Complex Semi-Abelian Varieties II --- Compactifications and etc.●July 10 (Monday) 10:30 &ndash 12:00 Do Duc Thai (Hanoi University of Education)
Characterization of domains in Cn by their noncompact automorphism groups● July 3 (Monday) 10:30 &ndash 12:00 Jörg Winkelmann (Université Henri Poincaré Nancy)Abstract. In this talk, the characterization of domains in Cn by their noncompact automorphism groups are given. By this characterization, the Bedford-Pinchuk theorem is true for any domain (not necessary bounded) in Cn.
Complex Semi-Abelian Varieties●June 26 (Monday) 10:30 &ndash 12:00 織田孝幸 ODA Takayuki (東大数理 University of Tokyo)
Toward construction of Green current for modular cycles in modular varieties●June 19 (Monday) 10:30 &ndash 12:00 後藤竜司 GOTO Ryushi (大阪大学 Osaka University)
Deformations and smoothing of (generalized) holomorphic symplectic structures●June 12 (Monday) 10:30 &ndash 12:00 赤堀隆夫 AKAHORI Takao (兵庫県立大学 University of Hyogo)
The Rumin complex and Hamiltonian mechanism (Abstract)●June 5 (Monday) 10:30 &ndash 12:00 Wolfram Bauer (東京理科大 Tokyo Univ. of Science, JSPS fellow)
Integral formulas for infinite dimensional domains with arbitrary boundary (Abstract)● ●May 29 (Monday) 10:30 &ndash 12:00 Marco Brunella (Bourgogne)
Uniformisation of Holomorphic Foliations by Curves II13:30 &ndash 15:00 大沢健夫 OHSAWA Takeo (名古屋大学 Nogoya Univeristy)
Hodge theory with bounds and its application to foliations
Uniformisation of Holomorphic Foliations by Curves I (Part II on May 29)●May 15 (Monday) 10:30 &ndash 12:00 Nessim Sibony (Paris Sud)Abstract: In the first lecture, we give a definition of "leaf" for a singular holomorphic one-dimensional foliation on a projective manifold. The definition is such that the leaves of a foliation glue together in a nice way, giving a "covering tube" which is a sort of semi-global flow box. This is, in some sense, the topological part of the theory. In the second lecture, we prove some convexity property of this covering tube. As a corollary we obtain that, when there are hyperbolic leaves, the leafwise Poincare' metric has some remarkable positivity property. In the third lecture, we study foliations all of whose leaves are parabolic. Using a suitable extension theorem for certain meromorphic maps, we show how to generalise the above positivity property to this degenerate class of foliations.
15:00 &ndash 16:30 @ Room 470 Nessim Sibony (Paris Sud)
Laminations with Singularities by Riemann Surfaces II
Laminations with Singularities by Riemann Surfaces I (Part II on May 22)●May 8 (Monday) 10:30 &ndash 12:00 大沢健夫 OHSAWA Takeo (名古屋大学 Nogoya Univeristy)Abstract: The basic example of a lamination, possibly with singularites, by Riemann surfaces, is the closure of a leaf of a holomorphic foliation in the complex projective plane.There are also many examples arising from the theory of iteration of a holomorphic map. The goal is to introduce tools in order to understand the globalproperties of leaves of a holomorphic lamination, mostly in compact Kaehler manifolds. We will develop the following topics.
-Poincare metric on a hyperbolic lamination.
-Positive cycles and positive harmonic currents directed by a lamination.
-Ahlfors construction of positive harmonic currents.
-Cohomological and geometrical intersection of positive harmonic currents.Bibliography:
1. A. Candel, Uniformization of Surface Laminations, Ann. Sciet. Ec. Norm. Sup (1993) 489-516.
2. J.E. Fornaess and N. Sibony, Harmonic currents of finite energy and laminations, GAFA (2005) 962-1003.
3. D. Sullivan, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36 (1976) 225-255.
Real-analytic Levi-flats in complex tori●April 24 (Monday) 10:30 &ndash 12:00 Jonas Wiklund (名古屋大学 Nagoya University, JSPS fellow)
Monge-Ampére mass at the boundary on some domains with corner●April 17 (Monday) 10:30 &ndash 12:00 C. Robin Graham (University of Washington)Abstract: The Monge-Ampére operator is a highly non-linear operator that assigns a positive measure to every plurisubharmonic function and the null-measure to every maximal plurisubharmonic measure, whenever it is well defined. We discuss the sweeping out of this measure to the boundary for functions that essentially vanish on the boundary, and show two examples that this boundary measure vanish outside the distinguished boundary. Namely for analytic polyhedrons and for the cross product of two hyperconvex domains. Some related open problems are also mentioned.
