T120000
DTSTAMP:20210729T103758
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210422T110000
DTEND;TZID=Asia/Seoul:20210422T120000
DTSTAMP:20210729T103758
CREATED:20210312T041646Z
LAST-MODIFIED:20210430T041501Z
UID:341-1619089200-1619092800@ccg.ibs.re.kr
SUMMARY:Hosung Kim\, The Space of Rational Curves on a General Hypersurface of Projective Space
DESCRIPTION: Speaker\n\n\nHosung Kim\nIBS\, Center for Complex Geometry\n\n\n\n\n\nIn 1979\, the work of Mori had brought out the importance of the study of rational curves in higher-dimensional geometry. In 1990s\, applying Mori’s bend-and-break method\, Campana and Kollar-Miyaoka-Mori proved that any Fano manifold is rationally connected. Since then the family of raional curves on Fano maniflolds has been considerably studied especially about the dimension and irreducibility. The expected dimension of the family of rational curves of degree e in a hypersurface of degree d in Pn is e(n-d+1)+n-4\, and it has been conjectured that this family is irreducible and has dimension of the expected dimension if d ≤ n-1 and n > 3. This conjecture has been proven for d ≤ n-2 and e arbitrary by Riedl and Yang in 2019 based on bend-and-break. For d = n-1\, some results for low e were obtained by Tseng in 2017. In this seminar I am going to introduce a technique based on degenerating the ambient projective space to a 2-component fan and simultaneously degenerate a general hypersurface of a projective space to a subscheme of the fan. Using this method\, Ziv Ran reduced the original problem to that on the space of rational curves in Pn which are some secant to a certain (d\,d-1) complete intersection\, and proved the cases when e < d ≤ n-1 and n > 4.
URL:https://ccg.ibs.re.kr/event/2021-04-22/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210415T110000
DTEND;TZID=Asia/Seoul:20210415T120000
DTSTAMP:20210729T103758
CREATED:20210312T042356Z
LAST-MODIFIED:20210430T041530Z
UID:348-1618484400-1618488000@ccg.ibs.re.kr
SUMMARY:Seungjae Lee\, L2 Extension of Holomorphic Jets on Complex Hyperbolic Forms
DESCRIPTION: Speaker\n\n\nSeungjae Lee\nIBS\, Center for Complex Geometry\n\n\n\n\n\nAs the continuation of the previous talk\, I discuss an L2 extension problem of holomorphic jets on compact complex hyperbolic forms. Let Γ be a cocompact torsion-free lattice in the automorphism group Aut(Bn) and Ω be a quotient Bn × Bn given by diagonal action of Γ. In the setting\, Ω becomes a ball-fiber bundle over Σ = Bn / Γ. Since we can identify symmetric differentials on Σ and jets of holomorphic function on D which is the maximal compact analytic variety on Ω\, it is natural to expect that holomorphic function on Ω can be derived by symmetric differentials. In this context\, M. Adachi (2017) extends holomorphic jets on D to weighted L2 holomorphic functions on Σ for the n=1 case. In 2020\, A. Seo and S. Lee generalized his result by developing a Hodge type identity on SmTΣ*. In this talk\, I will explain recent progress and if time is permitted\, I sketch the proof of our result. This is joint work with A. Seo.
URL:https://ccg.ibs.re.kr/event/2021-04-15/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210408T110000
DTEND;TZID=Asia/Seoul:20210408T120000
DTSTAMP:20210729T103758
CREATED:20210226T055225Z
LAST-MODIFIED:20210430T041740Z
UID:312-1617879600-1617883200@ccg.ibs.re.kr
SUMMARY:Seungjae Lee\, Symmetric Differentials on Complex Hyperbolic Forms
DESCRIPTION: Speaker\n\n\nSeungjae Lee\nIBS\, Center for Complex Geometry\n\n\n\n\n\nLet Γ be a cocompact torsion-free lattice in the automorphism group of complex unit ball Bn\, Aut(Bn). In this talk\, we discuss the existence of symmetric differentials on the compact ball quotient Σ = Bn / Γ. Since Σ has a Kähler metric induced by the Bergman metric on the complex unit ball Bn\, it has symmetric differentials on SmTΣ* if m is sufficiently large. Unfortunately\, finding the smallest degree m which guarantees a symmetric differential on SmTΣ* is difficult in even compact ball quotient cases. Instead of this\, I will prove that m ≥ n+2 is a sufficient condition to give a symmetric differential on SmTΣ*. To achieve this goal\, I will explain how to induce symmetric differentials by using a recursive formula for ∂-operators and Poincaré series. This is joint work with A. Seo.
