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  1. 2022-1 Rookies Pitch: Symplectic/Algebraic Geometry (좌동욱)

    CategoryBK21 FOUR Rookies Pitch 소속고등과학원 강연자좌동욱
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  2. 2022-1 Rookies Pitch: Algebraic Topology (송종백)

    CategoryBK21 FOUR Rookies Pitch 소속고등과학원 강연자송종백
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  3. 2022-1 Rookies Pitch:Functional Analysis (정민구)

    CategoryBK21 FOUR Rookies Pitch 소속고등과학원 강연자정민구
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  4. 2022-2 Rookies Pitch: Harmonic Analysis (오세욱)

    CategoryBK21 FOUR Rookies Pitch 소속고등과학원 강연자오세욱
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  5. 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...
    Category수학강연회 소속고등과학원 강연자오성진
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  6. 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...
    Category수학강연회 소속고등과학원 강연자강남규
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  7. 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...
    Category수학강연회 소속고등과학원 강연자김상현
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  8. 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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  9. <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...
    Category수학강연회 소속고등과학원 강연자김영훈
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  10. 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...
    Category수학강연회 소속경희대학교 강연자전준기
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  11. 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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  12. 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.
    Category수학강연회 소속경북대학교 강연자도영해
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  13. 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...
    Category수학강연회 소속건국대학교 교수, 현 산업응용수학회 회장 강연자정은옥
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  14. 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...
    Category수학강연회 소속건국대학교 강연자최인송
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  15. 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...
    Category수학강연회 소속건국대학교 강연자김태희
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  16. 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...
    Category수학강연회 소속건국대/서울대 강연자최인송
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  17. Random walks in spaces of negative curvature

    Given a group of isometries of a metric space, one can draw a random sequence of group elements, and look at its action on the space.  What are the asymptotic properties of such a random walk?  The answer depends on the geometry of the space...
    Category수학강연회 소속Yale Univ. 강연자Giulio Tiozzo
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  18. On Ingram’s Conjecture

    In this talk I will present some results in the area of topological, low-dimensional, discrete dynamical systems.
    Category수학강연회 소속University of Zagrab 강연자Sonja Stimac
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  19. A dissipative effect on some PDEs with physical singularity

    초록: In this lecture, we study various dissipative effect in a phase space from either entropy dissipation or boundary. We see how this effect leads mathematical studies on long time behavior and scale-uniform estimate of kinetic PDEs in g...
    Category수학강연회 소속University of Wisconsin-Madison 강연자김찬우
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  20. Hamiltonian dynamics, Floer theory and symplectic topology

    In this lecture, I will convey subtle interplay between dynamics of Hamiltonian flows and La-grangian intersection theory via the analytic theory of Floer homology in symplectic geometry. I will explain how Floer homology theory (`closed str...
    Category수학강연회 소속University of Wisconsin 강연자오용근
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