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Organizers
Sang-il Oum
***** Intensive lecture series *****
DATE: June 25 - 29
TIME: 10:30AM-12PM, 2:30PM-4PM
PLACE: E6-1, ROOM 3434
SPEAKER: Jaehoon Kim (김재훈), School of Mathematics, Birmingham
University, Birmingham, UK
TITLE: A course in graph embedding
http://mathsci.kaist.ac.kr/~sangil/seminar/2018-06-25/
In this lecture, we aim to learn several techniques to find sufficient
conditions on a dense graph G to contain a sparse graph H as a
subgraph.
Tentative plan for the course (June 25, 26, 27, 28, 29)
Lecture 1 : Basic probabilistic methods
Lecture 2 : Extremal number of graphs
Lecture 3 : Extremal number of even cycles
Lecture 4 : Dependent random choice
Lecture 5 : The regularity lemma and its applications
Lecture 6 : Embedding large graphs
Lecture 7 : The blow-up lemma and its applications I
Lecture 8 : The blow-up lemma and its applications II
Lecture 9 : The absorbing method I
Lecture 10 : The absorbing method II
Other upcoming events:
1. June 26: Jinyoung Park, "Coloring hypercube"
2. July 18-20: Ron Aharoni, "Lectures on topological methods in combinatorics"
Main lecturers (3 hours)
Vera Mikyoung Hur (UIUC)
Juhi Jang (Univ. Southern California)
Kenji Nakanishi (RIMS)
1 hour lecturers
Myeongju Chae (Hankyong National Univ.)
Yonggeun Cho (Chun Buk National Univ.)
Tatsuo Iguchi (Keio Univ.)
Donghyun Lee (Postech)
http://mathsci.kaist.ac.kr/~soonsikk/participating-school/2018-kaix-summer-school-in-pde/‣ Speaker (강연자 성명): 김순영(서강대), 김호성(KIAS), 이광우(GIST), 이철규(KIAS), 정기룡(경북대), 정승조(KIAS)
‣ Organizers: 김인균(SNU), 신용주(KAIST), 윤영호(SNU)
‣ 학회 Homepage: https://sites.google.com/view/agin1n2d
https://sites.google.com/view/agin1n2d
자연과학동(E6-1) Room 4415
7/10(화) ~7/12(목) Intensive Lectures on Moduli of differentials
************Intensive Lectures****************
15:00-16:00 in July 10 (Tue)
16:30-17:30 in July 10 (Tue)
15:00-16:00 in July 11 (Wed)
16:30-17:30 in July 11 (Wed)
10:30-11:30 in July 12 (Thur)
PLACE: E6-1, ROOM 4415
SPEAKER: Dawei Chen (Boston College)
TITLE: Moduli of differentials
Abstract:
An Abelian differential defines a flat metric such that the underlying Riemann surface can be realized as a polygon whose edges are pairwise identified via translation. Varying the shape of such polygons induces a GL(2,R)-action on the moduli space of Abelian differentials, called Teichmueller dynamics, whose study has provided fascinating results and opened new avenues to many fields in mathematics. In the first lecture I will give an accessible introduction to this subject, with a focus on its connections to billiard dynamics, enumerative geometry, and arithmetic geometry. In the remaining lectures I will explain how to use techniques in algebraic geometry to study various problems in Teichmueller dynamics, including compactification, birational geometry, cycle class computation, etc. A number of recent developments and open problems will be mentioned.
Room 3434, Bldg. E6-1
(Intensive Lecture Series) Ron Aharoni, Lectures on topological methods in combinatorics
Organizers
Andreas Holmsen
Department of Mathematics, Technion, Israel
The lectures will give an introduction to the application of topological methods in matching theory, graph theory, and combinatorics.
Topics that will be covered:
– A topological extension of Hall’s theorem
– combinatorial applications of the nerve theorem
– d-Leray complexes and rainbow matchings
– Matroid complexes and applications
– Open problems
Organizers
Paul Jung, Ji Oon Lee
KAIST Summer School in Probability 2018 will be held as follows:
Dates: July 31-Aug 3
Place: Industrial Engineering and Management Building (E2) Room 1225,
KAIST, Daejeon, Korea
Registration is now closed
Principal lecturers and lecture topics
Oren Louidor (Technion)
Topic: Extreme and large values of the discrete Gaussian free field
Tadahisa Funaki (U. of Tokyo and Waseda Univ.).