URL:https://ccg.ibs.re.kr/event/2021-04-08/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210401T110000
DTEND;TZID=Asia/Seoul:20210401T120000
DTSTAMP:20210729T103758
CREATED:20210312T041527Z
LAST-MODIFIED:20210430T041721Z
UID:339-1617274800-1617278400@ccg.ibs.re.kr
SUMMARY:Qifeng Li\, Rigidity of Wonderful Group Compactifications under Fano Deformations
DESCRIPTION: Speaker\n\n\nQifeng Li\nIBS\, Center for Complex Geometry\n\n\n\n\n\nFor a complex connected semisimple linear algebraic group G of adjoint type and of rank n\, De Concini and Procesi constructed its wonderful compactification X\, which is a smooth Fano variety of Picard number n enjoying many interesting properties. In this talk\, we will show that the wonderful compactification X is rigid under Fano deformations. Namely\, for any family of smooth Fano varieties over a connected base\, if one fiber is isomorphic to X\, then so are all other fibers. This answers a question raised by Bien and Brion in their work on the local rigidity of wonderful varieties.
URL:https://ccg.ibs.re.kr/event/2021-04-01/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210325T110000
DTEND;TZID=Asia/Seoul:20210325T120000
DTSTAMP:20210729T103758
CREATED:20210312T041405Z
LAST-MODIFIED:20210430T041707Z
UID:337-1616670000-1616673600@ccg.ibs.re.kr
SUMMARY:Sungmin Yoo\, Bergman Metrics and Kähler-Einstein Metrics on Projective Manifolds
DESCRIPTION: Speaker\n\n\nSungmin Yoo\nIBS\, Center for Complex Geometry\n\n\n\n\n\nAfter Yau suggested the problem of approximations of Kähler-Einstein metrics by Bergman type metrics\, various types of Bergman metrics have been developed and studied by Tian\, Donaldson\, Tsuji\, etc. They showed that if a polarized manifold admits a Kähler-Einstein metric\, there exist a sequence of Bergman type metrics which converges to the Kähler-Einstein metric. In this talk\, we will survey their results and discuss some remaining problems in this subject.
URL:https://ccg.ibs.re.kr/event/2021-03-25/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210318T110000
DTEND;TZID=Asia/Seoul:20210318T120000
DTSTAMP:20210729T103758
CREATED:20210226T055012Z
LAST-MODIFIED:20210430T041824Z
UID:310-1616065200-1616068800@ccg.ibs.re.kr
SUMMARY:Sungmin Yoo\, Fiberwise Kähler-Ricci Flows on Families of Strongly Pseudoconvex Domains
DESCRIPTION: Speaker\n\n\nSungmin Yoo\nIBS\, Center for Complex Geometry\n\n\n\n\n\nA study on the positive variation of Kähler-Einstein metrics is first developed by Schumacher. More precisely\, he has proved that the fiberwise Kähler-Einstein metrics on a family of canonically polarized compact Kähler manifolds is positive-definite on the total space. Later\, Berman constructed the fiberwise Kähler-Ricci flow which converges to the fiberwise Kähler-Einstein metrics and showed that the positivity is preserved under this flow. In this talk\, I will explain how to generalize these to a family of bounded strongly pseudoconvex domains\, which is an important examples of non-compact complete Kähler manifolds. This is joint work with Young-Jun Choi.
URL:https://ccg.ibs.re.kr/event/2021-03-18/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210128T110000
DTEND;TZID=Asia/Seoul:20210128T120000
DTSTAMP:20210729T103758
CREATED:20210108T061352Z
LAST-MODIFIED:20210430T041909Z
UID:283-1611831600-1611835200@ccg.ibs.re.kr
SUMMARY:Hyungryul Baik\, Limits of Canonical Metrics in Low-dimensions
DESCRIPTION: Speaker\n\n\nHyungryul Baik\nKAIST\n\n\n\n\n\nFor a tower of finite normal covers of graphs or surfaces\, one can consider a sequence of metrics on the base given by pull-back of canonical metric of the covers. We show that such a sequence has a limit and it depends only on the cover approximated by the tower up to scaling. The case of compact Riemann surface where the tower approximates the universal cover is due to Kazhdan. In this talk\, I will explain why one might be interested in such a problem\, give a brief introduction to the main tool – L2-theory\, and discuss some future directions. This talk is based on a joint work with Farbod Shokrieh and Chenxi Wu.
