Activity

GAIA Seminar on Complex Analytic Geometry - Aydin Aytuna

posted Apr 12, 2017, 12:16 AM by Hyemin Shin

-  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


- 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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GAIA Seminar on Complex Analytic Geometry - Prof. Kang-Tae Kim

posted Dec 6, 2016, 6:52 PM by Hyemin Shin

- Title: On and around the squeezing function---a survey

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

- Abstract: The concept of squeezing function has been one of the hot new themes of research in these days. It came out of the geometric condition for the partial differential equations (by Cheng and Yau in the late 1980s) and became formalized by others very recently (2004, 2005, 2008, 2016...). We in GAIA as well as colleague(s) in Wuppertal have produced some and now it is catching a "fire" in the hands of Fornaess, Diederich, Wold and others in Europe. At this stage, I would like to give an overview, possibly with some good problems towards our research. This talk should be understandable to graduate students who understand basics of differential geometry and complex analysis.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 p.m. - 10 p.m on Monday, 12 December 2016


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GAIA Seminar on Complex Analytic Geometry - 전상학

posted Nov 24, 2016, 10:12 PM by Hyemin Shin   [ updated Dec 5, 2016, 12:30 AM ]

-  Title: Honor Thesis on Classical Nevanlinna Theory

-  Speaker: 전상학 (POSTECH Undergraduate student)

-  Abstract: He has learned this topic throughout the semester and now he presents the result of his study as part of the oral defense. He shall introduce the outline of the Nevanlinna theory that concerns the equation f(z)=c for the generic complex values for c where f is a complex analytic function of a single variable z. Along the way he shall discuss variations and further developments beyond the most basic theorems. Seminar will be presented in Korean. (Written by K.-T. Kim, the advisor of this thesis work).

- Place: #404, Math Science bldg.
 
- Date: 16:30 on Thursday, 8 December 2016
 

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GAIA Seminar on Complex Analytic Geometry - Ngoc Cuong Nguyen

posted Nov 24, 2016, 10:10 PM by Hyemin Shin

-  Title: Weak solutions of complex Hessian equations on compact Hermitian manifolds

-  Speaker: Dr. Ngoc Cuong Nguyen (GAIA)

- Abstract: This is a joint work with Slawomir Kolodziej. We prove the existence of weak solutions of complex m-Hessian equations on compact Hermitian manifolds for the nonnegative right hand side belonging to L^p, with p>n/m, (n is the dimension of the manifold). For smooth, positive data the equation has been recently solved by Szekelyhidi and Zhang. We also give a stability result for such solutions.


- Place: GAIA Seminar Room (#106, Math Science bldg.)
 
- Date: 8 - 10 p.m. on Monday, 5 December 2016
 

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