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1501, Building E2-1, KAIST
Seoul ICM 2014 Satellite Conference on Variational Methods for Nonlinear PDEs
Organizers
Jaeyoung Byeon, Kazunaga Tanaka, Zhi-Qiang Wang
Antonio Ambrosetti (Int. School for Advanced Studies (ISAS), Italy)
Contact
Organizers
Daejeon Convention Center, Daejeon, Korea
seoul ICM 2014 Satellite conference on Algebraic and Complex Geometry
Venue Daejeon Convention Center, Daejeon, Korea
Invited Speakers
Carolina Araujo (IMPA)
Paolo Cascini (Imperial College London)
Fabrizio Catanese (Universität Bayreuth & KIAS)
François Charles (MIT)
Jungkai Chen (National Taiwan University)
Insong Choe (Konkuk University)
Gavril Farkas (Humboldt-Universität)
Tommaso de Fernex (University of Utah)
Baohua Fu (AMSS, Chinese Academy of Sciences)
Mark Gross (University of Cambridge)
Kangjin Han (KIAS)
Brendan Hassett (Rice University)
DongSeon Hwang (Ajou University)
Donghoon Hyeon (POSTECH)
Junmyeong Jang (University of Ulsan)
Young-Hoon Kiem (Seoul National University)
Bruno Klingler (Institut de Mathématiques de Jussieu)
János Kollár (Princeton University)
Shigeyuki Kondo (Nagoya University)
Sándor Kovács (University of Washington)
Yongnam Lee (KAIST)
Christian Liedtke (Technische Universität München)
Diane Maclagan (University of Warwick)
Keiji Oguiso (Osaka University & KIAS)
Mihnea Popa (University of Illinois, Chicago)
Ziv Ran (University of California, Riverside)
Frank-Olaf Schreyer (Universität des Saarlandes)
Dongsoo Shin (Chungnam National University)
Xiaotao Sun (AMSS, Chinese Academy of Sciences)
Montserrat Teixidor (Tufts University)
Claire Voisin (CNRS-École Polytechnique)Chenyang Xu (BICMR)
De-Qi Zhang (National University of Singapore)
Local Organizing Committee
JongHae Keum (Chair, KIAS)
Young-Hoon Kiem (Seoul National University)
Seonja Kim (Chungwoon University)
Sijong Kwak (KAIST)
Yongnam Lee (KAIST)
Jihun Park (IBS & POSTECH)
Arnaud Beauville (Université Nice)
Fabrizio Catanese (Universitä Bayreuth & KIAS)
David Eisenbud (MSRI)
Yujiro Kawamata (University of Tokyo)
JongHae Keum (KIAS)
János Kollár (Princeton University)
Robert Lazarsfeld (Stony Brook University)
Jun Li (Stanford University)
Eduard Looijenga (MSC Tsinghua University Beijing & University of Utrecht)
Miles Reid (University of Warwick & KIAS)
This conference is hosted by KIAS, and ASARC in KAIST.
Contact
KIAS Administrative Office
Tel. +82 2 958 2577
Email.
Daejeon Convention Center(DCC), Daejeon, Korea
(ICM 2014 Satellite conference) Topology of torus actions and applications to geometry and combinatorics
Organizers
Local Committee :
Suyoung Choi (Ajou University, Korea) Tomoo Matsumura (KAIST, Korea) Seonjeong Park (NIMS, Korea) Dong Youp Suh (KAIST, Korea)Organizers
Sang-hyun Kim (Seoul National University) : s.kim(aht)snu.ac.kr
Inkang Kim (KIAS) : inkang(aht)kias.re.kr
Ki Hyoung Ko (KAIST) : kihyoung.ko(aht)gmail.com
Seonhee Lim (Seoul National University) : slim(aht)snu.ac.kr
Theme
This conference will cover various topics in the interplays between geometric group theory and geometric structures. The topics in geometric structures will include discrete subgroups of Lie groups, hyperbolic geometry, Teichmüller theory and representation varieties. In geometric group theory, the topics will include bounded cohomology, automorphisms of free and surface groups and the structures of hyperbolic and CAT(0) groups.
