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  1. Creation of concepts for prediction models and quantitative trading

    Modern mathematics with axiomatic systems has been developed to create a complete reasoning system. This was one of the most exciting mathematical experiments. However, even after the failure of the experiment, mathematical research is still...
    CategoryMath Colloquia Dept.Haafor Lecturer이승환
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  2. <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations

    In this talk, I will briefly introduce some properties of the incompressible Navier-Stokes equations. Then, I will review some classical results obtained by harmonic analysis tools.
    CategoryMath Colloquia Dept.UNIST Lecturer배한택
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  3. An introduction to hyperplane arrangements

    A hyperplane arrangement is an arrangement of a finite set of hyperplanes in some vector space. Hyperplane arrangements generalize other famous combinatorial objects such as graphs and matroids. In this talk, we introduce a characteristic po...
    CategoryMath Colloquia Dept.서울대 Lecturer이승진
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  4. What happens inside a black hole?

    Black holes are perhaps the most celebrated predictions of general relativity. Miraculously, these complicated spacetimes arise as explicit (i.e., exact expression can be written down!) solutions to the vacuum Einstein equation. Looking thes...
    CategoryMath Colloquia Dept.고등과학원 Lecturer오성진
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  5. <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...
    CategoryMath Colloquia Dept.연세대학교 Lecturer강정한
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  6. Subword complexity, expansion of real numbers and irrationality exponents

    We introduce and study a new complexity function in combinatorics on words, which takes into account the smallest return time of a factor of an infinite word. We characterize the eventually periodic words and the Sturmian words by means of t...
    CategoryMath Colloquia Dept.동국대 Lecturer김동한
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  7. <학부생을 위한 ε 강연> 동형암호와 근사정수론

    완전동형암호는 암호화된 상태에서 모든 계산을 지원하는 이상적인 암호로서 암호학계의 성배(holy grail)로 불리며 1978년 이후 오랫동안 미해결 문제로 알려져 있었다. 2009년 Gentry에 의해 처음 만들어진 후 많은 연구를 거쳐 실용화를 앞두고 있으며 2011...
    CategoryMath Colloquia Dept.서울대 Lecturer천정희
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  8. 4-manifold topology and disk embedding

    The disk embedding problem is of fundamental importance in the study of 4-dimensional topology. I will discuss its significance and difficulty, including how disk embedding makes dimension four intrinsically different from other dimensions. ...
    CategoryMath Colloquia Dept.포항공과대학교 Lecturer차재춘
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  9. Hybrid discontinuous Galerkin methods in computational science and engineering

    Computation facilitates to understand phenomena and processes from science and engineering; we no longer need to depend only on theory and experiment. Computational Science and Engineering (CSE) is a rapidly developing multidisciplinary area...
    CategoryMath Colloquia Dept.연세대 Lecturer박은재
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  10. 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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  11. Theory and applications of partial differential equations

    I will talk in general about theory and applications of partial differential equations. A recent progress in the regularity theory for nonlinear problems will be also discussed, including uniform estimates of solutions in various function sp...
    CategoryMath Colloquia Dept.서울대 Lecturer변순식
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  12. 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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  13. <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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  14. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

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    CategoryMath Colloquia Dept.동양대학교 Lecturer진중권
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  15. 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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  16. 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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  17. 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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  18. 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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  19. 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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  20. <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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