Topic: Hydrodynamic limit for exclusion processes
https://sites.google.com/view/kaistsummerschoolinprobability/2018Organizers
Refer to
https://sites.google.com/site/llc2018kk/
Speakers:Kwangho Choiy (Southern Illinois University), Yeansu Kim (Chonnam National University)
https://sites.google.com/site/llc2018kk/
산업경영학동(E2) Room 3221
The 6 th KAIST-Fudan Workshop on Analysis and Applied Mathematics
Organizers
Prof. Yongnam Lee (KAIST), Prof. Ganguk Hwang (KAIST)
Variational Shape Prior Segmentation With an Initial Curve Based on Image Registration Technique Prof. Chang-Ock Lee (KAIST) |
The constructive role of randomly temporal connections in complex dynamical networks Prof. Wei Lin (Fudan Univ.) |
Stochastic Modeling and Analysis of Energy Trading System in Microgrids with Future Forecasting and Forecasting Errors Prof. Ganguk Hwang (KAIST) |
Aubry-Mather and weak KAM theories for contact Hamiltonian systems Prof. Jun Yan (Fudan Univ.) |
Series solution method to the conductivity interface problem based on the geometric function theory and its applications to the composite material properties Prof. Mikyoung LIm (KAIST) |
Jacobi-Like Algorithm for Bethe-Salpeter Eigenvalue Problem Prof. Weiguo Gao (Fudan Univ.) |
Scattering of the defocusing generalized Benjamin-Ono equations Prof. Soonsik Kwon(KAIST) |
Nonparametric Bayesian multivariate meta-regression with functional meta-predictors: an application in environmental epidemiology Prof. Yeonseung Chung (KAIST) |
The Mathematical Modeling Activities for High School Students in China Dr. Liqiang Lu (Fudan Univ.) |
Beyond the century of the Michales-Menten equation for the accurate estimation of drug clearance Prof. Jaekyoung Kim (KAIST) |
E6, Rm 2411
PDE WORKSHOP
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권순식
1:30 최영필 (인하대)
Global existence of weak solutions for Navier-Stokes-BGK system
2:30 문상혁 (카이스트)
A pattern formation from an elliptic Neumann system with a large mixed interaction
3:30 곽철광 (Pontificia Universidad Católica de Chile)
Well-posedness issues of some dispersive equations under the periodic boundary condition
4:30 황경하 (영남대)
Existence and symmetric properties of solutions to the Neumann problem of Hardy-Sobolev equation with Hardy potential
E6-1, 1401(Choi, Seok-Jeong Lecture Room), KAIST
2018 KAIST-HKUST-NUS Joint Workshop in Mathematics : Analysis, PDE and Probability
15 November(Thursday)
14:00 Opening address
14:20-15:10 Lee, Ji-Oon : Weak detection of signal in the spiked Wigner model
15:20-16:10 Jin, Tianling : On the isoperimetric ratio over scalar-flat conformal classes
16:20-17:10 Sun, Rongfeng : Moment Asymptotics for the (2+1)-dimensional Directed Polymer in the Critical Window
16 November(Friday)
09:30-10:20 Li, Dong : Existence of nontrivial steady states for nonlocal models
10:30-11:20 An, Xinliang : Emergence of Black Holes in General Relativity
11:30-12:20 Jung, Paul : Levy-Khintchine Random Matrices
17 November(Saturday)
09:30-10:20 Yu, Shih-Hsien : Green's functions and Well-posedness of Compressible Navier-Stokes equation
10:30-11:20 Kwon, Soonsik : Scattering of the defocusing generalized Benjamin-Ono equations.
11:30-12:20 Bao, Zhigang : Local single ring theorem on optimal scale
1401 (E6-1)
Number Theory/Topology Mini Workshop
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Bo-Hae Im, Hyungryul Baik
You can find the program with abstracts via the following link:
자연과학동(E6) Room 1401
1월 16일(수)-1월 24일(목), Intensive Lectures on Algebraic Geometry by Prof. Y. Kawamata
Intensive Lecures on Semi-orthogonal decomposition of a derived category of an algebraic variety
Prof. Yujiro Kawamata (University of Tokyo)
16:00-17:15 in Jan. 16, 18, 22, 24, Room 1401
Abstarct.
I will start with the definition of a derived category of an algebraic variety. The derived category contains much essential information of the algebraic variety.
Then I consider a decomposition of the derived category into simpler components called a semi-orthogonal decomposition (SOD) and explain examples.
I will explain SOD’s related to the minimal model program in birational geometry. Some SOD’s are obtained by looking at so-called exceptional objects
or their deformed variants called relative exceptional objects. I will explain examples of SOD’s for some singular surfaces.
