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  1. 2022-2 Rookies Pitch: Representation Theory(허태혁)

    CategoryBK21 FOUR Rookies Pitch 소속QSMS 강연자허태혁
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  2. Connes's Embedding Conjecture and its equivalent

    I will talk on Cannes's Embedding Conjecture, which is considered as one of the most important open problems in the field of operator algebras. It asserts that every finite von Neumann algebra is approximable by matrix algebras in suitable s...
    Category수학강연회 소속RIMS 강연자Narutaka Ozawa
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  3. 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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  4. Recent progress on the Brascamp-Lieb inequality and applications

    In his survey paper in the Bulletin of the AMS from 2002, R. J. Gardner discussed the Brunn-Minkowski inequality, stating that it deserves to be better known and painted a beautiful picture of its relationship with other inequalities in anal...
    Category수학강연회 소속Saitama University 강연자Neal Bez
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  5. A-infinity functor and topological field theory

    Lagrangian Floer theory in symplectic manifold associate a category (A infinity category) to a symplectic manifold. More than 20 years ago a relation of a relation between Lagrangian Floer theory and Gauge theory was studied by Floer himself...
    Category수학강연회 소속Simons Center for Geometry and Physics 강연자Kenji Fukaya
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  6. Persistent Homology

    Homology is a method for assigning signatures to geometric objects which reects the presence of various kinds of features, such as connected components, loops, spheres, surfaces, etc. within the object. Persistent homology is a methodology...
    Category특별강연 소속Stanford University 강연자Gunnar E. Carlsson
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  7. Structures on Persistence Barcodes and Generalized Persistence

    Persistent homology produces invariants which take the form of barcodes, or nite collections of intervals. There are various structures one can imposed on them to yield a useful organization of the space of all barcodes. In addition, there...
    Category특별강연 소속Stanford University 강연자Gunnar E. Carlsson
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  8. Topological Mapping of Point Cloud Data

    One of the important problems in understanding large and complex data sets is how to provide useful representations of a data set. We will discuss some existing methods, as well as topological mapping methods which use simplicial complexes ...
    Category특별강연 소속Stanford University 강연자Gunnar E. Carlsson
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  9. The Shape of Data

    Creating information and knowledge from large and complex data sets is one the fundamental intellectual challenges currently being faced by the mathematical sciences. One approach to this problem comes from the mathematical subdiscipline cal...
    Category수학강연회 소속Stanford University 강연자Gunnar E. Carlsson
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  10. 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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  11. <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

    I will give a very personal overview of the evolution of mainstream applied mathematics from the early 60's onwards. This era started pre computer with mostly analytic techniques, followed by linear stability analysis for finite difference a...
    Category수학강연회 소속UCLA 강연자Stanley Osher
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  12. 학부생을 위한 강연: 건축과 수학

    수학의 기하학, 위상학 그리고 알고리즘의 건축디자인의 적용 사례 및 이론적 배경
    Category수학강연회 소속UI 건축사무소 강연자위진복
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  13. <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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  14. 2023-2 Number Theory (권재성)

    CategoryBK21 FOUR Rookies Pitch 소속UNIST 강연자권재성
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  15. 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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  16. Counting number fields and its applications

    It is a fascinating and challenging problem to count number fields with bounded discriminant. It has so many applications in number theory. We give two examples. First, we compute the average of the smallest primes belonging to a conjugacy ...
    Category수학강연회 소속UNIST 강연자조재현
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  17. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

    초록 첨부: Void.pdf
    Category수학강연회 소속Univ. Bremen 강연자Keivan Mallahi-Karai
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  18. Topology and number theory

    We will review a number of topological themes in number theory, starting with homology and ending with a discussion arithmetic homotopy.
    Category수학강연회 소속Univ. College London/포항공대 강연자김민형
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  19. Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

    In this talk, we will consider the hyperbolic Kac-Moody algebra associated to a certain rank 3 Cartan matrix and generalized Kac-Moody algebras that contain the hyperbolic Kac-Moody algebra. The denominator funtions of the generalized Kac-Mo...
    Category수학강연회 소속Univ. of Connecticut 강연자이규환
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  20. Sums of squares in quadratic number rings

    It is usually a difficult problem to characterize precisely which elements of a given integral domain can be written as a sum of squares of elements from the integral domain. Let R denote the ring of integers in a quadratic number field. Thi...
    Category수학강연회 소속Univ. of Kentucky 강연자David Leep
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