학술회의 및 워크샵

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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

1. Gelfand-Manin: Methods of Homological Algebra, Springer, 2003.
2. Kawamata: Birational geometry and derived categories.  Surveys in Differential Geometry, Vol. 22, No. 1 (2017), pp. 291--317.  ArXiv:1710.07370.
3. Karmazyn-Kuznetsov-Shinder: Derived categories of singular surfaces. ArXiv:1809.10628.
2018-12-24 15:38:56

The purpose of the conference is to help promoting the academic exchange and the friendship among researchers of three East Asian countries in the area of knot theory and related topics and encouraging graduate students of the three countries to study in this fascinating area of mathematics. 

https://sites.google.com/site/knotschool2018/index
2018-01-24 13:45:31

KSIAM 2018 Spring Conference


SCHEDULE
▶ Opening Ceremony : May 25, 13:00-13:20 [E11 203]
- Jung, Eunok (President of KSIAM)
- Kim, Sang Kyu (Dean, College of Natural Sciences, KAIST)
▶ Invited Talks
   ○ Sung, Hyung Jin (KAIST)
- Title : Logarithmic Behavior of Wall-attached Structures in a Turbulent Boundary Layer
- May 25, 13:20-14:10 [E11 203]
   ○ Hiroshi Kokubu (Kyoto University)
- Title : Computer-assisted approach to the global dynamics of multi-parameter systems
- May 25, 16:00-16:50 [E11 203]
   ○ Ha, Seung Yeal (Seoul National University)
- Title : A panoramic view of the collective dynamics
- May 26, 9:00-9:50 [E11 203]
▶ Poster Session : May 26, 10:00-10:40 [E11 1st floor]
▶ KSIAM Young Researcher Paper Award: May 25, 17:00-17:25 [E11 203]
▶ KSIAM Journal Excellent Article Award: May 25, 17:25-17:50 [E11 203]
▶ Special Sessions
○ Applications of Computational Structures
○ CJK-SIAM Joint Special Session: Mathematical Material Science I
○ CJK-SIAM Joint Special Session: Cryptology
○ Mathematical Biology I: Data analysis
○ MathWorks Special Session
○ Engineering Optimization Using CFD
○ CJK-SIAM Joint Special Session: Mathematical Material Science II
○ Applied Algebra and Geometry
○ Mathematical Biology II: Population dynamics
○ Stochastic Modeling and Analysis
○ Mathematical Modeling and Algorithms in Finance
- May 25, 14:20-15:40 [E11 203]
- May 25, 14:20-15:40 [E11 206]
- May 25, 14:20-15:40 [E11 207]
- May 25, 14:20-15:40 [E11 208]
- May 25, 14:20-15:40 [E11 209]
- May 26, 10:40-12:00 [E11 203]
- May 26, 10:40-12:00 [E11 206]
- May 26, 10:40-12:00 [E11 207]
- May 26, 10:40-12:00 [E11 208]
- May 26, 13:00-14:20 [E11 207]
- May 26, 13:00-14:20 [E11 209]
▶ General Sessions
○ General Session Ⅰ
○ General Session Ⅱ
○ General Session Ⅲ
○ General Session Ⅳ
- May 26, 10:40-12:00 [E11 209]
- May 26, 13:00-14:20 [E11 203]
- May 26, 13:00-14:20 [E11 206]
- May 26, 13:00-14:20 [E11 208]
▶ Welcome Reception : May 25, 18:00-21:00 [Faculty Club]
주 관 : 한국산업응용수학회, 이화여자대학교 수리과학연구소
후 원 : KAIST 자연과학대학, MathWorks, 연세대학교 응용해석 및 계산센터

https://www.ksiam.org/conference/30558827-2b97-4be3-872e-873ee263c85b/welcome
2018-05-23 14:52:02

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"

http://mathsci.kaist.ac.kr/~sangil/seminar/2018-06-25/
2018-06-20 14:08:28
KAIST Advanced Institute for Science-X (KAIX) will host its first thematic program this summer. As a part of the program, there will be a summer school on mathematics in June. This year's theme is "Introduction to the recent developments in PDE and Topology, and their intersection." Topology session will be organized by me, and PDE session will be organized by Prof. Soonsik Kwon.
 
Topology session's title is "Topics in Geometric Group Theory".
PDE session's title is "Dynamics of Partial Differential Equations". 
 
Now here are more information about the topology session of the summer school. 
One can also take this officially as a course in summer semester of 2018; 
MAS481(25.481): Topics in Mathematics I<Topics in Geometric Group Theory>. 
http://www.hbaik.org/kaix-summer-school-2018
2018-06-22 14:18:44

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/
2018-06-20 15:50:44

‣ 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
2018-06-20 14:15:08

************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.

2018-06-21 08:14:58

Organizers

Andreas Holmsen

Lectures on topological methods in combinatorics
Ron Aharoni
Department of Mathematics, Technion, Israel
2018/7/17-19 2PM-5PM (Room 3434, Bldg. E6-1)
 

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

http://mathsci.kaist.ac.kr/~sangil/seminar/2018-07-18/
2018-07-03 14:58:39

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/2018
2018-07-31 10:41:13

Organizers

Dohoon Choi (Korea University)
Bo-Hae Im (KAIST) 

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/
2018-06-20 21:18:50

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)

2018-08-08 12:32:45

Organizers

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

2018-10-15 10:58:21

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

 

2018-11-12 08:39:36

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.

2019-01-14 12:44:19