Scientific Committee
Yves Benoist (Université Paris-Sud)
Mladen Bestvina (University of Utah)
Martin Bridson (Oxford)
Marc Burger (ETH)
Daryl Cooper (University of California, Santa Barbara)
William Goldman (University of Maryland)
Alessandra Iozzi (ETH)
Sadayoshi Kojima (Tokyo Tech)
Francois Labourie (Université Paris-Sud)
Yair Minsky (Yale)
Michah Sageev (Technion)
Mark Sapir (Vanderbilt)
Karen Vogtmann (Cornell)
Supported by
KAIST
Korea Institute for Advanced Study
Seoul National University
National Research Foundation of Korea
Samsung Science & Technology Foundation
1409, Building E6-1, KAIST, Daejeon, Korea
Workshop on Nonlinear Analysis and Nonlinear Elliptic PDEs
Organizers
Jaeyoung Byeon, Young-Heon Kim
Date: August 9, 11-12, 2014
Place: 1409, Building E6-1, KAIST, Daejeon, Korea
Scientific Committee: Jaeyoung Byeon, Kazunaga Tanaka, Zhi-Qiang Wang
Organizing Committee: Jaeyoung Byeon, Young-Heon Kim
Lecture Series Speakers
Alessio Figalli (U. of Texas at Austin)
Juncheng Wei (U. of British Columbia)
50 minutes Speakers
Shinji Adachi (Shizuoka U.)
Seunghyeok Kim (Pontifical Catholic U. of Chile)
Ohsang Kwon (NIMS)
Youngae Lee (National Taiwan U.)
Yohei Sato (Saitama U.)
Jinmyoung Seok (Kyong Gi U.)
Rushun Tian (AMSS)
+82. 42. 350. 8545
KAIST Industrial Engineering Building (E2-1), Room
The 4th KAIST-FUDAN Workshop on Analysis and Applied Mathematics
* Invited Speakers
Jaeyoung Byeon (KAIST)
Ganguk Hwang (KAIST)
Yong Jung Kim (KAIST)
Do Y. Kwak (KAIST)
Sijong Kwak (KAIST)
Kil H. Kwon (KAIST)
Soonsik Kwon (KAIST)
Chang-Ock Lee (KAIST)
Mikyoung Lim (KAIST)
Wenwu Gao (Fudan Univ.)
Liqiang Lu (Fudan Univ.)
Zhiqiang Wang (Fudan Univ.)
Yimin Wei (Fudan Univ.)
Hao Wu (Fudan Univ.)
Zongmin Wu (Fudan Univ.)
Pengpeng Xie (Fudan Univ.)
Yunxin Zhang (Fudan Univ.)
Yi Zhou (Fudan Univ.)
KAIST 자연과학동 (E6), Room 1409
Workshop on Harmonic analysis and Partial differential equations
Organizers
Objectives
Harmonic analysis and partial differential equations have been closely linked areas in recent decades, with ideas flowing back and forth and stimulating progress in both areas. This workshop will bring together researchers in these two fields in east asia, some who have worked in both fields and some who have specialized in one field but are interested in learning more about the other. The aim is to strengthen existing links between the areas and encourage communication between researchers in both fields.
Invited speakers
Hantaek Bae (UNIST), Myeongju Chae (Hankyung National University)
Zihua Guo (Peking University), Seheon Ham (KIAS)
Hyungjin Huh (Choongang University), Gyeongha Hwang (UNIST)
Bongsuk Kwon (UNIST), Satoshi Masaki (Hiroshima University)
Tetsu Mizumachi (Kyushu University), Yoshio Tsutsumi (Kyoto University)
Objectives
Harmonic analysis and partial differential equations have been closely linked areas in recent decades, with ideas flowing back and forth and stimulating progress in both areas. This workshop will bring together researchers in these two fields in east asia, some who have worked in both fields and some who have specialized in one field but are interested in learning more about the other. The aim is to strengthen existing links between the areas and encourage communication between researchers in both fields.
Invited speakers
Hantaek Bae (UNIST), Myeongju Chae (Hankyung National University)
Zihua Guo (Peking University), Seheon Ham (KIAS)
Hyungjin Huh (Choongang University), Gyeongha Hwang (UNIST)
Bongsuk Kwon (UNIST), Satoshi Masaki (Hiroshima University)
Tetsu Mizumachi (Kyushu University), Yoshio Tsutsumi (Kyoto University)
1409, Building E6-1, KAIST, Daejeon, Korea
KAIST CMC PDE/역문제 워크샵
Organizers
권순식, 변재형, 임미경
자세한 사항은 링크(http://home.kias.re.kr/MKG/h/KCMCPDE2014/)
또는 첨부파일(포스터, 스케줄, Title&Abstract)을 참고하여 주시기 바랍니다.