Dirichlet-to-Neumann map for Poincaré-Einstein metrics●January 30 (Monday) 10:30--12:00 藤木 明 Akira Fujiki (Osaka University)Abstract: This talk will describe an analogue of a Dirichlet to Neumann map for Poincaré-Einstein metrics, also known as asymptotically hyperbolic Einstein metrics. An explicit identification of the linearization of the map at the sphere will be given for even interior dimensions, together with applications to the structure of the map near the sphere and to the positive frequency conjecture of LeBrun which was resolved by Biquard.
Compact non-kaehler threefolds associated to hyperbolic 3-manifolds●January 23 (Monday) 10:30--12:00 金子 宏 Hiroshi Kaneko (Tokyo University of Science)
Stochastic processes and Besov spaces on local field
Schroeder equation and Abel equation●December 5 (Monday) 10:30--12:00 Sebastien Boucksom(ParisVII / Univ. of Tokyo)
Positive cones of hyper-Keahler manifolds●November 21 (Monday) 10:30--12:00 Andreas Cap(Univ. of Vienna)
On CR-invariant differential operators●November 14 (Monday) 10:30--12:00 Raphael Ponge(Ohio State Univ)
Abstract: My talk will be devoted to questions about differential operators which are intrinsic to non--degenerate CR structures of hypersurface type. Restricting to the subclass of spherical CR structures, this question admits an equivalent formulation in terms of representation theory, which leads to several surprising consequences.
Guided by the ideas from representation theory and using the canonical Cartan connection which is available in this situation, one obtains a construction for a large class of such operators, which continues to work for non--spherical structures, and even for a class of almost CR structures.
In the end of the talk I will discuss joint work with V. Soucek which shows that in the integrable case many of the operators obtained in this way form complexes.
New invariants for CR and contact manifolds●November 7 (Monday) 10:30--12:00 難波誠 Makoto Namba(追手門学院大学)
Abstract: In this talk I will explain the construction of several new invariants for CR and contact manifolds as noncommutative residue traces of various geometric pseudodifferential projections. In the CR setting these operators arise from the ∂b-complex and include the Szegö projections. In the contact setting they stem from the generalized Szegö projections at arbitrary integer levels of Epstein-Melrose and from the contact complex of Rumin. In particular, we recover and extend recent results of Hirachi and Boutet de Monvel and answer a question of Fefferman.
