1. Theory and applications of partial differential equations

    I will talk in general about theory and applications of partial differential equations. A recent progress in the regularity theory for nonlinear problems will be also discussed, including uniform estimates of solutions in various function sp...
    Category수학강연회 소속서울대 강연자변순식
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  2. 2022-2 Rookies Pitch: Probability Theory (변성수)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS 강연자변성수
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  3. 1 is big enough to understand 3

    We discuss how the closed connected 1-dimensional manifold, namely the circle, can help understanding 3-manifolds. We describe so-called the universal circle proposed by a lengendary mathematician, William Thurston, and discuss certain gene...
    Category수학강연회 소속카이스트 강연자백형렬
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  4. Essential dimension of simple algebras

    The notion of essential dimension was introduced by Buhler and Reichstein in the late 90s. Roughly speaking, the essential dimension of an algebraic object is the minimal number of algebraically independent parameters one needs to define the...
    Category수학강연회 소속KAIST 강연자백상훈
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  5. <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations

    In this talk, I will briefly introduce some properties of the incompressible Navier-Stokes equations. Then, I will review some classical results obtained by harmonic analysis tools.
    Category수학강연회 소속UNIST 강연자배한택
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  6. Mixed type PDEs and compressible flow

    If density of flow is globally a constant, then the flow is said incompressible. Otherwise, the flow is said compressible. Flow motion of compressible inviscid flow is governed by Euler system. The Euler system is a nonlinear PDE system desc...
    Category수학강연회 소속POSTECH 강연자배명진
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  7. 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 ...
    Category수학강연회 소속포항공과대학교 강연자박형주
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  8. 2022-2 Rookies Pitch: Algebraic Geometry (박현준)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS 강연자박현준
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  9. 2021-1 Rookies Pitch: PDE, Dynamical Systems (박한솔)

    CategoryBK21 FOUR Rookies Pitch 소속수리과학부 강연자박한솔
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  10. 2021-1 Rookies Pitch: PDE, Regularity Theory (박진완)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자박진완
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  11. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

    In this talk, I will explain a relationship of the Chern-Simons invariant and the eta invariant for Schottky hyperbolic manifolds. The relating formula involves a defect term given by the Bergman tau function over the conformal boundary Riem...
    Category수학강연회 소속KIAS 강연자박진성
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  12. Iwasawa main conjecture and p-adic L-functions

    The theory of L-functions and zeta functions have been the key subject of mathematical research during the centuries since the Riemann zeta function was introduced and its important connection to the arithmetic of the integer was recognized....
    Category수학강연회 소속포항공과대학교 강연자박지훈
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  13. 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds

    Despite of the fact that 4-dimensional manifolds together with 3-dimensional manifolds are the most fundamental and important objects in geometry and topology and topologists had great achievements in 1960's, there has been little known on 4...
    Category특별강연 소속서울대학교 강연자박종일
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  14. 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...
    Category수학강연회 소속포항공과대학교 강연자박종국
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  15. 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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  16. 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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  17. 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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  18. 2022-1 Rookies Pitch: Symplectic Topology (문지연)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자문지연
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  19. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

    Category수학강연회 소속육군사관학교 강연자문미남
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  20. 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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