KAIST CMC PDE/역문제 워크샵
December 5-6, 2014
1409, E6-1, KAIST, Daejeon
Invited Speakers
강현배 (인하대학교)
권오상 (NIMS)
김성환 (한밭대학교)
박원광 (국민대학교)
윤석배 (성균관대학교)
이옥균 (KAIST)
전기완 (NIMS)
정소연 (KIAS)
정재우 (KAIST)
정재환 (단국대학교)
최선호 (KAIST)
하승렬 (서울대학교)
황형주 (POSTECH)
Contact
+82.42.350.8545
Organizers
Younjin Kim, Sang-il Oum
Paul Seymour (Princeton U.) and Maria Chudnovsky (Columbia U.) will give an inaugral "KAIST CMC Intensive Lectures" on Dec 11 and 12. To complement their lectures, we would like to have a workshop for discrete mathematics such as graph theory in Korea to share recent research progress as well as attend their lectures.
Please register at http://kcw2014.eventbrite.com
Invited SpeakersIlkyoo Choi (KAIST)
Suyoung Choi (Ajou University)
Mitsugu Hirasaka (Pusan National University)
Petr Hlineny (Masaryk University, Czech Republic)
Jaehoon Kim (University of Birmingham, UK)
Jang Soo Kim (Sungkyunkwan University)
Younjin Kim (KAIST)
Young Soo Kwon (Yeungnam University)
(The list may be added)
Program
Day 1 (December 10 Wednesday) : Room 1409
2:00PM - 2:30PM Talk 1 (Young Soo Kwon)
2:40PM - 3:10PM Talk 2 (Mitsugu Hirasaka)
3:10PM - 3:40PM Coffee break
3:40PM - 4:10PM Talk 3 (Younjin Kim)
4:20PM - 4:50PM Talk 4 (Jang Soo Kim)
5:00PM - 6:00PM Discussion
6:00PM- Dinner
Day 2 (December 11 Thursday)
10:30AM - 12:00PM CMC Intensive Lecture (Paul Seymour) ROOM 1501
12:00PM - 1:30PM Lunch
1:30PM - 3:00PM CMC Intensive Lecture (Maria Chudnovsky) ROOM 1501
3:00PM - 3:40PM Coffee break
3:40PM - 4:10PM Talk 5 (Suyoung Choi) ROOM 3435
4:20PM - 4:50PM Talk 6 (Jaehoon Kim) ROOM 3435
5:00PM - 5:30PM Talk 7 (Ilkyoo Choi) ROOM 3435
6:00PM - Banquet
Day 3 (December 12 Friday)
10:30AM - 12:00PM CMC Intensive Lecture (Paul Seymour) ROOM 1501
12:00PM - 1:30PM Lunch
1:30PM - 3:00PM CMC Intensive Lecture (Maria Chudnovsky) ROOM 1501
3:00PM - 3:30PM Coffee break
3:30PM - 4:30PM Talk 7 (Petr Hlineny) ROOM 1501
4:40PM - 5:45PM Discussion
6:00PM - Dinner
http://kcw2014.eventbrite.comOrganizers
Advisory committee:
Dongho Chae, Chung-Ang University
Hi Jun Choe, Yonsei University
Hyeonbae Kang, Inha University
Minkyu Kwak, Chonnam National University
Yong-Hoon Lee, Pusan National University
Scientific committee:
Jaeyoung Byeon, KAIST
Seung Yeal Ha, Seoul National University
Kyungkeun Kang, Yonsei University
Soonsik Kwon, KAIST
Ki-Ahm Lee, Seoul National University
Organizing committee:
Sun-Sig Byun, Seoul National University
Hyung Ju Hwang, POSTECH
Hyunseok Kim, Sogang University
Seick Kim, Yonsei University
Yong Jung Kim, KAIST
Local organizer and contacts:
Hyunseok Kim. Sogang University. Tel: 02-705-8873, email:
2015 PDE School Poster / PDE School General Information (En /Kr)
Abstracts : Ha, Seung-Yeal / Bae, Myoungjean / Yong-Kum Cho / Sunho Choi / Doyoon Kim / Bongsuk Kwon / Ho Lee / Kyungwoo Song / Seok-Bae Yun /
The 5th Korea PDE school will be held as follows.
