1. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

    CategoryMath Colloquia Dept.동양대학교 Lecturer진중권
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  2. 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...
    CategoryMath Colloquia Dept.동국대학교 Lecturer김동한
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  3. 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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  4. Conformal field theory and noncommutative geometry

    Conformal field theory and noncommutative geometry
    CategoryMath Colloquia Dept.동경대학교 LecturerKawahigashi
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  5. 돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가?)

    1. 금본위제, 달러, 비트코인 등 돈의 흐름으로 보는 세계사 2. 사람은 어떻게 생각하고 행동하는가 ? (행동경제학, 비선형성) 3. 돈에 대한 생각, 행동, 습관을 바꾸어보자. (부자들은 무엇이 다른가 ? 지금부터 준비해보자.) 4. 주식, 부동산 등 자산관리 [...
    CategoryMath Colloquia Dept.농협은행 Lecturer홍순옥
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  6. Codimension Three Conjecture

    We proved the codimension three conjecture that says the micro-local perverse sheaves extend if it is defined outside odimension three (counting from Lagrangian subvarity). It is a joint work with Kari Vilonen.
    CategoryMath Colloquia Dept.교토대학교/서울대학교 LecturerMasaki Kashiwara
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  7. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

    Stochastic Model, Integrals 그리고 PDE의 기본 개념과 최신 연구 동향을 소개한다.
    CategoryMath Colloquia Dept.고려대학교 Lecturer김경훈
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  8. 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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  9. 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...
    CategoryMath Colloquia Dept.고등과학원 Lecturer강남규
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  10. On circle diffeomorphism groups

    For each natural number k, the C^k diffeomorphisms of the circle form a group with function compositions. This definition even extends to real numbers k no less than one by Hölder continuity. We survey algebraic properties of this grou...
    CategoryMath Colloquia Dept.고등과학원 Lecturer김상현
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  11. 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...
    CategoryMath Colloquia Dept.고등과학원 Lecturer최경수
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  12. <학부생을 위한 ɛ 강연> 양자상태의 기하학

    고전컴퓨터는 모든 정보를 이진수로 표현하여 계산을 0과 1의 전기신호로 구현하는데 반해서 양자컴퓨터는 정보를 벡터(양자상태)로 표현하여 유니터리 변환을 통해 계산을 수행한다. 양자컴퓨터가 관심을 끄는 이유는 얽힌 양자상태 덕분에 빠른 계산이 가능...
    CategoryMath Colloquia Dept.고등과학원 Lecturer김영훈
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  13. Free boundary problems arising from mathematical finance

    Many problems in financial mathematics are closely related to the stochastic optimization problem because the optimal decision must be made under the uncertainty. In particular, optimal stopping, singular control, and optimal switching prob...
    CategoryMath Colloquia Dept.경희대학교 Lecturer전준기
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  14. 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 Then we compare Fitch with more well-...
    CategoryMath Colloquia Dept.경북대학교 Lecturer정주희
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  15. High dimensional nonlinear dynamics

    In this talk, I am trying to introduce “what is high dimensional chaos” and also my research works in this area.
    CategoryMath Colloquia Dept.경북대학교 Lecturer도영해
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  16. Regularity for non-uniformly elliptic problems

    In this talk, we investigate some regularity results for non-uniformly elliptic problems. We first present uniformly elliptic problems and the definition of non-uniform ellipticity. We then introduce a double phase problem which is characte...
    CategoryMath Colloquia Dept.경북대학교 Lecturer오제한
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  17. Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza

    Emerging infectious diseases have long been recognized as a continuous, inevitable, unpredictable threat to the global public health. Hence, understanding the underlying dynamics why they spread and what causes epidemics gives key ideas of i...
    CategoryMath Colloquia Dept.건국대학교 교수, 현 산업응용수학회 회장 Lecturer정은옥
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  18. 원의 유리매개화에 관련된 수학

    The spaces admitting a rational parameterization are called rational. In particular plane conics, including circles, are rational. We will explain a few interesting applications of the rational parameterization of a circle. Also several exam...
    CategoryMath Colloquia Dept.건국대학교 Lecturer최인송
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  19. 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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  20. 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic

    Trisection of an angle and duplication of a cube are among the famous problems of Greeks. Although they were proven later to be impossible in general, Greeks already knew that one can trisect an angle and duplicate a cube by supplimenting se...
    CategoryMath Colloquia Dept.건국대/서울대 Lecturer최인송
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