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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
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Math Colloquia Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
Math Colloquia Structures of Formal Proofs file 경북대학교 정주희
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