1. Cloaking via Change of Variables

    We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the bounda...
    CategoryMath Colloquia Dept.KAIST Lecturer임미경
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  2. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

    Magnetic Resonance Electrical Impedance Tomography (MREIT) is a late medical imaging modality visualizing static conductivity images of electrically conducting subjects. When we inject current into the object, it produces internal distributi...
    CategoryMath Colloquia Dept.KAIST Lecturer이창옥
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  3. 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks

    Diffusion of information, rumors or epidemics via various social networks has been extensively studied for decades. In particular, Kempe, Kleinberg, and Tardos (KDD '03) proposed the general threshold model, a generalization of many mathemat...
    CategoryMath Colloquia Dept.KAIST Lecturer정교민
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  4. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

    CategoryMath Colloquia Dept.KAIST Lecturer엄상일
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  5. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

    Studies on PDEs are mostly focused on ?nding properties of PDEs within a speci?c discipline and on developing a technique specialized to them. However, ?nding a common structure over di?erent disciplines and unifying theories from di?erent s...
    CategoryMath Colloquia Dept.KAIST Lecturer김용정
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  6. Normal form reduction for unconditional well-posedness of canonical dispersive equations

    Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the not...
    CategoryMath Colloquia Dept.KAIST Lecturer권순식
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  7. Essential dimension of simple algebras

    The notion of essential dimension was introduced by Buhler and Reichstein in the late 90s. Roughly speaking, the essential dimension of an algebraic object is the minimal number of algebraically independent parameters one needs to define the...
    CategoryMath Colloquia Dept.KAIST Lecturer백상훈
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  8. 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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  9. 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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  10. On function field and smooth specialization of a hypersurface in the projective space

    In this talk, we will discuss two interesting problems on hypersurfaces in the projective space. The first one is the absolute Galois theory on the function field of a very general hypersurface in the projective space. The other one is the c...
    CategoryMath Colloquia Dept.KAIST Lecturer이용남
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  11. Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications

    Machine learning (ML) has achieved unprecedented empirical success in diverse applications. It now has been applied to solve scientific problems, which has become an emerging field, Scientific Machine Learning (SciML). Many ML techniques, h...
    CategoryMath Colloquia Dept.KAIST Lecturer신연종
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  12. Equations defining algebraic curves and their tangent and secant varieties

    It is a fundamental problem in algebraic geometry to study equations defining algebraic curves. In 1984, Mark Green formulated a famous conjecture on equations defining canonical curves and their syzygies. In early 2000's, Claire Voisin...
    CategoryMath Colloquia Dept.KAIST Lecturer박진형
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  13. Universality of log-correlated fields

    A feature of log-correlation naturally appears in diverse objects such as random matrices, random discrete geometries and Riemann zeta function. In this talk, I will give an overview on the theory of log-correlated fields and talk about rec...
    CategoryMath Colloquia Dept.KAIST Lecturer남경식
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  14. 2021-1 Rookies Pitch: Optimization Theory (이다빈)

    CategoryBK21 FOUR Rookies Pitch Dept.IBS-DIMAG Lecturer이다빈
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  15. Contact instantons and entanglement of Legendrian links

    We introduce a conformally invariant nonlinear sigma model on the bulk of contact manifolds with boundary condition on the Legendrian links in any odd dimension. We call any finite energy solution a contact instanton. We also explain its Ha...
    CategoryMath Colloquia Dept.IBS-CGP /POSTECH Lecturer오용근
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  16. 2023-1 Dynamics and Number Theory (이슬비)

    CategoryBK21 FOUR Rookies Pitch Dept.IBS-CGP Lecturer이슬비
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  17. 2023-1 Symplectic Topology (이상진)

    CategoryBK21 FOUR Rookies Pitch Dept.IBS-CGP Lecturer이상진
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  18. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

    Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields. We sur...
    CategoryMath Colloquia Dept.IBS, 포항공과대학교 Lecturer오용근
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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...
    CategoryMath Colloquia Dept.Hong Kong University of Science and Technology LecturerYang Wang
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  20. Convex and non-convex optimization methods in image processing

    In this talk, we discuss some results of convex and non-convex optimization methods in image processing. Examples including image colorization, blind decovolution and impulse noise removal are presented to demonstrate these methods. Their a...
    CategoryMath Colloquia Dept.Hong Kong Baptist University LecturerMichael Ng
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