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  1. 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...
    Category수학강연회 소속SUNY Buffalo 강연자정재훈
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  2. <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...
    Category수학강연회 소속UCLA 강연자Stanley Osher
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  3. 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 ...
    Category수학강연회 소속KAIST 강연자김재경
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  4. 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...
    Category수학강연회 소속Yale Univ. 강연자Giulio Tiozzo
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  5. 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...
    Category수학강연회 소속Oklahoma State Univ. 강연자구자언
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  6. Brownian motion and energy minimizing measure in negative curvature

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    Category수학강연회 소속서울대학교 강연자임선희
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  7. 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...
    Category수학강연회 소속KAIST 강연자김동수
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  8. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

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    Category수학강연회 소속육군사관학교 강연자문미남
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  9. 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...
    Category수학강연회 소속서울대 강연자권재훈
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  10. 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 ...
    Category수학강연회 소속University of Bielefeld 강연자Walter Hoh
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  11. Regularity of solutions of Hamilton-Jacobi equation on a domain

    150902_HYKE.pdf
    Category특별강연 소속ENS-Lyon 강연자Albert Fathi
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  12. What is Weak KAM Theory?

    The goal of this lecture is to explain and motivate the connection between AubryMather theory (Dynamical Systems), and viscosity solutions of the Hamilton-Jacobi equation (PDE). This connection is the content of weak KAM Theory. The talk sho...
    Category특별강연 소속ENS-Lyon 강연자Albert Fathi
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  13. 정년퇴임 기념강연: 회고

    정년퇴임기념강연
    Category수학강연회 소속서울대 강연자김도한
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  14. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

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    Category수학강연회 소속KAIST 강연자엄상일
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  15. The classification of fusion categories and operator algebras

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    Category수학강연회 소속Kyoto University 강연자Masaki Izumi
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  16. Green’s function for initial-boundary value problem

    In this talk, we will present an approach to construct the Green’s function for an initial boundary value problem with precise pointwise structure in the space-time domain. This approach is given in terms of transform variable and physical v...
    Category수학강연회 소속National Univ. of Singapore 강연자Shih-Hsien Yu
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  17. Mechanization of proof: from 4-Color theorem to compiler verification

    I will give a broad introduction to how to mechanize mathematics (or proof), which will be mainly about the proof assistant Coq. Mechanizing mathematics consists of (i) defining a set theory, (2) developing a tool that allows writing definit...
    Category수학강연회 소속서울대 컴퓨터공학부 강연자허충길
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  18. On the distributions of partition ranks and cranks

    To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi for...
    Category수학강연회 소속서울과학기술대학교 강연자김병찬
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  19. Q-curvature in conformal geometry

    In this talk, I will talk about the definition Q-curvature and some of its properties. Then I will talk about the problem of prescribing Q-curvature, especially I will explain the ideas of studying the problem using flow approach.
    Category수학강연회 소속서강대 강연자Pak Tung Ho
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  20. Zeros of the derivatives of the Riemann zeta function

    I will introduce behavior of the derivatives of the Riemann zeta function.
    Category수학강연회 소속연세대 강연자기하서
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