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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 What happens inside a black hole? file 고등과학원 오성진
Math Colloquia Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
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Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia From mirror symmetry to enumerative geometry file 서울대학교 오정석
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
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Math Colloquia 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
Math Colloquia <학부생을 위한 강연> 수학과 보험산업 file 라이나생명 유신옥
Math Colloquia Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
Math Colloquia Seifert fiberings file University of Oklahoma 이경배
Math Colloquia Geometric structures and representation spaces file 서울대학교 이계선
Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
Math Colloquia 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
Math Colloquia Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
Math Colloquia <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
Math Colloquia An introduction to hyperplane arrangements file 서울대 이승진
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