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강연자 강남규
소속 서울대학교
date 2014-04-17

Several cluster interfaces in 2D critical lattice models have been proven to have conformally invariant scaling limits, which are described by SLE(Schramm-Loewner evolution) process, a family of random fractal curves. As the remarkable achievements of complex analytic/probabilistic methods, Lawler-Schramm-Werner's work and Smirnov's work will be discussed in the first part of this talk. The main ingredient of these methods is to find SLE martingale-observables. After presenting the precise relation between SLE and conformal field theory, I will describe some SLE martingale-observables in terms of correlation functions in conformal field theory. It is conjectural that the correlation functions in conformal field theory can be approximated by the expectations of random functions constructed from the Ginibre ensembles. In the second part, I will present the edge universality law for random normal matrix ensembles with a radially symmetric potential at a regular boundary point of the spectrum. This talk is based on joint work with Makarov and Ameur. 


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List of Articles
카테고리 제목 소속 강연자
수학강연회 On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
수학강연회 On the Schauder theory for elliptic PDEs file 연세대학교 김세익
수학강연회 One and Two dimensional Coulomb Systems file 카이스트 폴정
수학강연회 Partial differential equations with applications to biology file POSTECH 황형주
수학강연회 Periodic orbits in symplectic geometry file 서울대 강정수
특별강연 Persistent Homology file Stanford University Gunnar E. Carlsson
수학강연회 Q-curvature in conformal geometry file 서강대 Pak Tung Ho
수학강연회 Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
수학강연회 Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
수학강연회 Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
특별강연 Queer Lie Superalgebras file Univ. of Texas, Arlington Dimitar Grantcharov
수학강연회 Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
수학강연회 Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
수학강연회 Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
수학강연회 Randomness of prime numbers file 서울대학교 임선희
수학강연회 Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
수학강연회 Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
수학강연회 Regularity for non-uniformly elliptic problems file 경북대학교 오제한
특별강연 Regularity of solutions of Hamilton-Jacobi equation on a domain file ENS-Lyon Albert Fathi
수학강연회 Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
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