1. Analysis and computations of stochastic optimal control problems for stochastic PDEs

    Many mathematical and computational analyses have been performed for deterministic partial differential equations (PDEs) that have perfectly known input data. However, in reality, many physical and engineering problems involve some level of ...
    CategoryMath Colloquia Dept.아주대 Lecturer이형천
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  2. <학부생을 위한 ε 강연> 압축센싱과 행렬완성

    인터넷 혁명을 거치면서 인간이 생산 및 소비하는 정보의 양이 비약적으로 증가하고 있다. 다루는 정보와 신호의 차원이 커짐에 따라 정보를 획득, 압축, 저장 그리고 복원하는 일련의 과정에 대한 새로운 패러다임이 요구되어 왔으며, 특히 큰 차원의 신호에...
    CategoryMath Colloquia Dept.서울대 Lecturer심병효
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  3. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

    CategoryMath Colloquia Dept.동양대학교 Lecturer진중권
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  4. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

    초록 첨부: Void.pdf
    CategoryMath Colloquia Dept.Univ. Bremen LecturerKeivan Mallahi-Karai
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  5. Quasi-homomorphisms into non-commutative groups

    A function from a group G to integers Z is called a quasi-morphism if there is a constant C such that for all g and h in G, |f(gh)-f(g)-f(h)| < C. Surprisingly, this idea has been useful. I will overview the theory of quasi-morphisms includi...
    CategoryMath Colloquia Dept.Kyoto Univ. LecturerKoji Fujiwara
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  6. Entropies on covers of compact manifolds

    We consider different growth rates associated with the geometry (distance, volume, heat kernel) on a cover of a compact Riemannian manifold. We present general inequalities. We discuss the rigidity results and questions in the case of negati...
    CategoryMath Colloquia Dept.CNRS (France) LecturerFrançois Ledrappier
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  7. Iwahori-Hecke algebras and beyond

    For the irreducible representations of the Hecke algebras, the minimal elements in each conjugacy class play an important role. In this talk, we try to review the minimal length elements and characterize in a more efficient way to find the m...
    CategoryMath Colloquia Dept.University of Picardie Jules-Verne, Amiens Lecturer김성순
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  8. On the resolution of the Gibbs phenomenon

    Since Fourier introduced the Fourier series to solve the heat equation, the Fourier or polynomial approximation has served as a useful tool in solving various problems arising in industrial applications. If the function to approximate with t...
    CategoryMath Colloquia Dept.SUNY Buffalo Lecturer정재훈
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  9. <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

    I will give a very personal overview of the evolution of mainstream applied mathematics from the early 60's onwards. This era started pre computer with mostly analytic techniques, followed by linear stability analysis for finite difference a...
    CategoryMath Colloquia Dept.UCLA LecturerStanley Osher
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  10. The process of mathematical modelling for complex and stochastic biological systems

    The revolution of molecular biology in the early 1980s has revealed complex network of non-linear and stochastic biochemical interactions underlying biological systems. To understand this complex system, mathematical models have been widely ...
    CategoryMath Colloquia Dept.KAIST Lecturer김재경
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  11. Random walks in spaces of negative curvature

    Given a group of isometries of a metric space, one can draw a random sequence of group elements, and look at its action on the space.  What are the asymptotic properties of such a random walk?  The answer depends on the geometry of the space...
    CategoryMath Colloquia Dept.Yale Univ. LecturerGiulio Tiozzo
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  12. Solver friendly finite element methods

    In this talk, numerical methods to solve second-order elliptic partial dierential equations will be presented. First, some of the existing methods, such as the standard Galerkin method, mixed nite element methods etc., will be briey discusse...
    CategoryMath Colloquia Dept.Oklahoma State Univ. Lecturer구자언
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  13. Brownian motion and energy minimizing measure in negative curvature

    CategoryMath Colloquia Dept.서울대학교 Lecturer임선희
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  14. 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까?

    현대 사회에서 수학의 역할과 수학자에 대한 수요는 갈수록 증가하고 있다. 미국의 어떤 조사에서는 수학자가 가장 선망 받는 직업으로 분류되고, 영국에서 수학이 경제에 미치는 영향을 분석한 Deloitte 보고서에 따르면 영국 직업의 10%가 수학 연구와 직접...
    CategoryMath Colloquia Dept.KAIST Lecturer김동수
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  15. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

    CategoryMath Colloquia Dept.육군사관학교 Lecturer문미남
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  16. Weyl character formula and Kac-Wakimoto conjecture

    The character of the finite-dimensional irreducible modules over a finite-dimensional simple Lie algebra is given by the celebrated Weyl character formula. However, such a formula does not hold in general for finite-dimensional irreducible m...
    CategoryMath Colloquia Dept.서울대 Lecturer권재훈
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  17. Nonlocal generators of jump type Markov processes

    Empirical observations have shown that for an adequate description of many random phenomena non-Gaussian processes are needed. The paths of these Markov processes necessarily have jumps. Their generators are nonlocal operators which admit a ...
    CategoryMath Colloquia Dept.University of Bielefeld LecturerWalter Hoh
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  18. 정년퇴임 기념강연: 회고

    CategoryMath Colloquia Dept.서울대 Lecturer김도한
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  19. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

    CategoryMath Colloquia Dept.KAIST Lecturer엄상일
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  20. The classification of fusion categories and operator algebras

    CategoryMath Colloquia Dept.Kyoto University LecturerMasaki Izumi
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