Dates: 2015.02.09. ~ 2015.02.13.
Place: NIMS, Daejeon, Korea
Topics: Mathematical theory of kinetic and fluid equations
Registration Period : 2014.12.01 - 2015.01.15
Principal lecturers and lecture topics
Seung-Yeal Ha (Seoul National University) will give 5 lectures on "Introduction to mathematical theory of kinetic equations"
Lecture 1: Where do kinetic equations come from and why do we need to study ?
Lecture 2, 3: Basics of the Boltzmann equation
Lecture 4: From the Boltzmann equation to fluid equations
Lecture 5: Basics of the mean-field kinetic equations
Myoungjean Bae (POSTECH) will give 5 lectures on "Free Boundary Problem with Mixed type PDE: Transonic shocks"
Lecture 1. Introduction - Euler system for compressible flow / Derivation of Rankine-Hugoniot conditions / One dimensional transonic shock solution
Lecture 2. Normal shock in a rectangular domain / Potential flow / Hyperbolic-elliptic mixed type nonlinear PDE / Derivation of a free boundary problem
Lecture 3. Supersonic solution (Quick review on hyperbolic PDE)
Lecture 4. Subsonic solution (Quick review on Elliptic PDE)
Lecture 5. How to solve a transonic shock problem? (Open problems)
Invited speakers and talk titles
Yong-Kum Cho (Chung-Ang U) Infinite Energy Solutions of the Boltzmann Equation: Recent Developments
Sunho Choi (KAIST) Scattering and Modified scattering of the Vlasov-Poisson system
Doyoon Kim (Kyung Hee U) Elliptic and parabolic equations in Sobolev spaces
Bongsuk Kwon (UNIST) A brief review of shock and rarefaction waves in hyperbolic conservation laws
Ho Lee (Kyung Hee U) Global properties of solutions to the Einstein-Boltzmann system with Bianchi I symmetry
Kyungwoo Song (Kyung Hee U) Semi-hyperbolic patches and sonic lines of two-dimensional Riemann problems of Conservation laws
Seok-Bae Yun (Sung Kyun Kwan U) An introduction to BGK models
http://amath.kaist.ac.kr/pdeschool2015/index.html
국가수리과학연구소 수학원리응용센터 세미나실
Combinatorial Optimization at Work (3/23-25, 국가수리과학연구소)
1501, Department of Mathematical Sciences, KAIST
2015 KAIST CMC Advanced School on Algebraic Geometry
Organizers
Sijong Kwak (KAIST)
Yongnam Lee (KAIST)
2015 KAIST CMC Advanced School on Algebraic Geometry
Period: April 20-23, 2015
Venue: 1501, Department of Mathematical Sciences, KAIST
Main Lecturers
Paolo Cascini (Imperial College)
Osamu Fujino (Kyoto Univ.)
James McKernan (UC San Diego)
Chenyang Xu (BICMR)
Research talks by
Hosung Kim (KIAS)
Jinhyung Park (KIAS)
Joonyeong Won (KAIST)
Before the main school, we have the preschool.
Period: April 17-18, 2015
Venue: 1501, Department of Mathematical Sciences, KAIST
Lecturers
Sung Rak Choi (IBS-CGP)
DongSeon Hwang (Ajou Univ.)
Takuzo Okada (Saga Univ.)
http://home.kias.re.kr/MKG/h/kaistcmcAG2015/금융수학 교육과정 워크숍
Curriculum Workshop for Mathematical Finance
일자: 2015년 5월 14일(목)
시간: 11:00~19:00
장소: 국가수리과학연구소 수학원리응용센터 대회의실
강연 및 토론자
•강완모 (KAIST)
•경강수 (수협)
•배형옥 (아주대학교)
•서병기 (UNIST)
•왕태호 (삼성증권)
•이혜진 (한국자산평가)
•장원재 (메리츠화재)
•전인태 (가톨릭대학교)
•차기현 (NH투자증권)
•홍태희 (KB생명)
https://camp.nims.re.kr/activities/eventpages/?id=207486&action=overview
1501(E6-1), Department of Mathematical Sciences, K
2015 Fudan-KAIST Workshop on Algebra and Geometry
Organizers
Meng CHEN (Fudan Univ.)
