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  1. 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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  2. Structures of Formal Proofs

    Fitch is a formal proof system recently gaining momentum in logic education due to its structural similarity to human reasoning. We introduce Fitch via its web-implementation at http://www.proofmood.com. Then we compare Fitch with more well-...
    Category수학강연회 소속경북대학교 강연자정주희
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  3. Study stochastic biochemical systems via their underlying network structures

    When a biological system is modeled using a mathematical process, the following step is normally to estimate the system parameters. Despite the numerous computational and statistical techniques, estimating parameters for complex systems can...
    Category수학강연회 소속포항공과대학교 강연자김진수
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  4. Subgroups of Mapping Class Groups

    The mapping class group of a surface S is the component group of orientation-preserving homeomorphisms on S. We survey geometric and algebraic aspects of this group, and introduce a technique of using right-angled Artin groups to find geomet...
    Category수학강연회 소속서울대학교 강연자김상현
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  5. 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...
    Category수학강연회 소속동국대 강연자김동한
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  6. Sums of squares in quadratic number rings

    It is usually a difficult problem to characterize precisely which elements of a given integral domain can be written as a sum of squares of elements from the integral domain. Let R denote the ring of integers in a quadratic number field. Thi...
    Category수학강연회 소속Univ. of Kentucky 강연자David Leep
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  7. Symmetry Breaking in Quasi-1D Coulomb Systems

    Symmetry Breaking in Quasi-1D Coulomb Systems
    Category수학강연회 소속서강대학교 강연자Paul Jung
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  8. Symplectic Geometry, Mirror symmetry and Holomorphic Curves

    Symplectic geometry arose from the study of classical mechanics, and later many interesting symplectic invariants has been found since Gromov introduced techniques of J-holomorphic curves. Miraculously, such invariants are closely related wi...
    Category수학강연회 소속연세대 수학과 강연자홍한솔
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  9. Symplectic topology and mirror symmetry of partial flag manifolds

    Soon after Gromov’s applications of pseudo-holomorphic curves to symplectic topology, Floer invented an infinite-dimensional Morse theory by analyzing moduli spaces of pseudo-holomorphic curves to make substantial progress on Arnold&r...
    Category수학강연회 소속부산대학교 수학과 강연자김유식
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  10. The classification of fusion categories and operator algebras

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    Category수학강연회 소속Kyoto University 강연자Masaki Izumi
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  11. The Lagrange and Markov Spectra of Pythagorean triples

    The Lagrange spectrum is the set of approximation constants in the Diophantine approximation for badly approximated numbers. It is closely related with the Markov spectrum which corresponds the minimum values of indefinite quadratic forms ov...
    Category수학강연회 소속동국대학교 강연자김동한
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  12. The Mathematics of the Bose Gas and its Condensation

    Since Bose and Einstein discovered the condensation of Bose gas, which we now call Bose-Einstein condensation, its mathematical properties have been of great importance for mathematical physics. Recently, many rigorous results have been obta...
    Category수학강연회 소속KAIST 강연자이지운
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  13. 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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  14. 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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  15. The Shape of Data

    Creating information and knowledge from large and complex data sets is one the fundamental intellectual challenges currently being faced by the mathematical sciences. One approach to this problem comes from the mathematical subdiscipline cal...
    Category수학강연회 소속Stanford University 강연자Gunnar E. Carlsson
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  16. The significance of dimensions in mathematics

    The significance of dimensions in mathematics
    Category수학강연회 소속Kyoto Univ./서울대학교 강연자Heisuke Hironaka
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  17. 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...
    Category수학강연회 소속서울대 강연자변순식
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  18. Topological aspects in the theory of aperiodic solids and tiling spaces

    After a review of various types of tilings and aperiodic materials, the notion of tiling space (or Hull) will be defined. The action of the translation group makes it a dynamical system. Various local properties, such as the notion of "Finit...
    Category수학강연회 소속Georgia Institute of Technology, School of Mathematics and School of Physics 강연자Jean V. Bellissard
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  19. Topological surgery through singularity in mean curvature flow

    The mean curvature flow is an evolution of hypersurfaces satisfying a geometric heat equation. The flow naturally develops singularities and changes the topology of the hypersurfaces at singularities, Therefore, one can study topological pr...
    Category수학강연회 소속고등과학원 강연자최경수
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  20. Topology and number theory

    We will review a number of topological themes in number theory, starting with homology and ending with a discussion arithmetic homotopy.
    Category수학강연회 소속Univ. College London/포항공대 강연자김민형
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