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  1. <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

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    Category수학강연회 소속KAIST 강연자엄상일
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  2. The classification of fusion categories and operator algebras

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    Category수학강연회 소속Kyoto University 강연자Masaki Izumi
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  3. 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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  4. Mechanization of proof: from 4-Color theorem to compiler verification

    I will give a broad introduction to how to mechanize mathematics (or proof), which will be mainly about the proof assistant Coq. Mechanizing mathematics consists of (i) defining a set theory, (2) developing a tool that allows writing definit...
    Category수학강연회 소속서울대 컴퓨터공학부 강연자허충길
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  5. 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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  6. 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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  7. Zeros of the derivatives of the Riemann zeta function

    I will introduce behavior of the derivatives of the Riemann zeta function.
    Category수학강연회 소속연세대 강연자기하서
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  8. 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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  9. 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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  10. 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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  11. What is model theory?

    I will introduce the basic notions of model theory, a branch of mathematical logic, and survey its applications to other areas of mathematics such as analysis, algebra, combinatorics and number theory. If time permits I will present recent w...
    Category수학강연회 소속연세대 강연자김병한
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  12. 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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  13. 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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  14. Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)

    이 강연에서는 최근 음악, 영화 추천 등 다양한 Recommendation System의 기본 아이디어인 Matrix Completion 문제와, 이를 해결하기 위해 Singular Value Decomposition을 통한 차원 축소 및 내재 공간 학습이 어떤 원리로 이루어 지는지 설명합니다. 그리고 ...
    Category수학강연회 소속서울대 전기공학부 강연자정교민
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  15. Deformation spaces of Kleinian groups and beyond

    From 1980’s, the study of Kleinian groups has been carried out in the framework of the paradigm of “Thurston’s problems”. Now they are all solved, and we can tackle deeper problems; for instance to determine the topological types of the defo...
    Category수학강연회 소속Osaka University 강연자Kenichi Ohshika
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  16. 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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  17. 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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  18. Existence of positive solutions for φ-Laplacian systems

    SNU-LeeAbstract.pdf
    Category수학강연회 소속이용훈 강연자수학강연회,특별강연,대중강연
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  19. Riemann-Hilbert correspondence for irregular holonomic D-modules

    The original Riemann-Hilbert problem is to construct a liner ordinary differential equation with regular singularities whose solutions have a given monodromy. Nowadays, it is formulated as a categorical equivalence of the category of regular...
    Category수학강연회 소속서울대학교/RIMS 강연자Masaki Kashiwara
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  20. 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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