Activity
GAIA Seminar on complex Analytic Geometry - Prof. Evgeny A. Poletsky
- Titles
¨ Closed groups of automorphisms of products of hyperbolic Riemann surfaces ¨ Fundamental group and
analytic disks.
- Place: The GAIA (Mathematical Science bldg. Room 106) - Date: 16:30-18:00 on Thursday, 24 May 2018. 20:00-22:00 on Monday, 28 May 2018 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
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 Ω be a bounded hyperconvex domain in Cⁿ. If φ is a negative smooth plurisubharmonic exhaustive function on Ω then any holomorphic function ƒ defined on a
connected open set V which contains supp can be extended to a holomorphic function Poster <---Click here |
Student Seminar on complex Analytic Geometry_Mr. Yewon Cho
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
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
On the structure of the core for domain in C^{n} ^{}
- 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
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 - Speaker: Mr. Jihun Yum (POSTECH) - Abstract: Let D be a bounded pseudoconvex domain in ℂ^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
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 - Speaker: Prof. 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 (B_{k}). Further, the limit set is a smooth submanifold diffeomorphic to the sphere of dimension 2k-1. For convex domains with C^{1,ε} boundary we can prove a similar result. In this talk we will describe the main ideas of the proofs and discuss some applications. |
GAIA Seminar on complex Analytic Geometry_Prof. Chong-Kyu Han
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 - Speaker: Prof. 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 C^{n}, 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. |
GAIA Seminar on complex Analytic Geometry_Dr. Ngoc Cuong Nguyen
- 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 C^{n},
i.e., it admits a negative plurisubharmonic exhaustive function. We study the
properties of the "Pluricomplex Green function" of Ω, denoted by u_{z}(ζ), which solves the Monge-Ampère
equation
(dd^{c}u_{z})^{n} = 0 on Ω \ {z}, u_{z}(ζ) ~ log|z - ζ| near z.
We associate to u_{z} a measure μ_{z}
supporting on ∂Ω. In general, μ_{z} 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 |
GAIA Seminar on complex Analytic Geometry_Prof. Kang-Tae Kim
- Title: Multidimensional complex analysis---Survey lecture III ^{} - Speaker: Prof. Kang-Tae Kim (GAIA)
- Abstract: Continuing from the lectures of the 23rd of October, I shall discuss more topics such as: (6) Extension and filling, Complex geometry vs. CR geometry (7) Approximation and polynomial convexity (8) Invariant metrics and geometric theory of holomorphic mappings - Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 8 p.m. - 10 p.m on Monday, 30 October 2017 Poster <---Click here |