Moduli of Galois coverings of the complex projective line●October 24 (Monday) 10:30--12:00 平地健吾 Kengo Hirachi(東大数理)
Ambient metrics for even dimensional conformal structures●October 17 (Monday) 10:30--12:00 吉川謙一 Ken-ichi Yoshikawa(東大数理)
On the discriminant of certain K3 surfaces●July 22 (Friday) 14:00--15:30 倉西正武 (コロンビア大学)
Szeg\"o kernal の構成について●July 22 (Friday) 15:40--17:10 Dan Popovici 氏 (JSPS, 名古屋大学多元数理)
Effective Local Finite Generation of Multiplier Ideal Sheaves●July 11 (Monday) 10:30--12:00 青柳 美輝 氏(上智大理工)
学習理論のゼータ関数と特異点解消
Variation of Bergman kernel of projective manifolds●June 27 (Monday) 10:30--12:00 Sebastien Boucksom(ParisVII, CNRS)
Numerical dimension of pseudo-effective line bundles and Bogomolov vanishing●June 20 (Monday) 10:30--12:00 相原義弘(沼津高専)
Uniqueness problem of analytic coverng spaces●June 6 (Monday) 10:30--12:00 大沢健夫 (名大多元数理)
Application of Hartogs type extension theorems to Levi flats in Kaehler manifolds●May 30 (Monday) 10:30--12:00 宮岡 礼子(九大数理)
全曲率有限な完備極小曲面のガウス写像の除外値について●May 23 (Monday) 10:30--12:00 赤堀 隆夫(兵庫県立大物質理学)
A-branes from CR-geometry●May 16 (Monday) 10:30--12:00 野口 潤次郎 (東大数理)
Algebraic degeneracy of holomorphic curves●May 9 (Monday) 10:30--12:00 林本 厚志(長野高専)
レビ形式が退化する、あるクラスの実超曲面の定義関数について●April 25 (Monday) 10:30--12:00 藤川 英華(東工大情報理工)
停留的写像類群とタイヒミュラー空間への作用●April 18 (Monday) 10:30--12:00 厚地 淳(慶大経済)
エネルギー有限な有理形関数の除外点の個数について●January 24 (Monday) 10:30--11:50 金子 宏 氏(東京理科大・理)
Hausdorff measure and exceptional sets in Dirichlet space theory on local fields●January 17 (Monday) 10:30--11:50 中川健治(長岡技術科学大学)
題目:複素函数論の情報ネットワーク特性評価への応用
概要:情報ネットワークの特性評価を目的として,離散型 および連続型確率変数 X の裾確率 P(X > x) の指数的 減少について調べる。特に X が連続型の場合,X の確率 分布関数 F(x) = P(X ≧ x)のLaplace-Stieltjes変換を φ(s) とし,φ(s) の収束座標を σ とする。 −∞ < σ < 0 を仮定する。φ(s) の収束軸上の 特異点が高々有限個の極のみならば P(X > x) が指数的に 減少することを示す。その解析のために Ikehara による Tauber 型定理を拡張して適用する。
A simple proof of a theorem by Uhlenbeck and Yau16:00--17:30 Min Ru (Houston)
Holomorphic curves into algebraic varieties●December 13 (Monday) 10:30--11:50 野口潤次郎 (東大数理)
題目:正則曲線、小林双曲性とアーベル多様体の川又特徴付け●December 6 (Monday) 10:30--11:50 辻 元(上智大理工)
Holomorphic curves, Kobayashi hyperbolicity and Kawamata characterization of abelian variety
題目: Logarithmic subadjunction theorem and finiteness theorems for orbifolds of general type●November 29 藤本坦孝(金沢大学名誉教授)
Finiteness of entire functions sharing a finite set●November 22 (Monday) 10:30--11:50 厚地 淳(慶応大経済)
A second main theorem for meromorphic fucntions on complete Kaehler manifolds●November 15- -19 多変数関数論の萌芽的研究 @京都大学数理解析研究所
On the singularity of Quillen metrics●October 18 (Monday) 10:30--12:00 Do Duc Thai(東大数理COE・ハノイ教育大学)
Some geometric properties of unbounded domains in complex manifolds●October 4 (Monday) 10:30--12:00 平地健吾 (東大数理)
Jet isomorphism theorems in CR and conformal geometries●July 12 (Monday) 10:30-12:00 田島慎一(新潟大工)
ネター作用素の代数解析と多変数留数計算●July 5 (Monday) 10:30--12:00 加藤昌英(上智大学)
正則写像の拡張定理とその応用●June 25 (Friday) 15:00--16:30 辻 元(上智大学)曜日と時間が異なります!