Sijong KWAK (KAIST)
Yongnam LEE (KAIST)
Quanshui WU (Fudan Univ.)
Invited Speakers
Sanghoon BAEK (KAIST)
Kuok Fai CHAO (SCMS, Fudan Univ.)
Suh Hyun CHOI (KAIST)
Qingchun JI (Fudan Univ.)
Zhi LU (Fudan Univ.)
Jinhyun PARK (KAIST)
YongJoo SHIN (SCMS, Fudan Univ.)
Dong Youp SUH (KAIST)
Joonyeong WON (ASARC, KAIST)
Quanshui WU (Fudan Univ.)
Program
May 21(Thu) |
May 22(Fri) |
May 23(Sat) |
||
09:30-10:20 |
Wu |
Suh |
09:00-09:50 |
Choi |
10:40-11:30 |
Park |
Lu |
10:10-11:00 |
Chao |
11:50-12:40 |
Ji |
|||
14:10-15:00 |
Baek |
|||
15:20-16:10 |
Shin |
|||
16:30-17:20 |
Won |
Title
Sanghoon BAEK (KAIST)
Semi-decomposable cohomological invariants of degree 3
Kuok Fai CHAO (SCMS, Fudan Univ.)
The geometry of tempered dual of special linear group
Suh Hyun CHOI (KAIST)
Finiteness of some 2-dimensional Galois represntations over totally real fields
Qingchun JI (Fudan Univ.)
Solvability of the Dirac equation and geometric applications
Zhi LU (Fudan Univ.)
Equivariant unitary bordism and equivariant cohomology Chern numbers
Jinhyun PARK (KAIST)
On algebraic cobordism version of Grothendieck standard conjecture D.
YongJoo SHIN (SCMS, Fudan Univ.)
Gosset Polytopes on blown-up Hirzebruch surfaces
Dong Youp SUH (KAIST)
Symplectic capacities from Hamiltonian circle actions
Joonyeong WON (ASARC, KAIST)
Weakly exceptional weighted Fano complete intersection
Quanshui WU (Fudan Univ.)
Poisson (co)homology over smooth Poisson varieties
Organizers
TBA
Plenary Speakers
- Ju-Lee Kim (Massachusetts Institute of Technology, USA)
- Malabika Pramanik (University of British Columbia, Canada)
- Rachel Levy (Harvey Mudd College, USA)
- Ayse A. Sahin (DePaul University, USA)
https://sites.google.com/site/kwms2015ic/home
KI Building, KAIST
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Organizers
Program Committee
Organizing Committee
The 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) will take place in Daejeon, South Korea, July 6-10, 2015.
Topics include all aspects of combinatorics and their relations with other parts of mathematics, physics, computer science, and biology.
The conference will consist of invited lectures, contributed presentations, poster sessions, and software demonstrations. There will be no parallel sessions.
The official languages of the conference are English and French.
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1501, Building E2-1, KAIST
2015 KAIST CMC Mathematical Biology Conference on Cross-diffusion, chemotaxis, and related problems
Organizers
Organizers
Danielle Hilhorst
Yong Jung Kim
Invited Speakers:
Matthieu Alfaro (U. of Montpellier)
Michel Chipot (U. of Zurich)
Laurent Desvillettes (Ecole Normal Superieure Cachan)
Shin-Ichiro Ei (Hokkaido U.)
Danielle Hilhorst (U. of Paris Sud)
Hirofumi Izuhara (U. of Miyazaki)
Kyungkeun Kang (Yonsei U.)
Yangjin Kim (Konkuk U.)
Yong Jung Kim (KAIST)
Ohsang Kwon (Chungbuk National U.)
Philippe Laurencot (U. of Toulouse)
Eliabeth Logak (U. of Cergy-Pontoise)
Masayasu Mimura (Meiji U.)
Hideki Murakawa (Kyushu U.)
Wei-Ming Ni (U. of Minnesota)
Khashayar Pakdaman (U. of Paris 6&7)
Masaharu Taniguchi (Okayama U.)
