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  1. Noise-induced phenomena in stochastic heat equations

    Stochastic heat equations (SHE) usually refer to heat equations perturbed by noise and can be a model for the density of diffusing particles under a random potential. When the irregularity of noise is dominating the diffusion, SHE exhibits ...
    Category수학강연회 소속포항공대 강연자김건우
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  2. 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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  3. Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry

    A general goal of noncommutative geometry (in the sense of A. Connes) is to translate the main tools of differential geometry into the Hilbert space formalism of quantum mechanics by taking advantage of the familiar duality between spaces an...
    Category수학강연회 소속서울대학교 강연자Raphael Ponge
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  4. Noncommutative Surfaces

    Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, one...
    Category수학강연회 소속서강대학교 강연자Jens Hoppe
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  5. Nonlocal generators of jump type Markov processes

    Empirical observations have shown that for an adequate description of many random phenomena non-Gaussian processes are needed. The paths of these Markov processes necessarily have jumps. Their generators are nonlocal operators which admit a ...
    Category수학강연회 소속University of Bielefeld 강연자Walter Hoh
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  6. Normal form reduction for unconditional well-posedness of canonical dispersive equations

    Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the not...
    Category수학강연회 소속KAIST 강연자권순식
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  7. Number theoretic results in a family

    Unconditional results without an unproved hypothesis such as the generalized Riemann hypothesis (GRH) are very weak for an individual number field. But if we consider a family of number fields, one can prove just as strong results as we woul...
    Category수학강연회 소속Univ. of Toronto / KIAS 강연자Kim, Henry
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  8. 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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  9. 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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  10. 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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  11. On some nonlinear elliptic problems

    On some nonlinear elliptic problems
    Category수학강연회 소속Paul Sabatier University, Toulouse 강연자Yuri Egorov
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  12. On the distributions of partition ranks and cranks

    To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi for...
    Category수학강연회 소속서울과학기술대학교 강연자김병찬
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  13. On the resolution of the Gibbs phenomenon

    Since Fourier introduced the Fourier series to solve the heat equation, the Fourier or polynomial approximation has served as a useful tool in solving various problems arising in industrial applications. If the function to approximate with t...
    Category수학강연회 소속SUNY Buffalo 강연자정재훈
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  14. On the Schauder theory for elliptic PDEs

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    Category수학강연회 소속연세대학교 강연자김세익
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  15. 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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  16. Partial differential equations with applications to biology

    Partial differential equations with applications to biology
    Category수학강연회 소속POSTECH 강연자황형주
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  17. Periodic orbits in symplectic geometry

    Symplectic geometry has one of its origins in Hamiltonian dynamics. In the late 60s Arnold made a fundamental conjecture about the minimal number of periodic orbits of Hamiltonian vector fields. This is a far-reaching generalization of Poinc...
    Category수학강연회 소속서울대 강연자강정수
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  18. Q-curvature in conformal geometry

    In this talk, I will talk about the definition Q-curvature and some of its properties. Then I will talk about the problem of prescribing Q-curvature, especially I will explain the ideas of studying the problem using flow approach.
    Category수학강연회 소속서강대 강연자Pak Tung Ho
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  19. Quantitative residual non-vanishing of special values of various L-functions

    Non-vanishing modulo a prime of special values of various $L$-functions are of great importance in studying structures of relevant arithmetic objects such as class groups of number fields and Selmer groups of elliptic curves. While there hav...
    Category수학강연회 소속UNIST 강연자선해상
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  20. Quantum Dynamics in the Mean-Field and Semiclassical Regime

    The talk will review a new approach to the limits of the quantum N-body dynamics leading to the Hartree equation (in the large N limit) and to the Liouville equation (in the small Planck constant limit). This new strategy for studying both l...
    Category수학강연회 소속Ecole Polytechnique 강연자Francoise Golse
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