Geometric analysis on complex manifolds

• Project/Area Number: 20H00116
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Review Section: Medium-sized Section 12:Analysis, applied mathematics, and related fields
• Research Institution: The University of Tokyo
• Principal Investigator: 平地 健吾 東京大学, 大学院数理科学研究科, 教授 (60218790)
• Project Period (FY): 2020-04-01 – 2025-03-31
• Project Status: Granted (Fiscal Year 2024)
• Budget Amount: ¥42,770,000 (Direct Cost: ¥32,900,000、Indirect Cost: ¥9,870,000); Fiscal Year 2024: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000); Fiscal Year 2023: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000); Fiscal Year 2022: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000); Fiscal Year 2021: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000); Fiscal Year 2020: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
• Keywords: 多変数関数論 / 代数幾何学 / アインシュタイン計量 / 複素解析 / 放物型幾何学 / CR多様体 / ケーラー多様体 / ベルグマン核

Outline of Research at the Start

理論物理や代数幾何からの要請を踏まえ、複素解析幾何学の基礎理論の充実と, 各分野で提起されている問題の解決を目指す。毎年、主要テーマを選び国際研究集会「多変数関数論葉山シンポジウム」を開催する。また中規模の国内研究集会を通して研究グループの相互の連携を強化する。複素解析幾何の幅広い話題をカバーし、若手研究者も養成しながら世界に影響を与える成果を出すことが目的である。

Outline of Annual Research Achievements

多変数関数論葉山シンポジウム，函数論サマーセミナー，函数論シンポジウム，多変数函数論セミナーを対面で開催した．東京大学での複素解析幾何セミナーはハイブリッド形式でほぼ毎週開催した．平地健吾はCR多様体の多くの２次不変量の変分公式を導いた．高山茂晴はケーラー射と中野半正なベクトル束に対し，高次順像層がGriffiths半正なこと，最小拡張性をもつことを示した．辻元はケーラー多様体上の不変測度のp-ベルグマン核による近似を構成し，それを用いて多重標準系の直像の反正値性を示した．吉川謙一はEisenstein K3曲面の解析的捩率不変量を構成し，その不変量がモジュライ空間上のPeterssonノルムで与えられることを示した．山ノ井克俊は準アーベル多様体の部分多様体が対数的に一般型であれば擬小林双曲的であることを証明した．本多宣博はセグレ曲面から得られる実Einstein-Weyl多様体の微分幾何学的な性質について考察し，その上の空間的測地線がすべて閉じていることを示した．神本丈は局所ゼータ関数の解析接続や振動積分の漸近挙動に関して，特異点解消定理を用いて詳細な解析を行った．松村慎一は複素幾何に現れる様々な半正値性を研究した．松本佳彦は共形コンパクトEinstein多様体のあいだの写像に関する繰り込みエネルギーの概念を定式化し，それによる無限遠境界上の共形測地線の特徴づけを与えた．久本智之はKahler-Ricci流の幾何学的量子化について定式化し，Fano多様体の最適退化と関連づける研究を行った．千葉優作はボーア・ゾンマーフェルトラグランジュ部分多様体上の漸近的劣平均値定理がイソトロピックな部分多様体上でも成り立つかを考察した. 足立真訓は法束が正の余次元1正則葉層に関するBrunellaの予想を解決した．丸亀泰二は3次元CR多様体の非斉次アンビエント計量の一意性を考察した．

Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

当該分野の主要な国際会議である多変数関数論葉山シンポジウムを「ベルグマン核生誕100年」をテーマとして，３年ぶりに対面で開催することができた．対面での国際的な研究打ち合わせの機会は多くはなかったが各々の研究は順調に進んでいる．

Strategy for Future Research Activity

コロナ禍で滞っていた若手研究者（大学院生を含む）の国際交流を再開するため海外での韓国での研究集会を開催する．多変数関数論葉山シンポジウムには，ここ３年間交流が難しかった中国およびインドからの講演者を招聘し，新しい国際共同研究の開始を促す．

Research Products

• [Int'l Joint Research] Sun Yat-sen University(中国)
• [Int'l Joint Research] University of California, Santa Barbara(米国)
• [Int'l Joint Research] Universitat Leipzig(ドイツ)
• [Int'l Joint Research] Universite Polytechnique Hauts-de-France/University of Lorraine(フランス)
• [Journal Article] On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces (2023)
  • Author(s): Ejiri Sho、Iwai Masataka、Matsumura Shin-ichi
  • Journal Title: Journal of Algebraic Geometry Volume: - Issue: 3 Pages: 477-517
  • DOI: 10.1090/jag/814
  • Peer Reviewed
• [Journal Article] 複素幾何に現れる非負曲率性に対する構造定理 (2023)
  • Author(s): Matsumura Shin-ichi
  • Journal Title: 雑誌 数学 Volume: -
  • Peer Reviewed
• [Journal Article] On meromorphy of local zeta functions for $C^{\infty}$ functions (2023)
  • Author(s): J. Kamimoto
  • Journal Title: 京都大学数理解析研究所講究録 Volume: -
• [Journal Article] Asymptotic expansion of oscillatory integrals with singular phases (2023)
  • Author(s): J. Kamimoto, H. Mizuno
  • Journal Title: Kyushu journal of Math. Volume: -
  • Peer Reviewed
• [Journal Article] Mabuchi's soliton metric and relative D-stability (2023)
  • Author(s): T. Hisamoto
  • Journal Title: American Journal of Mathematics Volume: -
  • Peer Reviewed
• [Journal Article] 多変数複素解析とKahler-Einstein計量 (2023)
  • Author(s): T. Hisamoto
  • Journal Title: 雑誌 数学 Volume: -
  • Peer Reviewed