Rigidity of automorphism of projective manifolds and Shafarevich conjecture over function fields●June 21 (Monday) 10:30--12:00 篠原知子(東京都立工業高等専門学校)
Some dynamical structure at a periodic indeterminate point of rational mapping●June 14 (Monday) 10:30--12:00 倉西正武(コロンビア大学)
CR構造のCartan幾何について (On Cartan geometry of CR-structures)●June 7 (Monday) 10:30--12:00 Neil Seshadri (東大数理M2)
Volume renormalisation for complete Einstein-Kaehler metrics●May 31 (Monday) 10:30--12:00 野口潤次郎(東大数理)
準アーベル多様体での値分布と応用について (Value distribution theory on semi-abelian varieties and applications)●May 24 (Monday) 10:30--12:00 青柳美輝(上智大理工)
学習理論のゼータ関数と特異点解消;ニューラルネットワークの場合●May 17 (Monday) 10:30--12:00 尾形庄悦 (東北大学理学)
On multiplication maps of nef line bundles on toric surfaces●May 10 (Monday) 10:30--12:00 本田宣博(東工大理)
Self-dual metrics and twenty-eight bitangents●April 19 (Monday) 10:30--12:00 大内重樹 (東大数理 COE)
A union of interpolating varieties for Hörmander algebras, II●April 13 (Monday) Do Duc Thai (東大数理 COE, ハノイ教育大学)
Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables
準アーベル多様体内の正則曲線の第2主要定理-II について●January 26 (Monday) 宮地秀樹(大阪大学理)
(On the second main theorem for holomorphic curves in semi-abelian varieties-II)
On Carathéodory pseudo-distance on asymptotic Teichmüller spaces●Janurary 19 (Monday) Neil Sheshadri (東大数理 M1)
Volume renormalisation for complete Einstein Kähler metrics●December 19〜22 多変数関数論葉山シンポジウム
Iteration of birational mappings●December 1(Monday) 大内重樹(東大数理)
A union of interpolating varieties for Hörmander algebras●November 17〜20 多変数関数論の萌芽的研究 (京都大学)
Bochner-Weitzenböuck formulas and Vanishing theorems●October 27(Monday) Robin Graham (Univ. of Washington)
CR Invariant Powers of the sub-Laplacian●October 20 (Monday) 青砥禎彦 (東京工業大学大学院理工学研究科)
Complex structures of toric hyperkaehler manifolds●October 6 (Monday) 楯 辰哉(慶応大・理)
Distribution laws for integrable eigenfunctions●July 14 (Monday) 満渕俊樹 (大阪大・理)
Uniqueness of extremal Kähler metrics for a rational Kähler class●July 7 (Monday) 平地健吾(東大数理)
The volume expansions of complex domains with respect to the Bergman volume form●June 23 (Monday) 城崎 学(大阪府立大学工学部)
射影空間の一意性値域集合について●June 16 (Monday) 本多宣博(東京工業大学大学院理工学研究科)
Geometry of twistor lines●June 9 (Monday) 林本厚志(長野工業高等専門学校)
構造関数を使ったCR同値問題の解決への試み●June 2 (Monday) 伊師英之 (横浜市立大学大学院総合理学研究科)
等質 Siegel 領域の Siegel 上半平面への埋め込みについて●May 26 (Monday) 小松 玄 (大阪大・理)
ソボレフ・ベルグマン核の特異性●May 19 (Monday) 吉川謙一 (東大・数理)
Isolated critical points and adiabatic limits of Chern forms●May 12 (Monday) 小林正史(慶応大・経済)
小林計量による凸領域の特徴付けについて●April 21 (Monday) 青柳美輝 (上智大)
Dihedral singularities のArtin component とWeyl群●April 14 (Monday) 厚地 淳 (慶応大・経済)
On lemma of logarithmic derivative for δ-subharmonic functions
Holomorphic families of Riemann surfaces and uniformization of complex manifolds●January 20 (Monday) 小林亮一(名古屋大学・多元数理)
Diophantine analogue of Nevanlinna-Cartan theory and truncated counting function in Schmidt's Subspace Theorem●January 10 (Friday) 10:30--11:30 Do Duc Thai(ヴェトナム・ハノイ教育大学)
Uniqueness polynomials for entire curves into the projective complex spaces●December 20--23 多変数関数論葉山シンポジウム
