Activity

GAIA Seminar on complex Analytic Geometry_Prof. Kang-Tae Kim

posted Sep 25, 2017, 7:44 PM by Eunyoung Choi   [ updated Sep 25, 2017, 7:46 PM ]

- Title: Multidimensional Complex Analysis through Geometry; an Introduction

- Speaker: Prof. Kang-Tae Kim (GAIA)

 

- Abstract: 

Historians say that Riemann, holding in his hands the manuscript by Cauchy on complex analysis, said that this is the beginning of a new Mathematics. Not only did he say so, he also did not distinguish complex analysis and geometry.  But then over time, such a view was realized, analyzed and magnified by many greats including Weierstrass, Schwarz, Carathéodory, Pick, Bergman, Ahlfors, Bochner, Weil, Kodaira, Chern, Kobayashi, Wu, Greene, Griffiths, Shabat, Chirka, Yau, Siu, Fornaess, Bedford, Gunning, Kohn, and many others. Ohsawa once said (to me) that it is better to use geometry to understand Function theory (of holomorphic functions), and I strongly agreed. This interesting line of thoughts (concerning one and multidimensional complex analysis = Theory of holomorphic functions in all dimensions) may be worthy of (re)checking overall on perspective.

This lecture does not aim at the level of researchers of the field of Complex Analytic Geometry and Complex Geometric Analysis. Rather, it is for the general audience (though limited, automatically).

 

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

 

- Date: 8 p.m. - 10 p.m on Monday, 16 October 2017

                        
 

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GAIA Seminar on complex Analytic Geometry_Dr. Ngoc Cuong Nguyen

posted Sep 18, 2017, 9:20 PM by Eunyoung Choi   [ updated Sep 20, 2017, 9:42 PM ]

- Title: Hölder continuous solutions of the Monge–Ampère equation on compact Hermitian manifolds 

- Speaker: Dr. Ngoc Cuong Nguyen (GAIA)

 

- Abstract: 

This is a joint work with S. Kolodziej. We show that a positive Borel measure of finite total mass, on compact Hermitian manifolds, admits a Hölder continuous quasi-plurisubharmonic solution to the Monge Ampère equation if and only if it is dominated locally by Monge-Ampere measures of Holder continuous plurisubharmonic functions.

 

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

 

- Date: 8 p.m. - 10 p.m on Monday, 25 september 2017





 

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GAIA Seminar on complex Analytic Geometry_Dr. Seungro Joo

posted Sep 17, 2017, 9:32 PM by Eunyoung Choi   [ updated Sep 17, 2017, 9:44 PM ]

- Title: Compactness of certain families of pseudo-holomorphic mapping into Cn

 

- Speaker: Dr. Seungro Joo (POSTECH)

 

- Abstract: 

We study a concept of the convexity index, which is define in[I].

In this paper, Gaussier & Kim showed some normal family arguments for the sequence whose image has a uniform positive lower bound of the convexity index.

 

-Reference:

[I] H.Gaussier and K.T Kim, Compactness of certain families of pseudo-holomorphic mapping into Cn,
Int.J.Math. 15(1) (2004), 1-12

   

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

 

- Date: 8 p.m. - 10 p.m on Monday, 18 september 2017

 

 

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GAIA Seminar on complex Analytic Geometry_Prof. Kang-Tae Kim

posted Aug 30, 2017, 11:27 PM by Hyemin Shin

- Title: On the squeezing function for Pseudo-convex domain in C^n

- Speaker: Prof. Kang-Tae Kim(POSTECH)

- Abstract: We shall present a survey of recent results on this branch of research.  

 

     ** Nikolay Nikolov’s recent result will be presented in the last 30 minutes by Dr. Seungro Joo.



- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 p.m. - 10 p.m on Monday, 4 September 2017


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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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