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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 Structures of Formal Proofs file 경북대학교 정주희
수학강연회 Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
수학강연회 Space.Time.Noise file Meijo University Takeyuki Hida
수학강연회 Solver friendly finite element methods file Oklahoma State Univ. 구자언
수학강연회 Sheaf quantization of Hamiltonian isotopies and non-displacability problems file Kyoto Univ./서울대학교 Masaki Kashiwara
수학강연회 Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
수학강연회 Seifert fiberings file University of Oklahoma 이경배
수학강연회 Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
수학강연회 Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
수학강연회 Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
수학강연회 Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
수학강연회 Restriction theorems for real and complex curves file 포항공과대학교 박종국
특별강연 Regularization by noise in nonlinear evolution equations file Dep. Math., Kyoto Univ. Yoshio Tsutsumi
수학강연회 Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
특별강연 Regularity of solutions of Hamilton-Jacobi equation on a domain file ENS-Lyon Albert Fathi
수학강연회 Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
수학강연회 Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
수학강연회 Randomness of prime numbers file 서울대학교 임선희
수학강연회 Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
수학강연회 Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
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