URL:https://ccg.ibs.re.kr/event/2021-01-28/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210121T110000
DTEND;TZID=Asia/Seoul:20210121T120000
DTSTAMP:20210729T103758
CREATED:20210108T061009Z
LAST-MODIFIED:20210430T041929Z
UID:280-1611226800-1611230400@ccg.ibs.re.kr
SUMMARY:Seung-Jo Jung\, Hodge Ideals and Spectra of Hypersurface Singularities
DESCRIPTION: Speaker\n\n\nSeung-Jo Jung\nJeonbuk National University\n\n\n\n\n\nRecently Mustata-Popa introduced a generalisation of multiplier ideals\, which is called Hodge ideals. This talk introduces the Hodge ideals and explains the relations with other invariants\, e.g. Bernstein-Sato polynomials\, Hodge spectra\, log canonical thresholds\, minimal exponents etc. Mainly this talk concerns the relation between Hodge ideals and Hodge spectra. This talk is based on the joint paper with I-K. Kim\, M. Saito\, and Y. Yoon.
URL:https://ccg.ibs.re.kr/event/2021-01-21/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210114T160000
DTEND;TZID=Asia/Seoul:20210114T170000
DTSTAMP:20210729T103758
CREATED:20201229T040801Z
LAST-MODIFIED:20210430T041948Z
UID:276-1610640000-1610643600@ccg.ibs.re.kr
SUMMARY:Sangbum Yoo\, Spectral Data for Principal Higgs Bundles over a Singular Curve
DESCRIPTION: Speaker\n\n\nSangbum Yoo\nGongju National University of Education\n\n\n\n\n\n\nSpectral data for Higgs bundles over a smooth curve has been studied by several mathematicians. The studies in this direction are originated by N.J.Hitchin. Specially\, it has contributed to the studies on the fibers of the Hitchin map. In this talk\, I will introduce spectral data for Higgs bundles over a smooth curve and over a singular curve\, and then present my ongoing project about spectral data for principal Higgs bundles over a singular curve.
URL:https://ccg.ibs.re.kr/event/2021-01-14/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201210T110000
DTEND;TZID=Asia/Seoul:20201210T120000
DTSTAMP:20210729T103758
CREATED:20201203T100951Z
LAST-MODIFIED:20210430T042026Z
UID:262-1607598000-1607601600@ccg.ibs.re.kr
SUMMARY:Minseong Kwon\, Integrability of G-structures III
DESCRIPTION: Speaker\n\n\nMinseong Kwon\nKAIST\n\n\n\n\n\n\nThis is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the previous two talks\, we discussed the definition of the k-th order structure tensor of a G-structure. In the third talk\, we will discuss how the structure tensors can be characterized in terms of classical invariants\, namely the curvature tensor and the torsion tensor of a given connection. The main reference is the paper ‘The Integrability Problem for G-structures’ (1965) written by Victor Guillemin.
URL:https://ccg.ibs.re.kr/event/2020-12-10/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201126T110000
DTEND;TZID=Asia/Seoul:20201126T120000
DTSTAMP:20210729T103758
CREATED:20201119T170328Z
LAST-MODIFIED:20210430T042126Z
UID:190-1606388400-1606392000@ccg.ibs.re.kr
SUMMARY:Minseong Kwon\, Integrability of G-structures II
DESCRIPTION: Speaker\n\n\nMinseong Kwon\nKAIST\n\n\n\n\n\nThis is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the first talk\, I discussed the definition of an integrable G-structure and introduced the existence theorem for the structure tensor. In this talk\, I will construct the structure tensor of a G-structure\, and then prove that the structure tensor is indeed an obstruction class of the integrability which is lying in the Spencer cohomology group. The main reference is the paper ‘The Integrability Problem for G-structures’ (1965) written by Victor Guillemin.
URL:https://ccg.ibs.re.kr/event/2020-11-26/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201119T110000
DTEND;TZID=Asia/Seoul:20201119T120000
DTSTAMP:20210729T103758
CREATED:20201119T170111Z
LAST-MODIFIED:20210430T042143Z
UID:187-1605783600-1605787200@ccg.ibs.re.kr
SUMMARY:Kyeong-Dong Park\, Kähler-Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One
DESCRIPTION: Speaker\n\n\nKyeong-Dong Park\nIBS-CGP\n\n\n\n\n\nSymmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces and they are interesting examples of spherical varieties. I will prove that all smooth Fano symmetric varieties with Picard number one admit Kähler-Einstein metrics using a combinatorial criterion for K-stability of Fano spherical varieties obtained by Delcroix. To this end\, I will present their algebraic moment polytopes and the barycenter of each moment polytope with respect to the Duistermaat-Heckman measure. This talk is based on joint work with Jae-Hyouk Lee and Sungmin Yoo.