• [Journal Article] Strictly nef divisors on K-trivial fourfolds (2022)
  • Author(s): Liu Haidong、Matsumura Shin-ichi
  • Journal Title: Mathematische Annalen Volume: - Issue: 1-2 Pages: 985-1008
  • DOI: 10.1007/s00208-022-02461-1
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Injectivity theorems with multiplier ideal sheaves for higher direct images under K?hler morphisms (2022)
  • Author(s): Matsumura Shin-ichi
  • Journal Title: Algebraic Geometry Volume: - Pages: 122-158
  • DOI: 10.14231/ag-2022-005
  • Peer Reviewed / Open Access
• [Journal Article] On projective manifolds with semi-positive holomorphic sectional curvature (2022)
  • Author(s): Matsumura Shin-ichi
  • Journal Title: American Journal of Mathematics Volume: 144
  • Peer Reviewed
• [Journal Article] Open problems on structure of positively curved projective varieties (2022)
  • Author(s): Matsumura Shin-ichi
  • Journal Title: Annales de la Faculte des sciences de Toulouse : Mathamatiques Volume: 31 Issue: 3 Pages: 1011-1029
  • DOI: 10.5802/afst.1712
  • Peer Reviewed / Open Access
• [Journal Article] 複素解析学の探求にかける情熱 (2022)
  • Author(s): J. Kamimoto
  • Journal Title: 雑誌 数理科学 Volume: 710
• [Journal Article] Singularities of $L^2$-metric in the canonical bundle formula (2022)
  • Author(s): S. Takayama
  • Journal Title: American Journal of Mathematics Volume: 144
  • Peer Reviewed
• [Journal Article] Mumford goodness of canonical L2-metrics on direct image sheaves over a curve (2022)
  • Author(s): Takayama Shigeharu
  • Journal Title: Advances in Mathematics Volume: 405 Pages: 108485-108485
  • DOI: 10.1016/j.aim.2022.108485
  • Peer Reviewed
• [Journal Article] Analytic torsion for log-Enriques surfaces and Borcherds product (2022)
  • Author(s): Yoshikawa, Ken-ichi (with Dai, X.)
  • Journal Title: Forum of Mathematics, Sigma Volume: e77 Pages: 1-54
  • DOI: 10.1017/fms.2022.66
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Segre quartic surfaces and minitwistor spaces (2022)
  • Author(s): N. Honda
  • Journal Title: New York J. Math. Volume: 28 Pages: 672-704
  • Peer Reviewed / Open Access
• [Journal Article] On the cuspidal locus in the dual varieties of Segre quartic surface (2022)
  • Author(s): N. Honda, A. Minagawa
  • Journal Title: Riv. Mat. Univ. Parma Volume: 13
  • Peer Reviewed / Open Access
• [Journal Article] On weighted Bergman spaces of a domain with Levi-flat boundary II (2022)
  • Author(s): Masanori Adachi
  • Journal Title: Complex Analysis and its Synergies Volume: 8 Issue: 2 Pages: 1-9
  • DOI: 10.1007/s40627-022-00097-0
  • Peer Reviewed
• [Journal Article] Kobayashi Hyperbolicity of the Complements of Ample Divisors in Abelian Varieties (2022)
  • Author(s): Yamanoi Katsutoshi
  • Journal Title: Publications of the Research Institute for Mathematical Sciences Volume: 58 Issue: 2 Pages: 281-309
  • DOI: 10.4171/prims/58-2-2
  • Peer Reviewed
• [Journal Article] Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates (2022)
  • Author(s): Hirachi Kengo
  • Journal Title: Complex Analysis and its Synergies Volume: 8 Issue: 3
  • DOI: 10.1007/s40627-022-00101-7
  • Peer Reviewed
• [Journal Article] On Levi flat hypersurfaces with transversely affine foliation (2022)
  • Author(s): Adachi Masanori、Biard Severine
  • Journal Title: Mathematische Zeitschrift Volume: 301 Issue: 1 Pages: 373-383
  • DOI: 10.1007/s00209-021-02927-z
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Dynamical aspects of foliations with ample normal bundle (2022)
  • Author(s): M. Adachi, J. Brinkschulte
  • Journal Title: Indiana Univ. Math. J. Volume: －
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On weighted Bergman spaces of a domain with Levi-flat boundary II (2022)
