Activity

GAIA Seminar on Complex Analytic Geometry - Inyoung Park

posted Jun 27, 2017, 12:07 AM by Hyemin Shin   [ updated Jun 27, 2017, 2:06 AM ]

- Title:Lp-regularity problem on general Hartogs triangles

- Speaker: Dr. Inyoung Park (GAIA)

- Abstract: In this talk, I study the Lp - boundedness of the Bergman projection on thin and fat Hartogs triangles given by Edholm and Mcneal [1], [2] and I will introduce some related problems.


References
1. L. D. Edholm, The Bergman kernal of fat Hartogs triangles, Thesis.
2. L. D. Edholm, J. D. Mcneal, The bergman projection on fat Hartogs triangles:Lp Boundedness,
Proc. Amer. Math. Soc. Vol. 144, No. 5 (2016)
3. D. Chakrabarti, Y. E. Zeytuncu, Lp Mapping properties of the Bergman projection on the
Hartogs triangle, Proc. Amer. Math. Soc. Vol. 144, No. 4 (2016)


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 11:00-12:30 on Wednesday, 28 June 2017


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GAIA Seminar on Complex Analytic Geometry - Sachiko Hamano

posted Jun 7, 2017, 5:56 PM by Hyemin Shin

- Title:  Variation of the moduli disk for an open Riemann surface of finite genus

- Speaker: Prof. Sachiko Hamano (Osaka City University, Japan)

- Abstract:

For an open Riemann surface R of finite genus, we shall consider conformal embeddings of R into closed ones of the same genus. The closing induces the Riemann's period matrix T. Masakazu Shiba and Hiroshi Yamaguchi recently showed that each diagonal element of T describes a close disk M in the upper half plane.

 In this talk, we shall consider the deforming open Riemann surface R(t) of finite genus with complex parameter t, and show the close relation between pseudoconvexity and the closed disk M(t) for R(t).

 This talk is based on a joint work with H.Yamaguchi.



- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 16:00-18:00 on Friday, 30 June 2017


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GAIA Seminar on Complex Analytic Geometry - Sejun Kim

posted May 25, 2017, 11:30 PM by Hyemin Shin

- Title:  Estimates of squeezing function of Thullen domain at the origin

- Speaker: Sejun Kim (POSTECH Graduate student)

- Abstract: In the paper of Deng-Guan-Zhang, they showed that there exists one-to-one function from bounded domain to unit ball which realizes squeezing function value. But for arbitrary bounded domain, founding the squeezing function value and the realizing function is very hard. In this talk, I will talk how to estimate of squeezing function of Thullen domain at the origin.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 p.m. - 10 p.m on Monday, 29 May 2017


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GAIA Seminar on Complex Analytic Geometry - Aydin Aytuna

posted Apr 12, 2017, 12:16 AM by Hyemin Shin   [ updated Apr 23, 2017, 6:14 PM ]

-  Title: Stein manifolds M for which O (M) is isomorphic as Fréchet spaces,to power series spaces

-  Speaker: Prof. Aydin Aytuna (Sabanci University)

 
- Details

Ⅰ. Nuclear Fréchet Spaces
    16:00-18:00 on Tuesday, 18 April 2017

Ⅱ. Stein manifolds M for which O(M) is isomorphic to O(∆^d)
    16:00-18:00 on Thursday, 20 April 2017

Ⅲ. Stein manifolds M for which O(M) is isomorphic to O(C^d)
    20:00-22:00 on Monday, 24 April 2017

Ⅳ. Linear continuous extension operators for analytic functions defi…ned on certain closed complex submanifolds V of a Stein manifold
      16:00-18:00 on Thursday, 27 April 2017


- Place: GAIA Seminar Room (#106, Math Science bldg.)



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GAIA Seminar on Complex Analytic Geometry - Ae-Ryeong Seo

posted Apr 11, 2017, 11:39 PM by Hyemin Shin   [ updated Apr 16, 2017, 5:45 PM ]

-  Title: A Kobayashi pseudo-distance for holomorphic bracket generating distributions

-  Speaker: Dr. Ae-Ryeong Seo (KIAS)

- Abstract: In this talk, I will generalize the Kobayashi pseudo-distance to complex manifolds which admit holomorphic bracket generating distributions. The generalization is based on Chow's theorem in sub-Riemannian geometry. For a complex homogeneous manifold with an invariant holomorphic bracket generating distribution, the universal covering of $M$ is a canonical flag domain under certain condition.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 - 10 p.m. on Wednesday, 19 April 2017
 

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GAIA Seminar on Complex Analytic Geometry - Sungmin Yoo

posted Apr 11, 2017, 5:54 PM by Hyemin Shin

- Title:  Variations of Kahler-Einstein metrics on bounded pseudoconvex domains

- Speaker: Sungmin Yoo (POSTECH Graduate student)

- Abstract: In this talk, I will talk about the results on the papers by Young-Jun Choi. The main result is (strictly) plurisubharmonicity of a family of Kahler-Einstein metrics on bounded (strongly) pseudoconvex domains in C^n.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 p.m. - 10 p.m on Monday, 17 April 2017


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GAIA Seminar on Complex Analytic Geometry - Yoshikazu Nagata

posted Mar 27, 2017, 6:18 PM by Hyemin Shin

- Title: Subharmonicity property of the Bergman kernels accociated to pseudoconvex domains

- Speaker: Dr. Yoshikazu Nagata (GAIA)

- Abstract:  We present the results based on the paper by Bo Berndtsson. The main result is plurisubharmonicity of a familly of Bergman kernels on pseudoconvex domains. This result is proved by Maitani and yamaguchi for two dimensional case and by Berndtsson for arbitrary dimensional case.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 p.m. - 10 p.m on Monday, 3 April 2017


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GAIA Seminar on Complex Analytic Geometry - Ngoc Cuong Nguyen

posted Mar 15, 2017, 7:08 PM by Hyemin Shin

-  Title: On the existence of a complete Kahler metric on non-compact complex manifolds

-  Speaker: Dr. Ngoc Cuong Nguyen (GAIA)

- Abstract: We present the results based on the paper by Cheng and Yau. The main result is the existence of a Kahler-Einstein metric on a strictly pseudoconvex bounded domain. This is proved via solving the appropriate
complex Monge-Ampere equation.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 - 10 p.m. on Monday, 20 March 2017
 

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Special Colloquium-Prof. H. Blaine Lawson

posted Mar 1, 2017, 6:57 PM by Hyemin Shin

- Title: Lagrangian Pluripotential Theory and a Lagrange Equation of Monge-Ampère Type

- Speaker: Prof. H. Blaine Lawson (Stony-Brook University, New York, U.S.A.)


- Place:  #404, Math Science bldg. POSTECH.
 
- Date: 5p.m. - 6p.m on Tuesday, 14 March 2017


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GAIA Seminar on Complex Analytic Geometry - Jihun Yum

posted Dec 11, 2016, 5:33 PM by Hyemin Shin   [ updated Dec 12, 2016, 4:22 PM ]

- Title: Invariance of the Diederich-Fornaess index under CR-diffeomorphism

- Speaker: Jihun Yum (POSTECH Graduate student)

- Abstract: This is a consecutive talk of my previous talk on October 17. We will complete the following theorem : Let M1, M2 be Stein manifolds with dimension n >= 2. Let D1, D2 be relatively compact domains in M1, M2 with connected C^k (k >= 2) smooth boundaries. If the boundary of D1 and D2 are CR-diffeomorphic, then the Diederich-Fornaess indices of D1 and D2 are same.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 p.m. - 10 p.m on Monday, 19 December 2016


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