 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 
 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 
 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.) 
 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.) 
 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.) 
 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.) 
 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.) 
 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.) 
 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.) 

 Title:
On the existence of a complete Kahler metric on noncompact 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 KahlerEinstein metric on a strictly pseudoconvex bounded domain. This is proved via solving the appropriate complex MongeAmpere equation.  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: Lagrangian Pluripotential Theory and a Lagrange Equation of MongeAmpère Type  Speaker: Prof. H. Blaine Lawson (StonyBrook University, New York, U.S.A.)  Place: #404, Math Science bldg. POSTECH. 
 Title: Invariance of the DiederichFornaess index under CRdiffeomorphism  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 CRdiffeomorphic, then the DiederichFornaess indices of D1 and D2 are same.  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: On and around the squeezing functiona survey  Speaker: Prof. KangTae 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.) 
 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. 
 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 mHessian 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.) 
 Title: Dirichlet
Problem for the complex Hessian equations on a Hermitian manifold
 Speaker: Dr. Ngoc Cuong Nguyen (GAIA)  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: On a problem of J. E. Fornaess  Speaker: Seungro Joo (POSTECH Graduate student)  Abstract:The squeezing function, which has various applications, is one of invariants under biholomorphic coordinate changes. For this function, Professor J. E. Fornaess proposes the following question. Q. Let $Omega$ be a bounded pseudoconvex domain with a smooth boundary. If the squeezing function S(z) > 1 as z > p for some boundary point p of $Omega$, then is p a strongly pseudoconvex point? In this talk, we answer the question, using a scaling method, for bounded pseudoconvex domains in C^2 with a smooth finite type boundary.  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: Invariance of the DiederichFornaess index under
CRdiffeomorphism  Speaker: Jihun Yum (POSTECH Graduate student)
 Abstract:We
will first introduce about the DiederichFornaess index, and known results
related to it. And then we will consider the following question: Let M1. M2 be
complex manifolds and D1, D2 be relatively compact domains in M1, M2,
respectively. If the boundary of D1 and D2 are CRdiffeomorphic, then are the
DiederichFornaess indices of D1 and D2 same?  Place: GAIA Seminar Room (#106, Math Science bldg.) 
연사: 김영욱 교수 (고려대학교, 한국수학사학회 회장)
제목: 우리
옛 수학은 어떠했는가?
시간: 10월 13일 목요일 오후 4:305:30
장소: 수리과학관 404호 Poster <click

 Title:
Analyticity of isometries of
CR invariant metrics
 Speaker: Prof. Hanjin Lee (Hadong Global University)
 Abstract: Holomorphicity of isometries of Bergman metrics and Kobayashi
metrics on pseudoconvex domains have been studied by several people. In this
talk, CR analog of this problem will be considered. In particular, isometries
of Webster metrics and Fefferman metrics on strictly pseudoconvex CR manifolds
will be considered.
 Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: Symmetrization of plurisubharmonic functions  Speaker: Dr. Ngoc Cuong Nguyen (GAIA)  Abstract: We will present a result of Berman and Berndtsson on the Schwarz symmetrization of plurisub harmonic functions. If the psh function is S^1 invariant, then the symmetrisation does not increase the MongeAmpere energy. As a consequence, one can derive the Moser Trudinger inequality for such a function.  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: On Leviflat surfaces with the given boundary  Speaker: Prof. Nikolay Shcherbina (Bergische Universität Wuppertal)  Abstract: We give an overview of known results and open questions in the problem of existence and uniqueness of Leviflat surfaces with the given boundary. Special emphasis will be made on the graph case.  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: Tilings and unfoldings  Speaker: Prof. Stefan Langerman (University of Liver de Bruxelles)  Abstract: A tiling is a covering of the plane with copies of a geometric shape(tiles) without gaps or overlaps. An unfolding is obtained by cutting along the surface of a polyhedron through all its vetices, and opening all the digedral angles between adjacent faces to obtain a single flat nonoverlapping geometric shape. In this handson talk, I will explore connections between these two fascinating concepts, in an attempt to shed some light on the following still unsolved algorithmic problem: How easy(or hard) is it to determine if a given geometric shape can tile the plane? and the following more artistic and no less fundamental problem: How to create beautiful (or even ugly) tilings?  Place: TaeJoon Park Digital Library #502  Date: 16:0017:00 on Wednesday, 28 September 2016 
 Title: On the qBremermannDirichlet problem and polynomial convexity for unbounded sets  Speaker: Dr. Thomas Pawlaschyk (Universität Wuppertal)  Abstract: Part 1: Let D be an unbounded domain in C^n and let f be a bounded continuous function on the boundary bD of D. I show that under some (strong) conditions on D we can find a unique continuous extension F of f into D which is qplurisubharmonic, (nq1)plurisuperharmonic and which is maximal in the following sense: each qplurisubharmonic function g on D with g <= f on bD satisfies g <= F on D. Part 2: I present recent results on polynomial convexity for unbounded closed sets and the relation to approximation of holomorphic functions defined on polynomially convex sets by entire ones.  Place: GAIA Seminar Room (#106, Math Science bldg.) 
 Title: Analytic techniques in algebraic geometry  Speaker: Professor Shinichi Matsumura (Tohoku University)  Abstract: In this talk, I would like to explain fundamental facts on singular Hermitian metrics and its applications to (complex) algebraic geometry. The main topic of this talk is a generalization of the Kodaira embedding theorem to big line bundles by the L^2method for the dbar equation. Furthermore, I will explain the nonample locus of big line bundles. If time permits, I will explain the proof of the invariance of plurigenera by the OhsawaTakegoshi L^2 extension theorem.  Place: GAIA Seminar Room (#106, Math Science bldg.)  Date: Lectures 1 & 2: 810 p.m. Monday, Sept 5th, 2016 Lectures 3 & 4: 810 p.m. Thursday, Sept 8th, 2016 Poster < click 