  • Author(s): M. Adachi
  • Journal Title: Complex Anal. Synerg. Volume: 8
  • Peer Reviewed
• [Journal Article] Injectivity theorems with multiplier ideal sheaves for higher direct images under Kaehler morphisms (2022)
  • Author(s): S. Matsumura
  • Journal Title: Algebraic Geometry Volume: －
  • Peer Reviewed / Open Access
• [Journal Article] On projective manifolds with semi-positive holomorphic sectional curvature (2022)
  • Author(s): S. Matsumura
  • Journal Title: American Journal of Mathematics Volume: －
  • Peer Reviewed
• [Journal Article] Open problems on structure of positively curved projective varieties (2022)
  • Author(s): S. Matsumura
  • Journal Title: Annales de la Faculte des Sciences de Toulouse Volume: －
  • Peer Reviewed
• [Journal Article] ツイスター空間論の問題 (2022)
  • Author(s): N. Honda
  • Journal Title: 数理解析研究所講究録 Volume: 2211
• [Journal Article] Mabuchi's Soliton Metric and Relative D-stability (2022)
  • Author(s): T. Hisamoto
  • Journal Title: American Journal of Mathematics Volume: －
  • Peer Reviewed
• [Journal Article] Kobayashi Hyperbolicity of the Complements of Ample Divisors in Abelian Varieties (2022)
  • Author(s): K. Yamanoi
  • Journal Title: Publ. RIMS Kyoto Univ. Volume: 58
  • Peer Reviewed
• [Journal Article] 値分布の問題 (2022)
  • Author(s): K. Yamanoi
  • Journal Title: 数理解析研究所講究録 Volume: 2211
  • Open Access
• [Journal Article] CR幾何, 共形幾何の問題 (2022)
  • Author(s): 平地健吾
  • Journal Title: 数理解析研究所講究録 Volume: 2211
  • Open Access
• [Journal Article] Diederich-Fornaess and Steinness Indices for Abstract CR Manifolds (2021)
  • Author(s): Masanori Adachi, Jihun Yum
  • Journal Title: The Journal of Geometric Analysis Volume: － Issue: 8 Pages: 8385-8413
  • DOI: 10.1007/s12220-020-00598-6
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On weighted Bergman spaces of a domain with Levi-flat boundary (2021)
  • Author(s): M. Adachi
  • Journal Title: Trans. Amer. Math. Soc. Volume: 374 Issue: 10 Pages: 7499-7524
  • DOI: 10.1090/tran/8471
  • Peer Reviewed
• [Journal Article] Weighted Bergman spaces of domains with Levi-flat boundary (2021)
  • Author(s): M. Adachi
  • Journal Title: 数理解析研究所講究録 Volume: 2175 Pages: 108-117
  • Open Access
• [Journal Article] ON PROJECTIVE MANIFOLDS WITH PSEUDO-EFFECTIVE TANGENT BUNDLE (2021)
  • Author(s): Hosono Genki、Iwai Masataka、Matsumura Shin-ichi
  • Journal Title: Journal of the Institute of Mathematics of Jussieu Volume: － Issue: 5 Pages: 1-30
  • DOI: 10.1017/s1474748020000754
  • Peer Reviewed
• [Journal Article] Injectivity theorem for pseudo-effective line bundles and its applications (2021)
  • Author(s): O. Fujino, S. Matsumura
  • Journal Title: Transactions of the American Mathematical Society, Series B Volume: 8
  • Peer Reviewed / Open Access
• [Journal Article] Projective klt pairs with nef anti-canonical divisor (2021)
  • Author(s): F. Campana, J. Cao, S. Matsumura
  • Journal Title: Algebraic Geometry Volume: 8
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Newton polyhedra and order of contact on real hypersurfaces (2021)
  • Author(s): KAMIMOTO Joe
  • Journal Title: Journal of the Mathematical Society of Japan Volume: 73 Issue: 1 Pages: 1-39
  • DOI: 10.2969/jmsj/80868086
  • NAID: 130007973712
  • ISSN: 0025-5645, 1881-1167, 1881-2333
  • Peer Reviewed / Open Access
• [Journal Article] On the image of MRC fibrations of projective manifolds with semi-positive holomorphic sectional curvature (2020)
  • Author(s): S. Matsumura
  • Journal Title: Pure and Applied Mathematics Quarterly Volume: 16
  • Peer Reviewed
• [Journal Article] Meromorphy of local zeta functions in smooth model cases (2020)
  • Author(s): Kamimoto Joe、Nose Toshihiro
  • Journal Title: Journal of Functional Analysis Volume: 278 Issue: 6 Pages: 108408-108408
