Program

March 30 Thursday

Session 1 Chairman : Soohyun Bae (Hanbat National University)

10:00-10:50 Yuki Naito, Ehime University
Separation structure of solutions for elliptic equations with exponential
nonlinearity

10:50-11:10 Break

11:10-12:00 Yasuhito Miyamoto, The University of Tokyo
A limit equation and bifurcation diagrams of semilinear elliptic
equations with general supercritical growth

12:00-14:00 Lunch
Session 2 Chairman : Yong-Hoon Lee (PNU)

14:00-14:50 Seick Kim, Yonsei Unviersity
On C1, C2, and weak type-(1; 1) estimates for linear elliptic operators

14:50-15:10 Break

15:10-16:00 Futoshi Takahashi, Osaka City University
Critical and subcritical fractional Trudinger-Moser type inequalities
on R

16:00-16:20 Break

16:20-17:10 Youngae Lee, NIMS
Degree counting for Toda system of rank two: one bubbling

18:00 Dinner

March 31 Friday

Session 1 Chairman : Ki-Ahm Lee (SNU)

09:30-10:20 Eiji Yanagida, Tokyo Institute of Technology
Extinction behavior of solutions of the logarithmic diusion equation
on R

10:20-10:40 Break

10:40-11:30 Tongkeun Chang, Yonsei Unviersity
Nonhomogeneous initial-boundary value problems of the Stokes
and the Navier-Stokes equations

11:30-11:50 Break

11:50-12:40 Toru Kan, Tokyo Institute of Technology
On the solution structure of a bistable reaction-diusion equation
on a thin dumbbell-shaped domain

12:40-14:30 Lunch

Session 2 Chairman : Jaeyoung Byeon (KAIST)

14:30-15:20 Sun-Sig Byun, SNU
Higher integrability results for a class of nonlinear elliptic and
parabolic problems

15:20-15:40 Break

15:40-16:30 Rejeb Hadiji, University Paris-Est Creteil, UPEC
Minimization of Ginzburg-Landau energy with weight

16:30-16:50 Break

16:50-17:40 Jongmin Han, Kyung Hee University
String solutions for a graviataional Ginzburg-Landau model
18:30 Banquet

April 1 Saturday

Session 1 Chairman : Yong-Jung Kim (KAIST)

10:00-10:50 Soonsik Kwon, KAIST
Orbital stability of solitary waves for derivative nonlinear Schrodinger
equations

10:50-11:10 Break

11:10-12:00 Woocheol Choi, KIAS
On the splitting method for the nonlinear Schrodinger equation
with initial data in H1

12:00-14:00 Lunch

Session 2 Chairman : Inbo Sim (University of Ulsan)

14:00-14:50 Ryuji Kajikiya, Saga University
Stability of stationary solutions for sublinear parabolic equations

14:50-15:10 Break

15:10-16:00 Namkwon Kim, Chosun University
Mixed type solutions in some Cherns-Simons gauge theory

16:00-16:20 Break

16:20-17:10 Satoshi Tanaka, Okayama University of Science
Symmetry-breaking bifurcation for the one-dimensional Henon equation

18:00 Dinner

Sponsors
KAIST BK21 Plus (Integration of Education and Research in Mathematical
Science)
PNU BK21 Plus (Center for Math Research and Education at PNU)

-Speaker: Terence Tao (UCLA)

-Date: June 15-16, 2017
-Time: 16:00 pm
-Place: Fusion Hall, KI B/D, KAIST

-Title & Abstract

[ June 15 ]

Title: The Erdős discrepancy problem
Abstract: The discrepancy of a sequence f(1), f(2), ... of numbers is defined to be the largest value of |f(d) + f(2d) + ... + f(nd)| as n,d range over the natural numbers. In the 1930s, Erdos posed the question of whether any sequence consisting only of +1 and -1 could have bounded discrepancy. In 2010, the collaborative Polymath5 project showed (among other things) that the problem could be effectively reduced to a problem involving completely multiplicative sequences. Finally, using recent breakthroughs in the asymptotics of completely multiplicative sequences by Matomaki and Radziwill, as well as a surprising application of the Shannon entropy inequalities, the Erdos discrepancy problem was solved in 2015. In this talk I will discuss this solution and its connection to the Chowla and Elliott conjectures in number theory.


[ June 16 ]
Title: Finite time blowup constructions for supercritical equations
Abstract: Many basic PDE of physical interest, such as the three-dimensional Navier-Stokes equations, are "supercritical" in that the known conserved or bounded quantities for these equations allow the nonlinear components of the PDE to dominate the linear ones at fine scales. Because of this, almost none of the known methods for establishing global regularity for such equations can work, and global regularity for Navier-Stokes in particular is a notorious open problem. We present here some ways to show that if one allows some modifications to these supercritical PDE, one can in fact construct solutions that blow up in finite time (while still obeying conservation laws such as conservation of energy). This does not directly impact the global regularity question for the unmodified equations, but it does rule out some potential approaches to establish such regularity.

-Refreshments will be provided thirty minutes before the lecture begins.

-Contact

Hyeonsu Kim

/ +82-42-350-8545

Summer School on Probabilistic Methods

Date

06/26/2017 - 06/30/2017

Location

NIMS

2017-2 CMC Foundations for Mathematical Challenges (대전 강연)


강연자: 기하서 교수 (연세대학교)

기간: 2017년 8월 27일(일) ~ 29일(화)

시간: 

27일, 28일 : 오전 10시~11시, 11시~12시

                    오후 2시~3시, 3시~4시 (4시간 강연/일)

29일: 오전 10시~11시, 11시~12시 

장소: KAIST 자연과학동 E6-1 1501호

주제: 소수정리와 리만가설

내용: 1859년 이후 리만가설은 다양한 사람들에 의해서 다양한 방법을 통하여 연구가 진행이 되어 왔는데 이번 강의에서는 본 발표자가 지난 20년간 리만가설의 완전한 해결을 위해서 시도한 방법론들을 요약해서 소개한다.

홈페이지: http://home.kias.re.kr/MKG/h/FMC2017daejeon/

Contact
김현수
/ 042-350-8545

====================================================

2017-1 CMC Foundations for Mathematical Challenges (서울 강연)

강연자: 이지운 교수 (KAIST)
기간: 2017년 8월 14일(월) ~ 18일(금)
장소: 서울 KIAS 1114 강의실(국제회의실)

주제: Random matrix theory
내용: TBA

홈페이지: http://home.kias.re.kr/MKG/h/FMC2017seoul/

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.