Activity
GAIA Seminar on complex Analytic Geometry_Prof. KangTae Kim
 Title: Multidimensional Complex Analysis through
Geometry; an Introduction ^{}  Speaker: Prof. KangTae 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

GAIA Seminar on complex Analytic Geometry_Dr. Ngoc Cuong Nguyen
 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 quasiplurisubharmonic solution to the Monge Ampère equation if and only if it is dominated locally by MongeAmpere 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 ^{} Poster < click 
GAIA Seminar on complex Analytic Geometry_Dr. Seungro Joo
 Title: Compactness of certain families of pseudoholomorphic mapping into C^{n}
 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
pseudoholomorphic mapping into C^{n}, Int.J.Math. 15(1) (2004), 112
 Place: GAIA Seminar Room (#106, Math Science bldg.)
 Date: 8 p.m.  10 p.m on Monday, 18 september 2017 ^{ }
Poster < click 
GAIA Seminar on complex Analytic Geometry_Prof. KangTae Kim
 Title: On the squeezing function for Pseudoconvex domain in C^n  Speaker: Prof. KangTae 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.) 
GAIA Seminar on Complex Analytic Geometry  Inyoung Park
 Title:Lpregularity
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  Place: GAIA Seminar Room (#106, Math Science bldg.) 
GAIA Seminar on Complex Analytic Geometry  Sachiko Hamano
 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.) 
GAIA Seminar on Complex Analytic Geometry  Sejun Kim
 Title: Estimates of squeezing function of Thullen domain at
the origin  Speaker: Sejun Kim (POSTECH Graduate student)  Abstract: In the paper of DengGuanZhang, they
showed that there exists onetoone 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.) 
GAIA Seminar on Complex Analytic Geometry  Aydin Aytuna
 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 16:0018:00 on Tuesday, 18 April 2017 Ⅱ. Stein manifolds M for which O(M) is isomorphic to O(∆^d) 16:0018:00 on Thursday, 20 April 2017 Ⅲ. Stein manifolds M for which O(M) is isomorphic to O(C^d) 20:0022:00 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 16:0018:00 on Thursday, 27 April 2017  Place: GAIA Seminar Room (#106, Math Science bldg.) 
GAIA Seminar on Complex Analytic Geometry  AeRyeong Seo
 Title: A Kobayashi pseudodistance for holomorphic bracket generating distributions  Speaker: Dr. AeRyeong Seo (KIAS)  Abstract: In this talk, I will generalize the Kobayashi pseudodistance to complex manifolds which admit holomorphic bracket generating distributions. The generalization is based on Chow's theorem in subRiemannian 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.) 
GAIA Seminar on Complex Analytic Geometry  Sungmin Yoo
 Title: Variations of KahlerEinstein 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 YoungJun Choi. The main result is (strictly) plurisubharmonicity of a family of KahlerEinstein metrics on bounded (strongly) pseudoconvex domains in C^n.  Place: GAIA Seminar Room (#106, Math Science bldg.) 