  • DOI: 10.1016/j.jfa.2019.108408
  • Peer Reviewed / Open Access
• [Journal Article] On Holomorphic Curves Tangent to Real Hypersurfaces of Infinite Type (2020)
  • Author(s): Kamimoto Joe
  • Journal Title: The Journal of Geometric Analysis Volume: - Issue: 8 Pages: 1-17
  • DOI: 10.1007/s12220-020-00567-z
  • Peer Reviewed / Open Access
• [Journal Article] K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: the structure of invariant (2020)
  • Author(s): Souhei Ma, Ken-Ichi Yoshikawa
  • Journal Title: Compositio Mathematica Volume: 156 Issue: 10 Pages: 1965-2019
  • DOI: 10.1112/s0010437x2000737x
  • NAID: 120007193026
  • Peer Reviewed
• [Journal Article] K3 surfaces with involution and analytic torsion (2020)
  • Author(s): Ken-Ichi Yoshikawa
  • Journal Title: Sugaku Expositions Volume: 33 Issue: 1 Pages: 85-109
  • DOI: 10.1090/suga/449
  • NAID: 130007420317
  • Peer Reviewed
• [Presentation] On projective manifolds with semi-positive holomorphic sectional curvature (2023)
  • Author(s): S. Matsumura
  • Organizer: Complex Geometry Seminar, University of Nice
  • Int'l Joint Research / Invited
• [Presentation] Geometry of holomorphic sectional curvature (2023)
  • Author(s): S. Matsumura
  • Organizer: Oberseminar, University of Bayreuth
  • Int'l Joint Research / Invited
• [Presentation] Geometry of holomorphic sectional curvature I (2023)
  • Author(s): S. Matsumura
  • Organizer: Seminar on Complex Geometry, Pusan National University
  • Int'l Joint Research / Invited
• [Presentation] Geometry of holomorphic sectional curvature II (2023)
  • Author(s): S. Matsumura
  • Organizer: Seminar on Complex Geometry, Pusan National University
  • Int'l Joint Research / Invited
• [Presentation] The nonvanishing problem for varieties with nef anticanonical bundle (2023)
  • Author(s): S. Matsumura
  • Organizer: Korea-Japan Conference in Algebraic Geometry
  • Int'l Joint Research / Invited
• [Presentation] Eisenstein $K3$ surfaces and analytic torsion (2023)
  • Author(s): 吉川謙一
  • Organizer: K3, Enriques Surfaces and Related Topics, 名古屋大学
  • Invited
• [Presentation] A residue formula for meromorphic connections and applications to stable sets of foliations (2023)
  • Author(s): M. Adachi
  • Organizer: S_minaire "Analyse complexe et _quations diff_rentielles", Laboratoire Paul Painlev_ - CNRS
  • Int'l Joint Research / Invited
• [Presentation] The Levi problem and quantitative study in several complex variable (2023)
  • Author(s): M. Adachi
  • Organizer: Seminar at University of Milano-Bicocca
  • Int'l Joint Research / Invited
• [Presentation] plurisubharmonic variation of invariant measures (2023)
  • Author(s): 辻 元
  • Organizer: 坂東重稔退官記念シンポジウム
  • Invited
• [Presentation] Renormalized energy of maps and conformal geodesics (2023)
  • Author(s): Y. Matsumoto
  • Organizer: Geometric Analysis
  • Int'l Joint Research / Invited
• [Presentation] 写像の繰り込みエネルギーと共形測地線 (2023)
  • Author(s): 松本佳彦
  • Organizer: 日本数学会2023年度年会（幾何学分科会一般講演）
• [Presentation] 写像の繰り込みエネルギーと共形測地線 (2023)
  • Author(s): 松本佳彦
  • Organizer: Workshop on Complex geometry in Osaka 2023
• [Presentation] Abundance theorem for minimal compact Kahler manifolds with vanishing second Chern class (2022)
  • Author(s): S. Matsumura
  • Organizer: Oberseminar, University of Bayreuth
  • Int'l Joint Research / Invited
• [Presentation] Positivity of direct images and applications to algebraic fiber spaces (2022)
  • Author(s): S. Matsumura
  • Organizer: The Postech Conference 2022 on Complex Analytic Geometry
  • Int'l Joint Research / Invited
• [Presentation] On projective manifolds with pseudo-effective tangent bundle (2022)
  • Author(s): S. Matsumura
