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  1. <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection

    현대 연속시간 포트폴리오 선택이론에 대하여 설명한다. 마코위츠 의 정적 선택이론으로 시작하여 머튼의 연속시간 선택이론을 설명한다. 1950년대 우주 개발을 위하여 개발된 최적 제어이론이 연속시간 포트폴리오 선택이론에 어떻게 사용되었는가를 설명하고...
    Category수학강연회 소속아주대학교 금융공학과 강연자구형건
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  2. 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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  3. 학부생을 위한 강연회: What is the algebraic number theory?

    학부에서 왜 abstract algebra I, II 를 온전히 배워야 하는지를 BC 5세기경 Pythagoras로 부터 시작된 수론 문제가 현재까지 어떻게 발전되어 왔는지를 예를 들어 설명합니다.
    Category수학강연회 소속KAIST 강연자구자경
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  4. Topology of configuration spaces on graphs

    학부에서 왜 abstract algebra I, II 를 온전히 배워야 하는지를 BC 5세기경 Pythagoras로 부터 시작된 수론 문제가 현재까지 어떻게 발전되어 왔는지를 예를 들어 설명합니다.
    Category수학강연회 소속KAIST 강연자고기형
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  5. 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

    The notion of entanglement is now considered as a basic resource for the current quantum information and quantum computation theory. We discuss what kinds of mathematics are related to the theory. They include operator algebras, matrix theor...
    Category수학강연회 소속서울대학교 강연자계승혁
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  6. <정년퇴임 기념강연> 작용소대수와 양자정보이론

    작용수대수에서 순서구조가 중요한 역할을 한다. C*-대수의 시작이라 할 수 있는 Gelfand-Naimark-Segal 표현정리는 양선형범함수로부터 *-준동형을 만들어내는데, 그 표현정리 이후 여러 가지 종류의 양사상에 대한 연구가 이루어졌다. 최근 활발하게 연구되...
    Category수학강연회 소속서울대학교 강연자계승혁
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  7. Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

    We present a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrizati...
    Category수학강연회 소속인하대학교 강연자강현배
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  8. Irreducible Plane Curve Singularities

    It is very interesting to study what problems can be computed in irreducible plane curve singularities in algebraicgeometry? Then, the aim of this talk is to compute the explicit algorithm for finding the correspondence between the family of...
    Category특별강연 소속서울대학교 강연자강정혁
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  9. <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations

    사회에 대한 연구는 모형 중심의 연구와 자료 중심의 연구로 나눠볼 수 있다. 최근 빅데이터를 비롯한 자료 형태의 혁신은 연구의 중심을 모형 중심에서 자료 중심으로 옮기는 듯 하다. 그러나 "변수"를 중심으로 혁신적 자료를 활용한다면 여전히 모형이 과학...
    Category수학강연회 소속연세대학교 강연자강정한
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  10. Periodic orbits in symplectic geometry

    Symplectic geometry has one of its origins in Hamiltonian dynamics. In the late 60s Arnold made a fundamental conjecture about the minimal number of periodic orbits of Hamiltonian vector fields. This is a far-reaching generalization of Poinc...
    Category수학강연회 소속서울대 강연자강정수
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  11. 2023-1 Probabilistic Potential Theroy (강재훈)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자강재훈
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  12. Gaussian free field and conformal field theory

    Ward's identities and the related concept of the stress-energy tensor are standard tools in conformal field theory. I will present a mathematical overview of these concepts and outline relations between conformal field theory and Schramm-Loe...
    Category수학강연회 소속서울대학교 강연자강남규
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  13. Random conformal geometry of Coulomb gas formalism

    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 achie...
    Category수학강연회 소속서울대학교 강연자강남규
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  14. Conformal field theory in mathematics

    Since Belavin, Polyakov, and Zamolodchikov introduced conformal field theory as an operator algebra formalism which relates some conformally invariant critical clusters in two-dimensional lattice models to the representation theory of Viraso...
    Category수학강연회 소속고등과학원 강연자강남규
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  15. Brownian motion with darning and conformal mappings

    Brownian motion with darning (BMD) is a diffusion process obtained from Brownian motion by shorting each hole in the space into one point. In this talk, I will present a quick introduction to BMD and its basic properties including the zero p...
    Category수학강연회 소속University of Washington 강연자Zhen-Qing Chen
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  16. Anomalous diffusions and fractional order differential equations

    Anomalous diffusion phenomenon has been observed in many natural systems, from the signalling of biological cells, to the foraging behaviour of animals, to the travel times of contaminants in groundwater. In this talk, I will first discuss t...
    Category수학강연회 소속University of Washington 강연자Zhen-Qing Chen
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  17. On some nonlinear elliptic problems

    On some nonlinear elliptic problems
    Category수학강연회 소속Paul Sabatier University, Toulouse 강연자Yuri Egorov
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  18. Regularization by noise in nonlinear evolution equations

    There are some phenomena called "regularization by noise" in nonlinear evolution equations. This means that if you add a noise to the system, the system would have a better property than without noise. As one of examples, I will explain this...
    Category특별강연 소속Dep. Math., Kyoto Univ. 강연자Yoshio Tsutsumi
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  19. The phase retrieval problem

    In many applications such as X-ray Crystallography, imaging, communication and others, one must construct a function/signal from only the magnitude of the measurements. These measurements can be, for example, the Fourier transform of the den...
    Category수학강연회 소속Hong Kong University of Science and Technology 강연자Yang Wang
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  20. 2022-1 Rookies Pitch: Functional Analysis (Wang Xumin)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자Wang Xumin
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