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*http://www.hbaik.org/kaix-summer-school-2018*

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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.

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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

*http://mathsci.kaist.ac.kr/~sangil/seminar/2018-07-18/*

### 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*

### Organizers

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/*

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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) |

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E6, Rm 2411
PDE WORKSHOP

### 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

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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