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PRODID:-//Center for Complex Geometry - ECPv6.16.2//NONSGML v1.0//EN
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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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X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:Asia/Seoul
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20210101T000000
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END:VTIMEZONE
BEGIN:VEVENT
DTSTART;VALUE=DATE:20220815
DTEND;VALUE=DATE:20230815
DTSTAMP:20260528T121252
CREATED:20220926T052830Z
LAST-MODIFIED:20230119T042344Z
UID:1755-1660521600-1692057599@ccg.ibs.re.kr
SUMMARY:Jinhyun Park (박진현\, KAIST)
DESCRIPTION:Jinhyun Park (박진현) \nVisitor (2022.8.15-2023.8.14) from KAIST\nOffice: B248
URL:https://ccg.ibs.re.kr/event/220815-230814/
CATEGORIES:Visitors
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20230301
DTEND;VALUE=DATE:20240229
DTSTAMP:20260528T121252
CREATED:20230425T013322Z
LAST-MODIFIED:20230504T065225Z
UID:2258-1677628800-1709164799@ccg.ibs.re.kr
SUMMARY:Insong Choe (최인송\, Konkuk University)
DESCRIPTION:Insong Choe (최인송) \nVisitor (2023.3.1-2024.2.28) from Konkuk University \nOffice: B255
URL:https://ccg.ibs.re.kr/event/230301-240228/
CATEGORIES:Visitors
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230406T110000
DTEND;TZID=Asia/Seoul:20230406T120000
DTSTAMP:20260528T121252
CREATED:20230310T045023Z
LAST-MODIFIED:20230327T014355Z
UID:2128-1680778800-1680782400@ccg.ibs.re.kr
SUMMARY:Donggun Lee\, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture
DESCRIPTION:    Speaker\n\n\nDonggun Lee\nIBS-CCG\n\n\n\n\n\n\nHessenberg varieties are subvarieties of flag varieties with interesting properties in both algebro-geometric and combinatorial perspectives. The Shareshian-Wachs conjecture connects their cohomology with the chromatic quasi-symmetric functions of the associated graphs\, which are refinements of the chromatic polynomials. In this talk\, we introduce generalized Hessenberg varieties and study their birational geometry via blowups. As a result\, natural maps from Hessenberg varieties to projective spaces or the permutohedral varieties are decomposed into explicit blowups and projective bundle maps. As a byproduct\, we also provide an elementary proof of the Shareshian-Wachs conjecture and its natural generalization. This is joint work with Prof. Young-Hoon Kiem.
URL:https://ccg.ibs.re.kr/event/2023-04-06/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230419T160000
DTEND;TZID=Asia/Seoul:20230419T180000
DTSTAMP:20260528T121252
CREATED:20230413T015214Z
LAST-MODIFIED:20230413T015458Z
UID:2233-1681920000-1681927200@ccg.ibs.re.kr
SUMMARY:Jihun Yum\, Stochastic Bergman Geometry
DESCRIPTION:    Speaker\n\n\nJihun Yum\nIBS-CCG\n\n\n\n\n\n\nFor a bounded domain Ω in Cn\, let P(Ω) be the set of all (real) probability distributions on Ω. Then\, in general\, P(Ω) becomes an infinite-dimensional smooth manifold and it always admit a natural Riemannian pseudo-metric\, called the Fisher information metric\, on P(Ω). Information geometry studies a finite-dimensional submanifold M\, which is called a statistical model\, in P(Ω) using geometric concepts such as Riemannian metric\, distance\, connection\, and curvature\, to better understand the properties of statistical models M and provide insights into the behavior of learning algorithms and optimization methods. \nIn this talk\, we first introduce a map Φ : Ω → P(Ω) and prove that the pull-back of the Fisher information metric on P(Ω) is exactly same as the Bergman metric of Ω. This map provides a completely new perspective that allows us to view Bergman geometry from a stochastical viewpoint. We will discuss the following 4 things. \n1. The relation between Φ and the Kobayashi map ι : Ω → CP∞. \n2. A Stochastic formula for the holomorphic sectional curvature of the Bergman metric. \n3. A Stochastic condition for injectivity of a proper holomorphic surjective map between two bounded domains. \n4. The central limit theorem on Ω. \nThis is a joint work with Gunhee Cho at UC Santa Barbara University.
URL:https://ccg.ibs.re.kr/event/2023-04-19/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230425T110000
DTEND;TZID=Asia/Seoul:20230425T120000
DTSTAMP:20260528T121252
CREATED:20230412T042805Z
LAST-MODIFIED:20230412T042805Z
UID:2228-1682420400-1682424000@ccg.ibs.re.kr
SUMMARY:Junyan Zhao\, Moduli of Curves of Genus 6 and K-stability
DESCRIPTION:    Speaker\n\n\nJunyan Zhao\nUniversity of Illinois Chicago\n\n\n\n\n\n\nA general curve C of genus 6 can be embedded into the unique quintic del Pezzo surface X5 as a divisor of class -2KX5. This embedding is unique up to the action of the symmetric group S5. Taking a double cover of X5 branched along C yields a K3 surface Y. Thus the K-moduli spaces of the pair (X5\, C) can be studied via wall-crossing and by relating them to the Hassett-Keel program for C and the HKL program for Y. On the other hand\, X5 can be embedded in P1 × P2 as a divisor of class O(1\,2)\, under which -2KX is linearly equivalent to OX(2\,2). One can study the VGIT-moduli spaces in this setting. In this talk\, I will compare these four types of compactified moduli spaces and their different birational models given by wall-crossing.
URL:https://ccg.ibs.re.kr/event/2023-04-25/
LOCATION:on-line
CATEGORIES:Algebraic Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230426T160000
DTEND;TZID=Asia/Seoul:20230426T180000
DTSTAMP:20260528T121252
CREATED:20230422T055932Z
LAST-MODIFIED:20230422T055932Z
UID:2255-1682524800-1682532000@ccg.ibs.re.kr
SUMMARY:Hoseob Seo\, On L2 Extension from Singular Hypersurfaces
DESCRIPTION:    Speaker\n\n\nHoseob Seo\nIBS CCG\n\n\n\n\n\n\nIn L2 extension theorems from a singular hypersurface in a complex manifold\, important roles are played by certain measures such as the Ohsawa measure which determine when a given function can be extended. We show that the singularity of the Ohsawa measure can be identified in terms of singularity of pairs from algebraic geometry. Using this\, we give an analytic proof of the inversion of adjunction in this setting. Then these considerations enable us to compare various positive and negative results on L2 extension from singular hypersurfaces. In particular\, we generalize a recent negative result of Guan and Li which places limitations on strengthening such L2 extension by employing a less singular measure in the place of the Ohsawa measure. This is joint work with Dano Kim.
URL:https://ccg.ibs.re.kr/event/2023-04-26/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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