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2017-1 CMC

Foundations for Mathematical Challeges

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2017-1 CMC Foundations for Mathematical Challenges


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

주제: Random matrix theory
내용:
1. Introduction to random matrix theory
2. Bulk universality
3. Edge universality
4. Various random matrix models
5. Applications and open problems

초록: Introduced by Wishart and Wigner, random matrix theory has provided remarkable results and challanges in various fields such as mathematics, physics, and statistics. The main theme of the random matrix theory is universality, which asserts that the local statistics of random matrix eigenvalues is universal. In this lecture series, we first give an overview of the random matrix theory and explain the concept of the universality. Then, we prove key theorems and discuss the main ideas in them. Finally, we consider the mathematical challanges in random matrix theory. The lecture series is intended for undergraduate/graduate students mathematics who have knowledge in linear algebra, measure theory, complex analysis, and basic probability theory.



Contact
hskim@kias.re.kr / 042-350-8545

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**2015-1 CMC Foundations for Mathematical Challenges
주제: Well-posedness theory for the Navier-Stokes equations
강연자: 김현석 교수 (서강대학교)
Homepage:
http://home.kias.re.kr/MKG/h/FMC2015/
VOD:
http://vod.mathnet.or.kr/sub1.php?key_s_title=2015+CMC+%EB%82%9C%EC%A0%9C%EA%B8%B0%EB%B0%98+%EC%A7%91%EC%A4%91%EA%B0%95%EC%97%B0+%28Foundations+for+Mathematical+Challenges%29
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**2015-2 CMC Foundations for Mathematical Challenges
주제: Hodge 가설이란 무엇인가?
강연자: 박진현 교수 (KAIST)
Homepage:
http://home.kias.re.kr/MKG/h/FMCS2015/
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**2016-1 CMC Foundations for Mathematical Challenges
주제: Birch and Swinnerton-Dyer 추측
강연자: 최도훈 교수 (한국항공대학교)
Homepage:
http://home.kias.re.kr/MKG/h/FMCkaistcmc/
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** 2016-2 CMC Foundations for Mathematical Challenge
주제: Solitons in the Korteweg-de Vries equations, inverse scattering approaches
강연자: 권순식 교수 (KAIST)
Homepage:
http://home.kias.re.kr/MKG/h/FMCkiascmc/
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** 2017-2 CMC Foundations for Mathematical Challenge
주제: 소수정리와 리만가설
강연자: 기하서 교수 (연세대학교)
Homepage:
http://home.kias.re.kr/MKG/h/FMC2017daejeon/?pageNo=2788
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