  • Organizer: Oberseminar Algebraische Geometrie, University of Saarlandes
  • Int'l Joint Research / Invited
• [Presentation] The Nonvanishing problem for varieties with nef anticanonical bundle (2022)
  • Author(s): S. Matsumura
  • Organizer: Workshop on Complex Analysis and Geometry
  • Int'l Joint Research / Invited
• [Presentation] Resolution of singularities for $C^{\infty}$ functions and meromorphy of local zeta functions (2022)
  • Author(s): J. Kamimoto
  • Organizer: CIMAT's Commutative Algebra / Algebraic Geometry Seminar,
  • Invited
• [Presentation] Newton polyherda in several complex variables (2022)
  • Author(s): J. Kamimoto
  • Organizer: Virtual East-West Several Complex Variables seminar,
  • Invited
• [Presentation] Asymptotic analysis of the Bergman kernel on pseudoconvex model domains (2022)
  • Author(s): J. Kamimoto
  • Organizer: "HAYAMA Symposium on Complex Analysis in Several Variables XXIII"
  • Int'l Joint Research / Invited
• [Presentation] Resolution of singularities for $C^{\infty}$ functions and meromorphy of local zeta functions (2022)
  • Author(s): J. Kamimoto
  • Organizer: 研究集会「超局所解析と漸近解析の展望」京大数理解析研究所
  • Int'l Joint Research / Invited
• [Presentation] Resolution of singularities for $C^{\infty}$ functions and meromorphy of local zeta functions (2022)
  • Author(s): J. Kamimoto
  • Organizer: 複素解析幾何セミナー、東京大学
  • Invited
• [Presentation] 特異点解消定理と局所ゼータ関数の解析接続 (2022)
  • Author(s): J. Kamimoto
  • Organizer: 岡シンポジウム，奈良女子大学
  • Invited
• [Presentation] Gauss-Bonnetの定理とCR幾何学 (2022)
  • Author(s): T. Marugame
  • Organizer: 情報数理工学セミナー，電気通信大学(オンライン)
  • Invited
• [Presentation] Constructions of CR GJMS operators in dimension three (2022)
  • Author(s): T. Marugame
  • Organizer: 複素解析幾何セミナー，東京大学
  • Invited
• [Presentation] 多重標準線形系の$L^p$構造の極限について (2022)
  • Author(s): 高山 茂晴
  • Organizer: 第28回複素幾何シンポジウム
  • Invited
• [Presentation] Degeneration of Riemann surfaces and small eigenvalues of Laplacian (2022)
  • Author(s): 吉川謙一
  • Organizer: 第28 回複素幾何シンポジウム
  • Invited
• [Presentation] A new family of space-like Zoll 3-manifolds (2022)
  • Author(s): N. Honda
  • Organizer: Workshop on Complex geometry in Osaka 2022
  • Int'l Joint Research / Invited
• [Presentation] 空間的測地線がすべて閉じている幾何構造の新しい例 (2022)
  • Author(s): 本多宣博
  • Organizer: 幾何セミナー 東京工業大学
• [Presentation] Dynamical aspects of foliations with ample normal bundle (2022)
  • Author(s): M. Adachi
  • Organizer: Virtual East-West Several Complex Variables Seminar, (online)
  • Invited
• [Presentation] On weighted Bergman spaces of a domain with Levi-flat boundary (2022)
  • Author(s): M. Adachi
  • Organizer: CR Geometry and PDEs IX
  • Int'l Joint Research / Invited
• [Presentation] On weighted Bergman spaces of a domain with Levi-flat boundary (2022)
  • Author(s): M. Adachi
  • Organizer: Workshop on Complex Analysis and Geometry
  • Int'l Joint Research / Invited
• [Presentation] A residue formula for meromorphic connections and applications to stable sets of foliations (2022)
  • Author(s): M. Adachi
  • Organizer: HAYAMA Symposium on Complex Analysis in Several Variables XXIII
  • Int'l Joint Research / Invited
• [Presentation] A residue formula for meromorphic connections and applications to stable sets of foliations (2022)
  • Author(s): M. Adachi
  • Organizer: Complex Geometry Workshop
  • Int'l Joint Research / Invited
• [Presentation] On weighted Bergman spaces of a domain with Levi-flat boundary (2022)
  • Author(s): M. Adachi
  • Organizer: Journ_e Complexe, Laboratoire J.A. Dieudonn_ de l'Universit_ C_te d'Azur
  • Int'l Joint Research / Invited
• [Presentation] A residue formula for meromorphic connections and applications to stable sets of foliations (2022)
  • Author(s): M. Adachi