On the extension of L2-holomorphic functions -- a limitting case●December 2 (Monday) 高山茂晴(九州大学・数理)
無限基本群をもつ代数多様体の多重種数について●November 25, 26 値分布論研究集会 正則写像論とその周辺
孤立特異点に付随する確定特異点型ホロノミック系について●October 28 (Monday) 足利 正(東北学院大学工学部)
Defect of local signature via stable reduction of degenerate families of Riemann surfaces●October 7 (Monday) 宮嶋 公夫(鹿児島大学理学部)
Normal isolated cone singularity の変形のCR表示●July 15 (Monday) 藤木 明(阪大・理)
Anti-self-dual structures on Inoue surfaces●June 8 (Monday) 金子 宏(東京理科大・理)
Capacities associated with Dirichlet form on an infinite extension of a local field●July 1 (Monday) 山ノ井 克俊(京大・数理研)
Small function に対する第二主要定理の証明●June 23 (Monday) 野口 潤次郎(東大・数理)
小林双曲性と有理点の分布●June 17 (Monday) 吉川 謙一(東大・数理)
Calabi-Yau hypersurfaces, Discriminants, and Quillen metrics●June 10 (Monday) 大内重樹(国際基督教大・教養)
Interpolation in pseudoconvex domains●May 27 (Monday)-- May 31 (Friday), 倉西 正武先生(コロンビア大)の集中講義
講義内容:There are deep works on the Bergman and the Szego kernels by Fefferman, Sato-Kashiwara-Komatsu-Hirachi. In this lecture we construct explicitly the singularity of Szego kernel following the line developed by Horamnder, Sjostrand, Boutet de Monvel. Main tool is the Fourier integral operators, which will be explained in the lecture. Except the elementary of toplogical vector spaces, no prerequiste is required.●May 20 (Monday) 平地 健吾(東大・数理)
Q-curvature in conformal and CR geometries●May 13 (Monday) 辻 元(東工大・理)
Pluricanonical systems of 3-folds of general type●April 22 (Monday) 大沢 健夫(名古屋大・多元数理)
Non-existence of certain Levi-flat manifolds that bound a Stein domain
多様体に対する小林・Hitchin 対応●January 21 (Monday) 清水 悟 (東北大・理)
Prolongation of holomorphic vector fields on a tube domain and its applications● December 19 (Wednesday)15:00 -- 16:30 小松 玄(大阪大学理学研究科)
ソボレフ・ベルグマン核:特異性の形●December 10 (Monday) 杉山健一(千葉大・理)
Heisenberg 代数の表現論を用いた Hodge 予想ならびに Tate 予想の 成立する例の構成●December 3 (Monday) 神本 丈(九州大・数理)
ニュートン図形とベルグマン核の特異性● November 26 (Monday) Rod Gover(Univ. Auckland)
Conformally invariant powers of the Laplacian, Q-curvature and tractor calculus● November 19 (Monday) 中田 貴洋 (名大・多元数理)
Some convexity properties of covering spaces of a pseudoconvex manifold with a positive line bundle● November 12 (Monday) Joerg Winkelmann(KIAS)
Curves in SL_2(C)/Γ●October 22 (Monday) 平地健吾 HIRACHI Kengo(東大数理)
ベルグマン核に附随するゼータ関数について●October 15 (Monday) 赤堀隆夫 AKAHORI Takao(姫路工業大学)
On the moduli space of Calabi-Yau manifolds●July 16 (Monday) 野口潤次郎 NOGUCHI Junjiro(東大数理)
第2主要定理と有理型関数のディオファントス近似ついて (Second Main Theorem and Diophantus Approximation for Meromorphic Functions)
●July 9 (Monday) 納谷 信 NAYATANI Shin(名古屋大学多元数理)
Quaternionic CR geometry
●June 25 (Monday) 高山茂晴 TAKAYAMA Shigeharu(九州大学大学院数理学研究科)
Seshadri's criterion for bigness of pseudo-effective line bundles
●June 18 (Monday) 松本和子 MATSUMOTO Kazuko(大阪女大学理学部)
On the cohomological completeness of q-complete domains with corners
●June 4 (Monday) Joerg Winkelmann, 野口潤次郎 NOGUCHI Junjiro(東大数理)
Bounds for curves in Abelian varieties
●May 28 (Monday) 松島 敏夫 MATSUSHIMA Toshio(石川工業高専)
複雑な境界挙動をとる有界正則写像について (Bounded holomorphic map with some wild boundary behavior)
●May 21 (Monday) 藤木明 FUJIKI Akira(大阪大理)
