Activity

GAIA Seminar on complex Analytic Geometry - Prof. Cho-Ho Chu

posted May 13, 2018, 6:02 PM by JAEEUN SHIN   [ updated May 13, 2018, 6:04 PM ]

Jordan Algebras and Complex Geometry


 - Place: The GAIA (Mathematical Science bldg. Room 106)
 - Date: 20:00-22:00 on Monday, 14 May 2018.
 - Speaker: Prof. Cho-Ho Chu(University of London, Queen Mary, U. K.)
 - Abstract
  This lecture will be mostly on an introduction to Jordan Algebras in relation to Symmetric Domains, at least in the first part.

  Not much background will be required for that. Then some recent topics will be discussed in the second hour.

 
Poster  <---Click here

GAIA Seminar on complex Analytic Geometry - Prof. Evgeny A. Poletsky

posted Apr 16, 2018, 11:00 PM by JAEEUN SHIN   [ updated May 22, 2018, 5:39 PM ]

Closed groups of automorphisms of 
products of hyperbolic Riemann surfaces
  
   - Place: The GAIA (Mathematical Science bldg. Room 106)
   - Date: 16:30-18:00 on Thursday, 24 May 2018.
   - Speaker: Prof. Evgeny A. Poletsky (Syracuse University)

 Fundamental group and analytic disks.
  
   - Place: The GAIA (Mathematical Science bldg. Room 106)
   - Speaker: Prof. Evgeny A. Poletsky (Syracuse University)
   - Date:  20:00-22:00 on Monday, 28 May 2018

  
   - Place: The GAIA (Mathematical Science bldg. Room 106)
   - Date:  16:30-18:00 on Thursday, 31 May 2018
   - Speaker: Prof. Evgeny A. Poletsky (Syracuse University)

Abstracts  <---Click here

GAIA Seminar on complex Analytic Geometry_Seungjae Lee

posted Mar 29, 2018, 7:42 PM by JAEEUN SHIN   [ updated Mar 29, 2018, 8:02 PM ]

New example of Hartogs type extension phenomenon


 - Place: The GAIA (Mathematical Science bldg. Room 106)
 - Date: 20:00-22:00 on Monday, 2 April 2018.
 - Speaker: Seungjae Lee (POSTECH)
 - Abstract

In this talk we study results in a paper (Arxiv : 1706.01441v2)

by Yusaka Tiba.

 Main result is : Let n 4 and let be a bounded hyperconvex domain in Cⁿ. If φ is a negative
 smooth plurisubharmonic exhaustive function on then any holomorphic function ƒ defined on
 a connected open set V which contains supp can be extended to a holomorphic function
 on Ω.

 
Poster  <---Click here

Student Seminar on complex Analytic Geometry_Mr. Yewon Cho

posted Mar 12, 2018, 6:42 PM by JAEEUN SHIN


On the Hartogs Analyticity Theorem


 - Place The GAIA (Mathematical Science bldg. Room 106)
 - Date: 16:00-18:00 on Thursday, 15 March 2018.
 - Speaker: Mr. Yewon Cho(POSTECH Grad Student)
 - Abstract
This presentation concerns the celebrated theorem of 
F. Hartogs on the continuity of separately-analytic functions.
The goal is to obtain some insights from the proof.

Poster  <---Click here

GAIA Seminar on complex Analytic Geometry_Dr. Seungro Joo

posted Mar 1, 2018, 10:09 PM by JAEEUN SHIN   [ updated Mar 11, 2018, 10:01 PM ]

On smoothly bounded domains covering finite volume manifolds


 - Place: The GAIA (Mathematical Science bldg. Room 106)
 - Date: 20:00-22:00 on Monday, 5 March  2018.
 - Speaker: Dr. Seungro Joo(GAIA)
 - Abstract
In this talk, we study a recent result of Andrew Zimmer. He proved that: if a bounded domain with C2 boundary covers a manifold which has finite volume with respect to either the Bergman volume, the Kaehler-Einstein volume, or the Kobayashi-Eisenman volume, then the domain is biholomorphic to the unit ball.

