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  1. 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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  2. 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...
    CategoryMath Colloquia Dept.서울대학교 Lecturer김상현
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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...
    CategoryMath Colloquia Dept.포항공과대학교 Lecturer김진수
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  4. Structures on Persistence Barcodes and Generalized Persistence

    Persistent homology produces invariants which take the form of barcodes, or nite collections of intervals. There are various structures one can imposed on them to yield a useful organization of the space of all barcodes. In addition, there...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
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  5. 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-...
    CategoryMath Colloquia Dept.경북대학교 Lecturer정주희
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  6. Structural stability of meandering-hyperbolic group actions

    Sullivan sketched a proof of his structural stability theorem for differentiabl group actions satisfying certain expansion-hyperbolicity axioms. We relax Sullivan’s axioms and introduce a notion of meandering hyperbolicity for group a...
    CategoryMath Colloquia Dept.제주대학교 Lecturer김성운
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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...
    CategoryMath Colloquia Dept.인하대학교 Lecturer강현배
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  8. Space.Time.Noise

    It has been more than thirty years since white noise analysis was launched systematically. It is now a good time to have an overview of the theory and to reflect on its advantages in order to anticipate further developments of this theory. O...
    CategoryMath Colloquia Dept.Meijo University LecturerTakeyuki Hida
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  9. 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...
    CategoryMath Colloquia Dept.Oklahoma State Univ. Lecturer구자언
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  10. Sheaf quantization of Hamiltonian isotopies and non-displacability problems

    Sheaf quantization of Hamiltonian isotopies and non-displacability problems
    CategoryMath Colloquia Dept.Kyoto Univ./서울대학교 LecturerMasaki Kashiwara
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  11. Seoul ICM 2014 유치과정 개요 및 준비전략

    국제수학자대회(ICM, International Congress of Mathematicians)는 1897년 쮜리히에서 처음 개최되었고, 매 4년마다 개최된다. 100여국 4천여 명 정도의 규모로 9일 동안 계속된다. 우리시대 최고의 수학자들이 참여하며, 필즈상(Fields Medal)을 개막식에서 ...
    CategoryMath Colloquia Dept.포항공과대학교 Lecturer박형주
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  12. Seifert fiberings

    There are three Bieberbach theorems on flat Riemannian manifolds; characterization, rigidity and finiteness. These extend to almost flat manifolds. We discuss characterization, rigidity and finiteness of infra-nilmanifolds (almost flat manif...
    CategoryMath Colloquia Dept.University of Oklahoma Lecturer이경배
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  13. Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition

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    CategoryMath Colloquia Dept.서울대학교 Lecturer최형인
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  14. Satellite operators on knot concordance

    Concordance is a relation which classifies knots in 3-space via surfaces in 4-space, and it is closely related with low dimensional topology. Satellite operators are one of the main tools in the study of knot concordance, and it has been wi...
    CategoryMath Colloquia Dept.건국대학교 Lecturer김태희
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  15. Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

    In this talk, we will consider the hyperbolic Kac-Moody algebra associated to a certain rank 3 Cartan matrix and generalized Kac-Moody algebras that contain the hyperbolic Kac-Moody algebra. The denominator funtions of the generalized Kac-Mo...
    CategoryMath Colloquia Dept.Univ. of Connecticut Lecturer이규환
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  16. 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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  17. Riemann-Hilbert correspondence for irregular holonomic D-modules

    The original Riemann-Hilbert problem is to construct a liner ordinary differential equation with regular singularities whose solutions have a given monodromy. Nowadays, it is formulated as a categorical equivalence of the category of regular...
    CategoryMath Colloquia Dept.서울대학교/RIMS LecturerMasaki Kashiwara
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  18. Restriction theorems for real and complex curves

    We will talk about the Fourier restriction theorems for non-degenerate and degenerate curves in Euclidean space Rd. This problem was first studied by E. M. Stein and C. Fefferman for the circle and sphere, and it still remains an unsolved pr...
    CategoryMath Colloquia Dept.포항공과대학교 Lecturer박종국
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  19. 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...
    CategorySpecial Colloquia Dept.Dep. Math., Kyoto Univ. LecturerYoshio Tsutsumi
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  20. Regularity theory for nonlocal equations

    Nonlocal equations, often modeled using the fractional Laplacian, have received significant attention in recent years. In this talk, we will briefly overview how the classical regularity theory for second-order (elliptic) PDEs (in divergenc...
    CategoryMath Colloquia Dept.한양대학교 Lecturer김민현
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