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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 High dimensional nonlinear dynamics file 경북대학교 도영해
수학강연회 Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
수학강연회 Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
수학강연회 Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
수학강연회 Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
수학강연회 Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
수학강연회 Geometry, algebra and computation in moduli theory file 서울대 현동훈
수학강연회 Geometric structures and representation spaces file 서울대학교 이계선
수학강연회 Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
수학강연회 Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media file 육군사관학교 문미남
수학강연회 Gaussian free field and conformal field theory file 서울대학교 강남규
수학강연회 Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
수학강연회 Free boundary problems arising from mathematical finance file 경희대학교 전준기
수학강연회 Fixed points of symplectic/Hamiltonian circle actions file 부산대 수학과 장동훈
수학강연회 Fermat´s last theorem file 카이스트 최서현
수학강연회 Fefferman's program and Green functions in conformal geometry file 서울대학교 Raphaël Ponge
수학강연회 Fano manifolds of Calabi-Yau Type file 서울대학교 Atanas Iliev
수학강연회 Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Univ. Bremen Keivan Mallahi-Karai
수학강연회 Existence of positive solutions for φ-Laplacian systems file 이용훈 수학강연회,특별강연,대중강연
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
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