Poster  <---Click here


GAIA Seminar on complex Analytic Geometry - Prof. Nikolay Shcherbina

posted Feb 9, 2018, 1:26 AM by Jihye Jung   [ updated Feb 11, 2018, 9:35 PM ]

 
On the structure of the core for domain in Cn

 
   - Place: The GAIA (Mathematical Science bldg. Room 106
   - Date: 20:00 on Tuesday, 20 February 2018.
   - Speaker: Prof. Nikolay Shcherbina (Bergische Universität Wuppertal)

Poster  <---Click here


 

GAIA Seminar on complex Analytic Geometry_Mr.Jihun Yum

posted Jan 15, 2018, 5:48 PM by Eunyoung Choi   [ updated Jan 15, 2018, 5:48 PM ]

Diederich-Fornaess index and Steinness index.

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

- Date: 8 p.m. - 10 p.m on Monday, 22 January 2018

- SpeakerMr. Jihun Yum (POSTECH)


- Abstract: 

Let D be a bounded pseudoconvex domain in ^n with smooth boundary. Diederich-Fornaess index DF(D) is η1 iff for all η (0, η1), there exists a defining function ρ such that -(-ρ)^η is strictly plurisubharmonic on D. Steinness index S(D) is η2 iff for all η > η2, there exist a defining function ρ and a neighborhood U of ∂D such that ρ^η is strictly plurisubharmonic on (closure{D})^c ∩ U.

We will see the relation between Diederich-Fornaess index and Steinness index on smooth Worm domains.



Poster  <---Click here

GAIA Seminar on complex Analytic Geometry_Prof. Andrew Zimmer

posted Jan 1, 2018, 4:45 PM by Eunyoung Choi   [ updated Jan 1, 2018, 8:03 PM ]

The automorphism group and limit set of a bounded domain

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

- Date: 8 p.m. - 10 p.m on Monday, 8 January 2018

- SpeakerProf. Andrew Zimmer (William and Mary University)

 

- Abstract: 

For certain classes of bounded domains we give a precise description of the automorphism group and its limit set in the boundary. For instance, for finite type pseudoconvex domains we prove: if the limit set contains at least two different points, then the automorphism group has finitely many components and is the almost direct product of a compact group and connected Lie group locally isomorphic to Aut (Bk). Further, the limit set is a smooth submanifold diffeomorphic to the sphere of dimension 2k-1. For convex domains with C1,ε boundary we can prove a similar result. In this talk we will describe the main ideas of the proofs and discuss some applications.


 Poster  <---Click here

GAIA Seminar on complex Analytic Geometry_Prof. Chong-Kyu Han

posted Nov 20, 2017, 5:51 PM by Eunyoung Choi   [ updated Nov 20, 2017, 8:42 PM ]

Complex submanifolds in real hypersurfaces

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

- Date: 8 p.m. - 10 p.m on Monday, 27 November 2017

- SpeakerProf. Chong-Kyu Han (Seoul National University)

 

- Abstract: 

I will review first the Pfaffian system technique for overdetermined PDE systems, then present some applications.

An interesting feature of complex analysis of several variables is that for smoothly bounded domains in Cn

n ≥ 2, function theory of the domain depends on the geometry of its boundary. In particular, whether or not the boundary contains a complex subvariety often has to be determined, mainly because it is “characteristic” for the Cauchy-Riemann equations.

I want to present my recent results in these directions.


 Poster  <---Click here


GAIA Seminar on complex Analytic Geometry_Dr. Ngoc Cuong Nguyen

posted Nov 13, 2017, 9:36 PM by Eunyoung Choi   [ updated Nov 19, 2017, 10:50 PM ]

- Title: On the Monge-Ampère boundary measure of a bounded hyperconvex domain

- Speaker: Dr. Ngoc Coung Nguyen (GAIA)

 

- Abstract: 

We present results in a paper by Demailly. Let Ω be a bounded hyperconvex domain in Cn, i.e., it admits a negative plurisubharmonic exhaustive function. We study the properties of the "Pluricomplex Green function" of Ω, denoted by uz(ζ), which solves the Monge-Ampère equation 
 
  (ddcuz)n = 0 on Ω \ {z}, uz(ζ) ~ log|z - ζ| near z.

 

We associate to uz a measure μz supporting on ∂Ω. In general, μz is supported by the set of strictly pseudoconvex points of ∂Ω.


 

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

 

- Date: 8 p.m. - 10 p.m on Monday, 20 November 2017





Poster  <---Click here

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