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Extra Form
Lecturer 강남규
Dept. 서울대학교
date Apr 17, 2014

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
Category Subject Dept. Lecturer
Math Colloquia Essential dimension of simple algebras file KAIST 백상훈
Math Colloquia Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
Math Colloquia Entropy of symplectic automorphisms file 서강대학교 김준태
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
Math Colloquia Diophantine equations and moduli spaces with nonlinear symmetry file 서울대학교 황준호
Math Colloquia Descent in derived algebraic geometry file 서강대학교 조창연
Math Colloquia Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Counting number fields and its applications file UNIST 조재현
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia Contact Homology and Constructions of Contact Manifolds file 서울대 Otto van Koert
Math Colloquia Conservation laws and differential geometry file Univ. of Wisconsin Marshall Slemrod
Math Colloquia Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
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