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  1. <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI

    In this talk, I will introduce the audience to the original beauty that leads to exploring the mathematical elements in music. I will cover the following topics on the connection between music and mathematics. - Harmonics & equations - ...
    Category수학강연회 소속피아니스트 강연자임현정
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  2. 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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  3. Heavy-tailed large deviations and deep learning's generalization mystery

    Abstract: While the typical behaviors of stochastic systems are often deceptively oblivious to the tail distributions of the underlying uncertainties, the ways rare events arise are vastly different depending on whether the underlying tail ...
    Category수학강연회 소속Northwestern University 강연자이창한
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  4. Diophantine equations and moduli spaces with nonlinear symmetry

    A fundamental result in number theory is that, under certain linear actions of arithmetic groups on homogeneous varieties, the integral points of the varieties decompose into finitely many orbits. For a classical example, the set of integra...
    Category수학강연회 소속서울대학교 강연자황준호
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  5. <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces

    The invariant subspace problem is one of the longstanding open problem in the field of functional analysis and operator theory. It is due to J. von Neumann (in 1932) and is stated as: Does every operator have a nontrivial invariant subspace...
    Category수학강연회 소속서울대학교 강연자이우영
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  6. <정년퇴임 기념강연> The Elements of Euclid

    The thirteen books "Elements" were written or collected by Euclid of Alexandria about 300 BCE. Many think that "Elements" is the most important example of deductive mathematics. In fact, the Common Notions and the Postulates of Elements are...
    Category수학강연회 소속서울대/광주과학기술원 강연자김홍종
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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. <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem

    We describe some of the history of the three-body problem and how it lead to symplectic geometry. We start by sketching Poincare’s prize-winning work, and discuss how it lead to the birth of the fields of dynamical systems and symplec...
    Category수학강연회 소속서울대학교 강연자Otto van Koert
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  9. WGAN with an Infinitely wide generator has no spurious stationary points

    Generative adversarial networks (GAN) are a widely used class of deep generative models, but their minimax training dynamics are not understood very well. In this work, we show that GANs with a 2-layer infinite-width generator and a 2-layer...
    Category수학강연회 소속서울대학교 강연자류경석
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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. One and Two dimensional Coulomb Systems

    Coulomb Gases are point processes consisting of particles whose pair interaction is governed by the Coulomb potential. There is also an external potential which confines the particles to a region. Wigner introduced this toy model for the Gi...
    Category수학강연회 소속카이스트 강연자폴정
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  12. 2021-2 Rookies Pitch: Stochastic Analysis (이해성)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자이해성
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  13. 2021-2 Rookies Pitch: Probability Theory (조수빈)

    CategoryBK21 FOUR Rookies Pitch 소속서울대학교 수리과학부 강연자조수빈
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  14. Ill-posedness for incompressible Euler equations at critical regularit

    We obtain a quantitative and robust proof that incompressible fluid models are strongly ill-posed in critical Sobolev spaces, in the sense that norm inflation and even nonexistence occur for critical initial data. We then show how to use th...
    Category수학강연회 소속서울대학교 강연자정인지
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  15. 2021-2 Rookies Pitch: Low Demensional Topology (이동수)

    CategoryBK21 FOUR Rookies Pitch 소속QSMS 강연자이동수
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  16. 2021-2 Rookies Pitch: Geometric Topology (김경로)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자김경로
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  17. 허준이 교수 호암상 수상 기념 강연 (Lorentzian Polynomials)

    본격적인 강연은 1:56 부터 시작됩니다. 강연파일은 아래 첨부를 참고하시기 바랍니다. Lorentzian polynomials.pdf
    Category특별강연 소속Professor, Stanford University 강연자허준이 교수
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  18. 2021-1 Rookies Pitch: Number Theory (김예슬)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자김예슬
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  19. 2021-1 Rookies Pitch: Representation Theory (최승일)

    영상초기에 음향문제로 소리가 들리지 않습니다. 영상 3분 17초 부터 나오기 시작합니다.
    CategoryBK21 FOUR Rookies Pitch 소속QSMS 강연자최승일
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  20. 2021-1 Rookies Pitch: Optimization Theory (이다빈)

    CategoryBK21 FOUR Rookies Pitch 소속IBS-DIMAG 강연자이다빈
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