Yaping Wu (Capital Normal U.)
http://amath.kaist.ac.kr/KMBC2015/Organizers
Organizers
Rowan Killip
Soonsik Kwon
Monica Visan
-Lecturer
Rowan Killip (UCLA)
-Participants
Junki Jeon
Chulkwang Kwak
Gyeongha Hwang
Sung-hyun Hong
Younghun Hong
Younghak Kwon
Yifei Wu
Haewon Yoon
Schedule
Mon | Tue | Wed | Thr | Fri | |
11:00-11:50 | Killip | Killip | Killip | Y Hong | Kwak |
Lunch | |||||
2:00-2:50 | Killip | Killip | Y Kwon | S Hong | Y Hong |
3:00-3:50 | Jeon | Wu | Kwak | Wu | Yoon |
Hwang | Hwang |
E2, Room 3221, KAIST, Daejeon, Korea
2nd International Workshop "Neumann-Poincare Operator and Related Fields"
Organizers
Organized by
Hyeonbae Kang (Inha University)
Mikyoung Lim (KAIST)
Graeme Milton (University of Utah)
Sponsored by
BK21, Inha University, KMRS
Schedule
July 23
13:30-14:20, Habib Ammari (ENS, ETH)
Mathematical modelling of plasmonic nanoparticles
14:30-15:00, Kazunori Ando (Inha Univ.)
Plasmon resonance with nite frequencies
15:10-15:40, Sanghyeon Yu (KAIST)
Spectral theory of the Neumann-Poincare operator and cloaking by anomalous lo-calized resonance for the elasto-static system
16:00-16:50, Mikyoung Lim (KAIST)
Spectral resolution of the Neumann-Poincare operator on intersecting disks and analysis of plasmon resonance
************************************************
July 24
10:00-11:00, Graeme W. Milton (Univ. of Utah)
Bounds on the transient response of two-component composites (KMRS Intensive Lecture)
11:10-11:40, Owen Miller (MIT)
Fundamental Limits to the Optical Response of Lossy Media
11:50-12:20, Aaron Welters (FIT)
TBA
12:30-14:00, Lunch
14:00-14:50, Mihai Putinar (UC-Santa Barbara)
Matrix positivity preservers in xed dimension
Organizers
Conference Co-chairs
- Greg Blekherman
- Georgia Institute of Technology
- Joachim Rosenthal
- University of Zurich
Local Organizing Committee
- Hyungju Park
- POSTECH / NIMS
- David Donghoon Hyeon
- POSTECH
- Sijong Kwak
- KAIST
- Bernd Sturmfels
- UC Berkeley
- Ruriko Yoshida
- University of Kentucky
Program Committee
- Peter Bürgisser
- TU Berlin
- Marta Casanellas
- Universitat Politècnica de Catalunya
- David Donghoon Hyeon
- POSTECH
- Jon-Lark Kim
- Sogang University
- JM Landsberg
- Texas A&M University
- Frederique Oggier
- Nanyang Technological University
- Pablo A. Parrilo
- Massachusetts Institute of Technology
- Renate Scheidler
- University of Calgary
- Andrew Sommese
- University of Notre Dame
- Mike Stillman
- Cornell University
- Akimichi Takemura
- University of Tokyo
- Lihong Zhi
- Academia Sinica
The purpose of the SIAM Activity Group in Algebraic Geometry is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. These methods have already seen applications in: biology, coding theory, cryptography, combustion, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear partial differential equations, optimization, robotics, and statistics. We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications.
Sponsor:SIAM Activity Group on Algebraic Geometry
All sessions will be held at National Institute for Mathematical Sciences and Korea Advanced Institute of Science and Technology.