Twistor spaces and algebraic dimensions
●May 14 (Monday) 厚地 淳 ATSUJI Atsushi(慶応大経済)
A second main theorem on submanifolds in Cn
●May 7 (Monday) 相原 義弘 AIHARA Yoshihiro(沼津高専)
Examples of holomorphic curves with deficiencies
●April 23 (Monday) 林本 厚志 HAYASHIMOTO Atsushi(長野工業高専)
CR多様体の局所分解 (Local decomposition of CR manifolds)
●April 16 (Monday) 吉川 謙一 YOSHIKAWA Ken-ichi(東大数理)
The inverse of the period map for non-hyperelliptic curves of genus 3 via Schottky's modular form
●April 16 (Monday) 13:00 -- Daniel Barlet(Universite de Nancy I)
Integration on the fiber of an holomorphic function
●April 2 (Monday) F. Kutzschebauch (RIMS)
Holomorphic automorphisms of C^n
●January 29 (Monday) Steven Lu (大阪大学)
On the Tate-Shafarevich group of abelian and semiabelian fibrations
●January 22 (Monday) Alan Huckleberry (Ruhr Universitat Bochum)
On the Tate-Shafarevich group of abelian and semiabelian fibrations
●January 15 (Monday) 中田 貴洋 Takahiro Nakata(東大・数理)
被覆空間の凸性
Convexity of covering spaces
●December 11 (Monday) Bernard Shiffman (Johns Hopkins)
Random sections of ample line bundles, II
●December 4 (Monday) Bernard Shiffman (Johns Hopkins)
New constructions of hyperbolic surfaces in P^3
●November 27 (Monday) 小木曽 啓示 Keiji OGISO(東大・数理)
Picard numbers in a family of hyperK\"ahler manifolds
●November 13 (Monday) 小林亮一 Ryoichi Kobayashi(名大・多元数理)
値分布論とディオファントス近似論の類似性
Analogy between Value Distribution Theory and Diophantine Approximation
●November 6 (Monday) C. Laurent(Universite de Grenoble)
On Serre duality with support conditions and separation theorems
●October 23 (Monday) 小泉 英介 Eisuke Koizumi(東北大)
Hodograph transformations and the Chern-Moser invariants on the bounday of tube domains
●October 16 (Monday) Joerg Winkelmann(東大・数理)
Vector bundles on Complex Parallelizable Manifolds
●October 2 (Monday) Adam Harris(慶應大学)
Hartogs phenomena and the Cauchy-Riemann equation on analytic spaces
Abstract: This talk will summarise some recent results with Y.Tonegawa (Hokkaido University) concerning removable singularities for Hermitian holomorphic vector bundles over complex manifolds, and over Kahler varieties near an isolated singular point. In each case the key condition is that the Hermitian metric should have L^n curvature, where n is the complex dimension of the base space. For manifolds this condition is in fact sharp.
●July 12 (Wednesday) 高山 茂晴(九大)いつもと曜日・時間が異なります
Fanoファイバー空間に関係した基本群について
●June 26 (Monday) 金子 宏(東京理科大)
Stochastic analysis on Qp based on fragmentation of Albeverio-Karwowski random walk
●July 3 (Monday) 大内 重樹(東工大)
定数評価付きの$A_p$補間問題とその応用
●June 19 (Monday) K.-T. Kim (POSTECH)
An a priori convergence of scaling method and the Greene-Krantz conjecture
●June 12 (Monday) 松島 敏夫(石川工業高専)
ある有界正則関数の構成
●June 5 (Monday) 大沢 健夫(名大・多元数理)
複素曲線が付着する実解析的スタイン領域について
●May 29 (Monday) 倉西 正武(Columbia Univ.)
The structure of the Szego kernel
●May 21 (Monday) 野口 潤次郎(東大・数理)
Lemma on logarithmic derivatives and applications
●April 24 (Monday) 辻 元 (東工大・理)
A new intersection theory for singular hermitian line bundles
●April 17 (Monday) 平地 健吾 (東大・数理)
CR不変量の構成問題の現状について