URL:https://ccg.ibs.re.kr/event/2020-11-19/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201110T110000
DTEND;TZID=Asia/Seoul:20201110T120000
DTSTAMP:20210729T103758
CREATED:20201119T165750Z
LAST-MODIFIED:20210430T042257Z
UID:177-1605006000-1605009600@ccg.ibs.re.kr
SUMMARY:Eunjeong Lee\, Geometry of Flag Varieties and Related Combinatorics
DESCRIPTION: Speaker\n\n\nEnjeong Lee\nIBS-CGP\n\n\n\n\n\nFor a semisimple algebraic group G and a Borel subgroup B\, the homogeneous space G/B\, called the flag variety\, is a smooth projective variety which has a fruitful connection with G-representations. Indeed\, the set of global sections H0(G/B\, L) is an irreducible G-representation for a very ample line bundle L on G/B. On the other hand\, string polytopes are combinatorial objects which encode the characters of irreducible G-representations. One of the most famous examples of string polytopes is the Gelfand–Cetlin polytope\, and there might exist combinatorially different string polytopes. The string polytopes are related to the flag varieties via the theory of Newton–Okounkov bodies. In this talk\, we will study Gelfand–Cetlin type string polytopes\, their enumerations\, and we will present small toric resolutions of certain string polytopes. This talk is based on several collaborations with Yunhyung Cho\, Jang Soo Kim\, Yoosik Kim\, and Kyeong-Dong Park.
URL:https://ccg.ibs.re.kr/event/2020-11-10/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201105T110000
DTEND;TZID=Asia/Seoul:20201105T120000
DTSTAMP:20210729T103758
CREATED:20201030T022314Z
LAST-MODIFIED:20210430T042320Z
UID:109-1604574000-1604577600@ccg.ibs.re.kr
SUMMARY:Insong Choe\, Minimal Rational Curves on the Moduli Spaces of Symplectic and Orthogonal Bundles over a Curve
DESCRIPTION: Speaker\n\n\nInsong Choe\nKonkuk University\n\n\n\n\n\nLet M be the moduli of vector bundles over a curve of fixed determinant. It is known that the Hecke curves are rational curves of minimal degree on M passing through a general point of M. We prove a similar result for the moduli of symplectic and orthogonal bundles. In particular\, I explain how to construct an analogue of Hecke curves on the symplectic and orthogonal settings\, and how to parameterize them. This is based on a joint work with Kiryong Chung and Sanghyeon Lee.
URL:https://ccg.ibs.re.kr/event/2020-11-05/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201028T110000
DTEND;TZID=Asia/Seoul:20201028T120000
DTSTAMP:20210729T103758
CREATED:20201030T022022Z
LAST-MODIFIED:20210430T042355Z
UID:105-1603882800-1603886400@ccg.ibs.re.kr
SUMMARY:Minseong Kwon\, Integrability of G-structures
DESCRIPTION:
URL:https://ccg.ibs.re.kr/event/2020-10-28/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201020T110000
DTEND;TZID=Asia/Seoul:20201020T120000
DTSTAMP:20210729T103758
CREATED:20201030T021741Z
LAST-MODIFIED:20210430T042511Z
UID:102-1603191600-1603195200@ccg.ibs.re.kr
SUMMARY:Jun-Muk Hwang\, VMRT of Unbendable Rational Curves Subordinate to Contact Structures
DESCRIPTION:
URL:https://ccg.ibs.re.kr/event/2020-10-20/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20201006T110000
DTEND;TZID=Asia/Seoul:20201006T120000
DTSTAMP:20210729T103758
CREATED:20200925T041044Z
LAST-MODIFIED:20210430T042545Z
UID:93-1601982000-1601985600@ccg.ibs.re.kr
SUMMARY:Hosung Kim\, The Abel-Jacobi Mapping for Fano Threefolds
DESCRIPTION:
URL:https://ccg.ibs.re.kr/event/2020-10-06/
LOCATION:B236\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20200922T110000
DTEND;TZID=Asia/Seoul:20200922T120000
DTSTAMP:20210729T103758
CREATED:20200925T040858Z
LAST-MODIFIED:20210430T042602Z
UID:90-1600772400-1600776000@ccg.ibs.re.kr
SUMMARY:Jaehyun Hong\, Stability of Tangent Bundles of Fano Manifolds
DESCRIPTION:
URL:https://ccg.ibs.re.kr/event/2020-09-22/
LOCATION:B236\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20200915T110000
DTEND;TZID=Asia/Seoul:20200915T120000
DTSTAMP:20210729T103758
CREATED:20200925T040709Z
LAST-MODIFIED:20210430T042618Z
UID:87-1600167600-1600171200@ccg.ibs.re.kr
SUMMARY:Qifeng Li\, Unbendable Rational Curves of Goursat Type
DESCRIPTION:
URL:https://ccg.ibs.re.kr/event/2020-09-15/
LOCATION:B236\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
END:VCALENDAR