  • Organizer: Joint Seminar on Complex Algebraic Geometry and Complex Analysis
  • Int'l Joint Research / Invited
• [Presentation] Harmonic measures and rigidity for surface group actions on the circle (2022)
  • Author(s): M. Adachi
  • Organizer: 36th Summer Topology Conference
  • Int'l Joint Research / Invited
• [Presentation] Harmonic measures and rigidity for surface group actions on the circle (2022)
  • Author(s): 足立真訓
  • Organizer: 葉層構造論シンポジウム
• [Presentation] Hermite-Einstein計量の変分法 (2022)
  • Author(s): 久本智之
  • Organizer: 大阪大学幾何学セミナー
  • Invited
• [Presentation] Asymptotic construction of the optimal degeneration for a Fano manifold (2022)
  • Author(s): 久本智之
  • Organizer: HAYAMA Symposium on Complex Analysis in Several Variables XXIII
  • Int'l Joint Research / Invited
• [Presentation] Asymptotic construction of the optimal degeneration for a Fano manifold (2022)
  • Author(s): 久本智之
  • Organizer: 幾何学シンポジウム, 東京理科大学
  • Invited
• [Presentation] Fano多様体の最適退化の漸近的構成について (2022)
  • Author(s): 久本智之
  • Organizer: 京都大学代数幾何学セミナー
  • Invited
• [Presentation] 代数多様体の最適退化に対応する幾何学的フローと、その漸近的構成について (2022)
  • Author(s): 久本智之
  • Organizer: 筑波大学微分幾何学セミナー
  • Invited
• [Presentation] Approximation of invariant measures on complex manifols (2022)
  • Author(s): H.Tsuji
  • Organizer: Hayama Symposium on Complx Analysis in Several Complex Variables
  • Int'l Joint Research / Invited
• [Presentation] Application of p-Bergman kernels (2022)
  • Author(s): 辻 元
  • Organizer: 複素幾何シンポジウム
  • Invited
• [Presentation] The CR Killing operator and the BGG construction in CR geometry (2022)
  • Author(s): Y. Matsumoto
  • Organizer: Geometric Structures, Compactifications, and Group Actions
  • Int'l Joint Research / Invited
• [Presentation] The CR Killing operator and Bernstein-Gelfand-Gelfand construction in CR geometry (2022)
  • Author(s): 松本佳彦
  • Organizer: 複素解析幾何セミナー、東京大学
  • Invited
• [Presentation] CR Killing作用素とBernstein-Gelfand-Gelfand構成 (2022)
  • Author(s): 松本佳彦
  • Organizer: 日本数学会2022年度秋季総合分科会（函数論分科会一般講演）
• [Presentation] Asymptotic estimates of holomorphic sections on Bohr-Sommerfeld Lagrangian submanifolds (2022)
  • Author(s): 千葉優作
  • Organizer: 第６５回関数論シンポジウム
  • Invited
• [Presentation] ボーア・ゾンマーフェルト ラグランジュ部分多様体上の漸近的劣平均値定理 (2022)
  • Author(s): 千葉優作
  • Organizer: 多変数関数論冬セミナー
  • Invited
• [Presentation] Asymptotic estimates of holomorphic sections on Bohr-Sommerfeld Lagrangian submanifolds (2022)
  • Author(s): 千葉優作
  • Organizer: 日本数学会2022年度年会
• [Presentation] Normal scale for pseudo-Einstein contact forms and intrinsic (2022)
  • Author(s): 平地健吾
  • Organizer: CR normal coordinates, Conformal Geometry, Analysis, and Physics
  • Int'l Joint Research / Invited
• [Presentation] Normal forms for pseudo-Einstein contact forms and intrinsic CR normal coordinates (2022)
  • Author(s): 平地健吾
  • Organizer: omplex Analysis and Geometry - XXVI
  • Int'l Joint Research / Invited
• [Presentation] Dynamical aspects of foliations with ample normal bundle (2022)
  • Author(s): M. Adachi
  • Organizer: The Conference on Complex Geometric Analysis in honor of Kang-Tae Kim’s 65th birthday
  • Int'l Joint Research / Invited
• [Presentation] On projective manifolds with pseudo-effective tangent bundle (2022)
  • Author(s): S. Matsumura
  • Organizer: The Conference on Complex Geometric Analysis in honor of Kang-Tae Kim's 65th birthday
  • Int'l Joint Research / Invited
• [Presentation] 局所ゼータ関数の特異性について (2022)
  • Author(s): J. Kamimoto
  • Organizer: 研究集会「アクセサリー・パラメーター研究会」，熊本大学
  • Invited
• [Presentation] C∞ 関数に関する特異点解消と局所ゼータ関数の有理型解析接続 (2022)
  • Author(s): J. Kamimoto
  • Organizer: 日本数学会2022年度春季総合分科会
• [Presentation] セグレ4次曲面とミニツイスター空間 (2022)
  • Author(s): N. Honda