camp.nims.re.kr/activities/siag15/
- Wolfram Decker
- Universität Kaiserslautern
- Jonathan Hauenstein
- University of Notre Dame
- June Huh
- Princeton University
- Minhyong Kim
- University of Oxford
- Ketan Mulmuley
- University of Chicago
- Giorgio Ottaviani
- Università di Firenze
- Madhu Sudan
- Microsoft Research New England
- Rekha Thomas
- University of Washington
- Judy Walker
- University of Nebraska
KAIST 자연과학동 E6-1, 3435 & 고등과학원 1114 회의실
2015 CMC 난제기반 집중강연 (Foundations for Mathematical Challenges)
Organizers
KAIST CMC Steering Committee
2015 CMC Foundations for Mathematical Challenges -1
강연자: 김현석 (서강대)
기간: 2015년 8월 3일 ~ 7일
장소: KAIST 자연과학동 E6-1, 3435호
주제: Well-posedness theory for the Navier-Stokes equations
초록: In this series of lectures, we provide a classical theory of the Navier-Stokes equations for incompressible viscous fluids in three-dimensional domains. The first part of the lectures is devoted to giving a rather complete proof of Leray’s fundamental existence result (1934) on global weak solutions without any size condition on the data. The uniqueness and regularity of Leray’s weak solutions has been one of the most outstanding open questions in analysis and are closely related to one of the seven Clay Millennium Problems: the so-called ”Navier-Stokes existence and smoothness problem”. In the second part, as partial answers to the uniqueness question, we establish weak-strong uniqueness results which show that weak solutions are unique if a strong or smooth solution exists. It will be also shown that a strong or smooth solution exists at least for a short time interval and globally in time if the data is sufficiently small. The regularity of weak solutions will be studied in the last part of the lectures. Local regularity theorems, which extends a classical result due to Serrin (1962), are explained in some detail but possibly with outlines of proofs. We finally discuss the partial regularity result of Caffarelli-Kohn-Nirenberg (1982) for suitable weak solutions of the Navier-Stokes equations.
The lectures are prepared for graduate students in mathematics who have already taken at least one graduate course in the partial differential equations(PDEs). The students are thus expected to have some knowledge (otherwise, please study by yourself) about the basic theory of functional analysis, Sobolev spaces, and weak solutions of elliptic/parabolic PDEs, for instance, given in Chapters 5-7 and Appendix D in the book by Evans. More advanced or specialized materials will be explained in detail during the lectures.
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2015 CMC Foundations for Mathematical Challenges -2
강연자: 박진현(KAIST)
기간: 2015녀 8월 10일 ~ 14일
장소: 고등과학원 1114 회의실
주제: Hodge 가설이란 무엇인가?
초록: 클레이 수학연구소에서 정한 새로운 세기에 풀 밀레니엄 문제들 중 하나인 핫지(Hodge) 가설에 대해 알아보고자 한다. 간단히 말하자면, 핫지 가설은, 대수기하적 대상인 대수사이클과 위상수학적 대상인 특이 코호몰로지 군 사이의 연관성에 대한 가설로, 위상수학적인 정보에 대해 얼마 만큼이나 대수기하적인 접근을 할 수 있는지에 대한 가설로 볼 수 있다. 조금 더 엄밀하게는, 유리계수상의 특이 코호몰로지 군의 (p,p) 부분이 대수사이클의 사이클 류 함수 값이 되는지를 묻는 것이다. 이 가설은 엄밀하게 말하자면 이미 반례를 알고 있으나, 이 가설을 조금 수정한 것은 아직까지 사실인지 여부가 알려져 있지 않다. 본 강연에서는, 학부 고학년에서 대학원 저학년 수준의 수학 기초지식을 가진 학생들에게 핫지 가설을 이해하기 위한 기초적인 지식을 전달하고, 그 후 이 가설의 현황에 대하여 알아보는 것을 목표로 한다.
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** 본 강연은 한국어로 구성되었으며, KAIST CMC와 CMC의 주최로 진행됩니다.
** 아래 링크를 통해 7/26까지 사전등록을 꼭 해주시기 바랍니다.
2. 서울 KIAS Hodge Theory 강연 등록링크:
(http://home.kias.re.kr/MKG/h/FMCS2015/)
Contact
Tel. +82 42 350 8545
Organizers
김석진 (건국대 수학교육과)
엄상일 (KAIST 수리과학과)
1st Korean Workshop on Graph Theory
기간: 2015년 8월 26일 ~ 28일
장소: KAIST 자연과학동 E6-1 1501 & 3435
초청 강연자
권영수 (영남대)
김석진 (건국대)
김연진 (KAIST)
김재훈 (Birmingham U.)
노유미 (인천대)
박보람 (아주대)
방세정 (영남대)
엄상일 (KAIST)
이상준 (덕성여대)
이준경 (U. of Oxford)
최정옥 (광주과기원)
최일규 (KAIST)
http://home.kias.re.kr/MKG/h/KWGT2015/