1. Integer partitions, q-series, and Modular forms

    In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on (1) combinatorial proof for q-series identities (2) ari...
    Category수학강연회 소속서울과학기술 대학 강연자김병찬
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  2. Infinite order rationally slice knots

    A knot is a smooth embedding of an oriented circle into the three-sphere, and two knots are concordant if they cobound a smoothly embedded annulus in the three-sphere times the interval. Concordance gives an equivalence relation, and the se...
    Category수학강연회 소속카이스트 수리과학과 강연자박정환
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  3. 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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  4. Idempotents and topologies

    A classical theorem of Jacobs, de Leeuw and Glicksberg shows that a representation of a group on a reflexive Banach space may be decomposed into a returning subspace and a weakly mixing subspace. This may be realized as arising from the idem...
    Category수학강연회 소속University of Waterloo 강연자Nico Spronk
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  5. Hybrid discontinuous Galerkin methods in computational science and engineering

    Computation facilitates to understand phenomena and processes from science and engineering; we no longer need to depend only on theory and experiment. Computational Science and Engineering (CSE) is a rapidly developing multidisciplinary area...
    Category수학강연회 소속연세대 강연자박은재
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  6. How to solve linear systems in practice

    There are basically two approaches for solving linear systems: one is to exactly solve the linear sytem such as Gaussian-elimination. The other approximates the solution in the Krylov spaces; Conjugate-gradient and General minimum residual m...
    Category수학강연회 소속이화여대 수학과 강연자민조홍
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  7. 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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  8. 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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  9. Harmonic bundles and Toda lattices with opposite sign

    In this talk, we shall discuss the semi-infinite variation of Hodge structure associated to real valued solutions of a Toda equation. First, we describe a classification of the real valued solutions of the Toda equation in terms of their par...
    Category특별강연 소속RIMS, Kyoto Univ. 강연자Takuro Mochizuki
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  10. 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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  11. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

    Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields. We sur...
    Category수학강연회 소속IBS, 포항공과대학교 강연자오용근
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  12. Green’s function for initial-boundary value problem

    In this talk, we will present an approach to construct the Green’s function for an initial boundary value problem with precise pointwise structure in the space-time domain. This approach is given in terms of transform variable and physical v...
    Category수학강연회 소속National Univ. of Singapore 강연자Shih-Hsien Yu
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  13. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

    Global result for multiple positive radial solutions of p-Laplacian system on exterior domain In this talk, we consider p-Laplacian systems with singular indefinite weights. Exploiting Amann type three solutions theorem for the singular syst...
    Category수학강연회 소속부산대학교 강연자이용훈
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  14. Geometry, algebra and computation in moduli theory

    I will explain the basic concepts of moduli and how moduli spaces can be constructed in algebraic geometry. Exploring the moduli spaces and issues arising from their construction lead to interesting interplay of geometry, algebra and computa...
    Category수학강연회 소속서울대 강연자현동훈
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  15. Geometric structures and representation spaces

    초록: Let X be a homogeneous space for a Lie group G. A (G,X)-structure on a manifold M is an atlas of coordinate charts valued in X, such that the changes of coordinates locally lie in G. It is a fundamental question to ask how many ways o...
    Category수학강연회 소속서울대학교 강연자이계선
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  16. Geometric Langlands theory: A bridge between number theory and physics

    ※ 강연 앞 부분이 잘렸습니다. (강연자료 다운: Geometric Langlands Theory [A Bridge between Number Theory and Physics] (2022.04.28).pdf ) 초록: The Langlands program consists of a tantalizing collection of surprising results and conjectures w...
    Category수학강연회 소속서울대학교 강연자유필상
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  17. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

    Category수학강연회 소속육군사관학교 강연자문미남
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  18. Gaussian free field and conformal field theory

    Ward's identities and the related concept of the stress-energy tensor are standard tools in conformal field theory. I will present a mathematical overview of these concepts and outline relations between conformal field theory and Schramm-Loe...
    Category수학강연회 소속서울대학교 강연자강남규
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  19. Freudenthal medal, Klein medal 수상자의 수학교육이론

    2000년 국제수학교육위원회( International Commission on Mathematical Instruction)는 수학교육연구에 탁월한 업적을 이룬 학자에게 수여하는 Freudenthal 메달과 Klein메달을 제정하여, 2003년 부터 홀수 해에 수상하고 있다. 이 강연에서는 2012년 서울에...
    Category수학강연회 소속서울대 수학교육과 강연자권오남
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  20. 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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