  • Organizer: 第17回代数・解析・幾何学セミナー
  • Invited
• [Presentation] Segre quartic surfaces and compact minitwistor spaces with genus one (2022)
  • Author(s): N. Honda
  • Organizer: Workshop on Surface Theory --UY60--
  • Int'l Joint Research / Invited
• [Presentation] Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates (2022)
  • Author(s): K. Hirachi
  • Organizer: The Conference on Complex Geometric Analysis in honor of Kang-Tae Kim's 65th birthday
  • Int'l Joint Research / Invited
• [Presentation] On Levi flat hypersurfaces with transversely affine foliation (2021)
  • Author(s): M. Adachi
  • Organizer: Grauert theory and recent complex geometry
  • Int'l Joint Research / Invited
• [Presentation] Dynamical aspects of foliations with ample normal bundle (2021)
  • Author(s): 足立真訓
  • Organizer: 葉層構造論シンポジウム
• [Presentation] 豊富な法束を持つ葉層の力学的様相 (2021)
  • Author(s): 足立真訓
  • Organizer: 2021年度多変数関数論冬セミナー
  • Invited
• [Presentation] Dynamical aspects of foliations with ample normal bundle (2021)
  • Author(s): 足立真訓
  • Organizer: 葉層構造の幾何学とその応用
  • Invited
• [Presentation] Severine Biard,横断的アフィン葉層を持つレビ平坦面について (2021)
  • Author(s): 足立真訓
  • Organizer: 2021年度日本数学会年会函数論分科会
• [Presentation] 豊富な法束を持つ葉層の力学的様相 (2021)
  • Author(s): 足立真訓, Judith Brinkschulte
  • Organizer: 2021年度日本数学会秋季総合分科会函数論分科会
• [Presentation] On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces (2021)
  • Author(s): S. Matsumura
  • Organizer: Grauert Theory and Recent Complex Geometry
  • Int'l Joint Research / Invited
• [Presentation] Structure theorem for projective klt pairs with nef anti-canonical divisor (2021)
  • Author(s): S. Matsumura
  • Organizer: Analysis of Monge-Ampere, a tribute to Ahmed Zeriahi
  • Int'l Joint Research / Invited
• [Presentation] On projective manifolds with pseudo-effective tangent bundle (2021)
  • Author(s): S. Matsumura
  • Organizer: Subvarieties and foliations of complex projective varieties
  • Int'l Joint Research / Invited
• [Presentation] 非負曲率を持つ射影多様体の構造について (2021)
  • Author(s): S. Matsumura
  • Organizer: 大阪大学 談話会
  • Invited
• [Presentation] On projective manifolds with non-negative holomorphic sectional curvature (2021)
  • Author(s): S. Matsumura
  • Organizer: 大阪大学 幾何学セミナー
  • Invited
• [Presentation] 数値的に半正な反標準束を持つKLT対の構造定理について (2021)
  • Author(s): S. Matsumura
  • Organizer: Higher- dimensional algebraic varieties in honour of Professor Shigefumi Mori’s 70th birthday
  • Invited
• [Presentation] Structure theorem for projective klt pairs with nef anti-canonical divisor (2021)
  • Author(s): S. Matsumura
  • Organizer: 城崎 代数幾何シンポジウム2021
  • Invited
• [Presentation] Strictly nef divisors on K-trivial fourfolds (2021)
  • Author(s): S. Matsumura
  • Organizer: 2021 年度多変数関数論 冬セミナー
  • Invited
• [Presentation] Asymptotic analysis of oscillatory integrals with degenerate phases (2021)
  • Author(s): J. Kamimoto
  • Organizer: 偏微分方程式姫路研究集会
  • Invited
• [Presentation] Quasi-pullback of certain Siegel modular forms and Borcherds products (2021)
  • Author(s): K.-I. Yoshikawa
  • Organizer: 「保型形式，保型表現, ガロア表現とその周辺」RIMS共同研究（公開型）
  • Int'l Joint Research / Invited
• [Presentation] Degeneration of Riemann surfaces and small eigenvalues of Laplacian (2021)
  • Author(s): K.-I. Yoshikawa
  • Organizer: Grauert theory and recent complex geometry (Grauert理論と最近の複素幾何)
  • Int'l Joint Research / Invited
• [Presentation] Degeneration of Riemann surfaces and small eigenvalues of Laplacian (2021)
  • Author(s): K.-I. Yoshikawa
  • Organizer: India-Japan Web-Workshop on Vector Bundles and Related Topics
  • Int'l Joint Research / Invited
• [Presentation] Degeneration of Riemann surfaces and small eigenvalues of Laplacian (2021)
  • Author(s): K.-I. Yoshikawa