References
E6-1, seminar room 4415
Mini-workshop on Variational Methods for Elliptic PDE.
Schedule
14:00-14:50 Vitaly Moroz (Swansea University)
Ground-states of a Schrödinger-Poisson-Slater type equation Abstract: Schrödinger-Poisson-Slater equation is a nonlinear modification of Schrödinger equation with a repulsive nonlocal Coulomb potential and a local nonlinearity. We develop a variational framework for a class of Schrödinger-Poisson-Slater type equations and discuss existence, positivity and radial symmetry of ground state solutions
15:00-15:50 Jongmin Han (Kyung Hee University)
On the self-dual Einstein-Maxwell-Higgs equation on compact surfaces
Abstract: In this talk, we discuss recent progress on the study of the self-dual Einstein-Maxwell-Higgs equation on compact surfaces. We give a brief background on the equation and known results on the plane. The main topics are two theorems on the existence of topological and nontopological type solutions as the coupling parameter tends to be zero.
16:00-16:50 Jinmyoung Seok (Kyonggi University)
Existence criterion for standing waves to pseudo-relativistic nonlinear Schrodinger equations
Abstract : The pseudo-relativistic Schrodinger operator is defined by the square root of the elliptic operator , that arises when we consider a relativistic versions of quantum mechanics. Especially, it is used for describing spin zero particles as is Klein-Gordon operator. In this talk, I will present an almost complete existence criterion for standing waves to the pseudo-relativistic nonlinear Schrodinger equations, which exhibit an intermediate features between nonrelativistic nonlinear Schrodinger equations and nonlinear half wave equations.
We will see that this criterion depends on the quantity , not only on n and nonlinear exponent p, where denotes the frequency of standing wave . Due to the supercriticality of the equation, the standard variational method does not seem to work although the equation enjoys a variational structure. Instead, we approach by adopting the contraction mapping principle. It turns out that a uniform L^p estimate for the pseudo-relativistic operator plays a crucial role for obtaining the existence of solutions in the full range of supercritical exponent p. This shall be obtained by the Hörmander-Mikhlin Theorem based on a symbol analysis of the pseudo-relativistic operator.
Organizers
Sang-il Oum, Younjin Kim
Invited Speakers
Jeong Han Kim (김정한), KIAS, SeoulMartin Balko, Charles University, Prague
Dániel Gerbner, Alfréd Rényi Institute of Mathematics, Budapest
Cory T. Palmer, University of Montana, Missoula
Boram Park (박보람), Ajou University
Dong Yeap Kang (강동엽), KAIST
Schedule
Feb. 11, 2019, Monday
1:30pm-2:20pm Jeong Han Kim: Entropy and sorting
2:20pm-3:10pm Cory T. Palmer: Generalized Turán problems – Berge hypergraphs
Coffee Break
4:00pm-4:50pm Martin Balko: Ramsey numbers of edge-ordered graphs
4:50pm-5:40pm Dong Yeap Kang: T.B.A.
Banquet
Feb. 12, 2019, Tuesday
9:30am-10:20am Boram Park: Sum-free set problem on integers
Coffee Break
11:00am-11:50am Dániel Gerbner: Generalized Turán problems – counting subgraphs
Lunch
We plan to provide meals to all participants and provide a room at a near-by hotel for invited speakers and selected participants. Please register in the following form below by January 28, Monday; please register early if you want to receive the support for the accommodation.
https://dimag.ibs.re.kr/event/2019-1-graph-theory/
자연과학동 2411호
Workshop on analysis of nonlinear waves
Organizers
권순식
March 7
15:00 Conserved energies for NLS, KdV and Gross-
Pitaevskii (Herbert Koch)
16:10 TBA (Yonggeun Cho)
March 8
9:30 Conserved energies for NLS, KdV and Gross-
Pitaevskii (Herbert Koch)
11:00 Scattering of the defocusing generalized
Benjamin-Ono equations (Kiyhun Kim)
14:00 Conserved energies for NLS, KdV and Gross-
Pitaevskii. (Herbert Koch)
15:30 Ill-posedness of the Hall-MHD equations without
resistivity (In-Jee Jung)
16:40 Well-posedness of the Hall-MHD equations
without resistivity (Sung-Jin Oh)
자연과학동(E6-1) 1층 공동강의실 (1501호)
수리과학 기반 인공지능 및 빅데이터 산학연 포럼
14:00 ~ 14:30 최우성 박사 (한국전력공사)
PHM(Prognostics and Health Management) 분야에서의 베이지안 및 딥러닝 활용 사례
14:45 ~ 15:15 김재덕 박사 (삼성전자)
Towards Practicality: Theorems should not limit practicality
15:15 ~ 16:00 자유토론 및 티타임
16:00 ~ 16:30 유용균 박사 (한국원자력연구원)
최적설계 분야의 딥러닝 응용
16:45 ~ 17:15 조현제 박사 (삼성전자)
기업 관점에서의 자동화된 데이터 분석 시스템
17:15 ~ 18:00 자유토론 및 티타임
E6-1, 1401호 (오후 3시 - 5시)
KAIX LECTURE SERIES
시간 : 2019년 6월 24일 -28일 오후 3-5시
강연 내용 :
1. 평균 곡률 흐름의 소개 : 역사와 의의 소개, 특이점에 관한 주요 연구의 흐름 논의.기하학적 측도 이론/미분기하/조화 해석/함수 해석/편미분방정식/최소-최대 이론/동역학계 등이 어떻게 활용되는지 간략하게 소개.
