Seminar on Geometric Complex Analysis

Seminar information archive ~09/24Next seminarFuture seminars 09/25~

Date, time & place Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kengo Hirachi, Shigeharu Takayama, Ryosuke Nomura

Seminar information archive

2005/12/05

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Sebastien Boucksom (ParisVII / Univ. of Tokyo)
Positive cones of hyper-Keahler manifold

2005/11/28

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
上田哲生 (京都大学)
Schroeder equation and Abel equation

2005/11/21

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Andreas Cap (Univ. of Vienna)
On CR-invariant differential operators
[ 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.

2005/11/14

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Raphael Pong (Ohio State Univ)
New invariants for CR and contact manifolds
[ 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.

2005/11/07

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
難波誠 (追手門学院大学)
Moduli of Galois coverings of the complex projective line

2005/10/24

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
平地健吾 (東大数理)
Ambient metrics for even dimensional conformal structures

2005/10/17

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
吉川謙一 (東大数理)
On the discriminant of certain K3 surfaces

2005/07/22

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
倉西正武 (コロンビア大学)
Szegö kernel の構成について

2005/07/22

15:30-17:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Dan Popovici (JSPS, 名古屋大学多元数理)
Effective Local Finite Generation of Multiplier Ideal Sheaves

2005/07/11

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
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

2005/07/04

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
辻 元 (上智大理工)
Variation of Bergman kernel of projective manifolds

2005/06/27

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
相原義弘 (沼津高専)
Uniqueness problem of analytic coverng spaces

2005/06/06

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
大沢健夫 (名大多元数理)
Application of Hartogs type extension theorems to Levi flats in Kaehler manifolds

2005/05/30

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
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

2005/05/23

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
赤堀隆夫 (兵庫県立大物質理学)
A-branes from CR-geometry

2005/05/16

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
野口潤次郎 (東大数理)
Algebraic degeneracy of holomorphic curves

2005/05/09

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
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

2005/04/25

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
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

2005/04/18

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
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

2005/01/24

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
金子 宏 (東京理科大)
Hausdorff measure and exceptional sets in Dirichlet space theory on local fields

2005/01/17

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
中川健治 (長岡技術科学大学)
複素函数論の情報ネットワーク特性評価への応用
[ Abstract ]
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。

2004/12/17

10:30-12:00   Room #126 (Graduate School of Math. Sci. Bldg.)
D. Popovici (Warwick)
A simple proof of a theorem by Uhlenbeck and Yau

2004/12/17

10:30-12:00   Room #126 (Graduate School of Math. Sci. Bldg.)
Min Ru (Houston)
Holomorphic curves into algebraic varieties

2004/12/13

10:30-12:00   Room #126 (Graduate School of Math. Sci. Bldg.)
野口潤次郎 (東大数理)
正則曲線、小林双曲性とアーベル多様体の川又特徴付け

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