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  1. <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

    Convergence of Fourier series and integrals is the most fundamental question in classical harmonic analysis from its beginning. In one dimension convergence in Lebesgue spaces is fairly well understood. However in higher dimensions the probl...
    Category수학강연회 소속서울대 강연자이상혁
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  2. An introduction to hyperplane arrangements

    A hyperplane arrangement is an arrangement of a finite set of hyperplanes in some vector space. Hyperplane arrangements generalize other famous combinatorial objects such as graphs and matroids. In this talk, we introduce a characteristic po...
    Category수학강연회 소속서울대 강연자이승진
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  3. Creation of concepts for prediction models and quantitative trading

    Modern mathematics with axiomatic systems has been developed to create a complete reasoning system. This was one of the most exciting mathematical experiments. However, even after the failure of the experiment, mathematical research is still...
    Category수학강연회 소속Haafor 강연자이승환
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  4. On function field and smooth specialization of a hypersurface in the projective space

    In this talk, we will discuss two interesting problems on hypersurfaces in the projective space. The first one is the absolute Galois theory on the function field of a very general hypersurface in the projective space. The other one is the c...
    Category수학강연회 소속KAIST 강연자이용남
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  5. 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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  6. <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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  7. Averaging formula for Nielsen numbers

    We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | ...
    Category수학강연회 소속서강대학교 강연자이종범
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  8. The Mathematics of the Bose Gas and its Condensation

    Since Bose and Einstein discovered the condensation of Bose gas, which we now call Bose-Einstein condensation, its mathematical properties have been of great importance for mathematical physics. Recently, many rigorous results have been obta...
    Category수학강연회 소속KAIST 강연자이지운
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  9. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

    Magnetic Resonance Electrical Impedance Tomography (MREIT) is a late medical imaging modality visualizing static conductivity images of electrically conducting subjects. When we inject current into the object, it produces internal distributi...
    Category수학강연회 소속KAIST 강연자이창옥
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  10. 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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  11. Analysis and computations of stochastic optimal control problems for stochastic PDEs

    Many mathematical and computational analyses have been performed for deterministic partial differential equations (PDEs) that have perfectly known input data. However, in reality, many physical and engineering problems involve some level of ...
    Category수학강연회 소속아주대 강연자이형천
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  12. Non-commutative Lp-spaces and analysis on quantum spaces

    In this talk we will take a look at analysis on quantum spaces using non-commutative Lp spaces. We will first review what a non-commutative Lpspace is, and then we will see few examples of quantum spaces where Lp analysis problems arise natu...
    Category수학강연회 소속서울대학교 강연자이훈희
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  13. Alice and Bob meet Banach and von Neumann

    양자컴퓨터와 양자암호로 대표되는 양자기술의 응용이 대두되면서 그 기반이 되는 양자정보학에 대한 관심이 그 어느때보다 높다. 양자정보학은 양자상태의 정보량 및 양자상태를 전송할 때 전달되는 정보량을 분석하고자 하는 목표를 가지고 있는데 많은 경우...
    Category수학강연회 소속서울대 강연자이훈희
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  14. Cloaking via Change of Variables

    We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the bounda...
    Category수학강연회 소속KAIST 강연자임미경
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  15. Volume entropy of hyperbolic buildings

    Volume entropy of a compact manifold is the exponential growth rate of balls in the universal cover. This seemingly coarse invariant contains a lot of geometric information of the manifold. We will discuss some relations to other invariants,...
    Category수학강연회 소속서울대 강연자임선희
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  16. Randomness of prime numbers

    Ergodic theory of horocycle flow and nilflow has been proved to be useful for analyzing the randomness of Mobius function, a function which reveals the mystery of prime numbers. In this survey talk, we will introduce Mobius function and seve...
    Category수학강연회 소속서울대학교 강연자임선희
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  17. Brownian motion and energy minimizing measure in negative curvature

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    Category수학강연회 소속서울대학교 강연자임선희
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  18. <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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  19. Fixed points of symplectic/Hamiltonian circle actions

    A circle action on a manifold can be thought of as a periodic flow on a manifold (periodic dynamical system), or roughly a rotation of a manifold. During this talk, we consider symplectic/Hamiltonian circle actions on compact symplectic mani...
    Category수학강연회 소속부산대 수학과 강연자장동훈
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  20. <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI

    인공지능은 지난 60년 동안 큰 변화를 거쳤다. 초기의 논리기호기반 연역적 지능 시스템 패러다임에서 현재의 데이터기반 귀납적 지능 시스템 패러다임으로 전환되었다. 이제는 인공지능을 개발하기 위해서 사람이 더 이상 직접 프로그래밍하지 않는다. 사람은...
    Category수학강연회 소속서울대학교 컴퓨터공학부 강연자장병탁
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