2. 평균 곡률 흐름의 편미분방정식 : 평균 곡률 흐름이 편미분방정식 유도. 평균 곡률 흐름의 닫힌 자기동형해의 미분방정식 소개
3. 볼록하고 닫힌 평균 곡률 흐름의 특이점 : Huisken density 소개, 제 1형 특이점을 분석. Stampacchia(de Giorgi) iteration과 제 2형 특이점의 분석 소개.
4. 기울기 흐름으로서의 평균 곡률 흐름 : 평균 곡률 흐름이 Huisken density의 기울기 흐름임을 설명. 최소 곡면의 고립된 특이점과 기울기 흐름의 관계를 소개, 관련 특이점 연구들에 대해 논의. Huisken density를 이용한 엔트로피를 정의하고, 닫힌 곡면의 최소 엔트로피에 대해 논의.
5. 평균 곡률 흐름의 고대 해 : 고대 해, 접촉 해, 극한 해 등을 정의하고, 특이점 연구에의 응용을 소개. 닫힌 리찌 흐름과 평균 곡률 흐름의 붕괴를 정의하고, 붕괴하는 않는 해의 특이점에 대해 논의. 비붕괴성이나 작은 엔트로피가 극한 해의 점근 해를 결정함을 보이고, 기울기 흐름으로서 점근 해가 고정 됨을 논의. 결정된 점근 해 위에서 간단한 조화 해석학과 동역학계를 이용하여 극한 해를 분석하여 분류.
References
0. Xi-Ping Zhu, Lecture Notes on Mean Curvature Flows, AMS/IP
1. T. Colding and W. Minicozzi. Generic mean curvature flow I; generic singularities. Ann. of Math. (2), 175(2):755{833, 2012.
2. T. Colding and W. Minicozzi. Uniqueness of blowups and Lojasiewicz inequalities.
Ann. of Math. (2), 182(1):221{285, 2015.
3. J. Bernstein and L. Wang. A topological property of asymptotically conical
self-shrinkers of small entropy. Duke Math. J 166(3):403{435, 2017.
4. B. White. The size of the singular set in mean curvature flow of mean convex sets. J. Amer. Math. Soc. 13(3):665{695, 2000.
5. B. White. A local regularity theorem for mean curvature flow. Ann. of Math. (2), 161(3):1487-1519, 2005
6. X. Wang. Convex solutions to the mean curvature flow. Ann. of Math. (2), 173(3):1185{1239, 2011
7. S. Angenent, P. Daskalopoulos, and N. Sesum. Unique asymptotics of ancient convex mean curvature flow solutions. arXiv:1503.01178, 2015
8. S. Brendle and K. Choi. Uniqueness of convex ancient solutions to mean curvature flow in R3. arXiv:1711.00823v2, 2017
9. K. Choi, R. Haslhofer, and O. Hershkovits, Ancient low entropy flows, mean convex neighborhoods, and uniqueness, arXiv:1810.08467, 2018.
10. O. Chodosh and F. Schulze, Uniqueness of asymptotically conical tangent flows, arXiv:1901.06369, 2019.
11. J. Bernstein and L. Wang, A sharp lower bound for the entropy of closed hypersurfaces up to dimension 6, Invent. Math. 206
12. S. Brendle, Embedded self-similar shrinkers of genus 0, Ann. of Math. (2) 183 (2016), no. 2, 715–728.
13. L. Wang, Uniqueness of self-similar shrinkers with asymptotically conical ends, J. Amer. Math. Soc. 27 (2014), 613-638.
14. L. Wang, Asymptotic structure of self-shrinkers, https://arxiv.org/abs/1610.04904 (2016).