  • Organizer: Conference on Index Theory and Related Topics (National University of Singapore)
  • Int'l Joint Research / Invited
• [Presentation] The dual varieties of Segre quartic surfaces (2021)
  • Author(s): N. Honda
  • Organizer: Cohomology of Complex Manifolds 2021
  • Int'l Joint Research / Invited
• [Presentation] ツイスター空間論の問題 (2021)
  • Author(s): N. Honda
  • Organizer: 複素幾何学の諸問題 II
  • Invited
• [Presentation] Segre surfaces and minitwistor spaces with genus one (2021)
  • Author(s): N. Honda
  • Organizer: Complex Geometry and Lie Groups
  • Int'l Joint Research / Invited
• [Presentation] 値分布の問題 (2021)
  • Author(s): K. Yamanoi
  • Organizer: 複素幾何学の諸問題 II
  • Invited
• [Presentation] 正則写像の値分布論に関する話題から (2021)
  • Author(s): K. Yamanoi
  • Organizer: 2021年度日本数学会秋季総合分科会
  • Invited
• [Presentation] Local and global invariants of CR geometry (2021)
  • Author(s): K. Hirachi
  • Organizer: The 6th Workshop: Complex Geometry and Lie Groups
  • Int'l Joint Research / Invited
• [Presentation] CR幾何, 共形幾何の問題 (2021)
  • Author(s): 平地健吾
  • Organizer: 複素幾何学の諸問題II
  • Invited
• [Presentation] Invariant theory for the Szego kernel (2021)
  • Author(s): K. Hirachi
  • Organizer: Virtual East-West Several Complex Variables seminar
  • Int'l Joint Research / Invited
• [Presentation] Projective klt pairs with nef anti-canonical divisor and rational curves (2020)
  • Author(s): S. Matsumura
  • Organizer: Joint Seminar on Complex Algebraic Geometry and Complex Analysis (Bochum-Essen-Koeln-Wuppertal)
  • Int'l Joint Research / Invited
• [Presentation] On projective manifolds with pseudo-effective tangent bundle (2020)
  • Author(s): S. Matsumura
  • Organizer: Complex Geometry Seminar
  • Int'l Joint Research / Invited
• [Presentation] 反相対標準束の正値性とその順像層の平坦性 (2020)
  • Author(s): S. Matsumura
  • Organizer: 複素代数多様体上の直線束と多重劣調和関数
  • Invited
• [Presentation] 非負の曲率を持つ射影多様体の構造定理について (2020)
  • Author(s): S. Matsumura
  • Organizer: 京都大学, 談話会
  • Invited
• [Presentation] Hacon-McKernan’s problem on rational connectedness (2020)
  • Author(s): S. Matsumura
  • Organizer: 第26回複素幾何シンポジウム
  • Invited
• [Presentation] On projective manifolds with pseudo-effective tangent bundle (2020)
  • Author(s): S. Matsumura
  • Organizer: 東京大学 複素解析幾何セミナー
  • Invited
• [Presentation] C∞平面曲線の特異点解消と局所ゼータ関数の有理型解析接続 (2020)
  • Author(s): J. Kamimoto
  • Organizer: 第63回函数論シンポジウム
  • Invited
• [Presentation] On holomorphic curves tangent to real hypersurfaces of infinite type (2020)
  • Author(s): J. Kamimoto
  • Organizer: 多変数関数論冬セミナー
  • Invited
• [Presentation] Segre surfaces and minitwistor spaces with genus one (2020)
  • Author(s): N. Honda
  • Organizer: The 26th Symposium on Complex Geometry
  • Int'l Joint Research / Invited
• [Presentation] Optimal lower bound of the Calabi type functionals (2020)
  • Author(s): T. Hisamoto
  • Organizer: Pacific Rim Conference in Mathematics
  • Int'l Joint Research / Invited
• [Presentation] Fano多様体の最適退化の乗数イデアル層による構成 (2020)
  • Author(s): T. Hisamoto
  • Organizer: 東京工業大学幾何セミナー
  • Invited
• [Presentation] Limit of the Kaehler-Ricci flow and multiplier ideal sheaves optimally destabilize the Fano manifold (2020)
  • Author(s): T. Hisamoto
  • Organizer: 多変数関数論冬セミナー
  • Invited
• [Presentation] Multiplier ideal sheaves, and optimal degeneration of a Fano manifold (2020)
  • Author(s): T. Hisamoto
  • Organizer: Grauert theory and recent complex geometry Geometric flow
  • Int'l Joint Research / Invited
• [Presentation] 正則写像の値分布理論の最近の話題から (2020)
  • Author(s): K. Yamanoi
  • Organizer: 幾何学シンポジウム
  • Invited
• [Funded Workshop] HAYAMA Symposium on Complex Analysis in Several Variables XXIII (2022)
• [Funded Workshop] HAYAMA Symposium on Complex Analysis in Several Variables XXII (2021)