1. Codimension Three Conjecture

    We proved the codimension three conjecture that says the micro-local perverse sheaves extend if it is defined outside odimension three (counting from Lagrangian subvarity). It is a joint work with Kari Vilonen.
    Category수학강연회 소속교토대학교/서울대학교 강연자Masaki Kashiwara
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  2. 학부생을 위한 강연: 건축과 수학

    수학의 기하학, 위상학 그리고 알고리즘의 건축디자인의 적용 사례 및 이론적 배경
    Category수학강연회 소속UI 건축사무소 강연자위진복
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  3. Classical and Quantum Probability Theory

    We start with the famous Heisenberg uncertainty principle to give the idea of the probability in quantum mechanics. The Heisenberg uncertainty principle states by precise inequalities that the product of uncertainties of two physical quantit...
    Category수학강연회 소속충북대학교 강연자지운식
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  4. 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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  5. 학부생을 위한 강연: Choi's orthogonal Latin Squares is at least 61 years earlier than Euler's

    조선시대 영의정을 지낸 최석정(1646-1715)은 그의 저서 구수략에 여러 크기의 직교라틴방진을 남겼는데 이는 combinatorial mathematics의 효시로 알려진 Leonhard Euler(1707?1783) 의 직교라틴방진보다도 적어도 61년이 앞서는 기록이다. 놀랍게도 최석정이...
    Category수학강연회 소속연세대학교 강연자송홍엽
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  6. 젊은과학자상 수상기념강연: From particle to kinetic and hydrodynamic descriptions to flocking and synchronization

    In this talk, I will report a recent progress for the modeling of collective behaviors of complex systems, in particular ocking and synchronization. Flocking and synchro-nization are ubiquitous in our daily life, for example, ocking of birds...
    Category수학강연회 소속서울대학교 강연자하승열
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  7. 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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  8. Fano manifolds of Calabi-Yau Type

    Fano manifolds of Calabi-Yau Type
    Category수학강연회 소속서울대학교 강연자Atanas Iliev
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  9. 곡선의 정의란 무엇인가?

    곡선은 방정식, 매개화된 곡선의 동치류, 모듈 등의 다양한 관점에서 정의될 수 있다. 미끈한 곡선의 경우는 모든 정의들이 본질적으로 동등하지만 이들의 극한을 취하면 관점에 따라 완전히 다른 답들이 얻어진다. 따라서 미끈한 곡선들의 집합은 관점에 따라...
    Category수학강연회 소속서울대학교 강연자김영훈
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  10. The significance of dimensions in mathematics

    The significance of dimensions in mathematics
    Category수학강연회 소속Kyoto Univ./서울대학교 강연자Heisuke Hironaka
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  11. Fermat´s last theorem

    Fermat´s last theorem
    Category수학강연회 소속카이스트 강연자최서현
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  12. It all started with Moser

    We survey work on a class of nonlinear elliptic PDEs that was initiated by Moser. Methods from PDE, dynamical systems, and geometry set in the framework of the calculus of variations are used to construct a rich collection of solutions.
    Category수학강연회 소속Univ. of Wisconsin/포항공대 강연자Paul Rabinowitz
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  13. On some nonlinear elliptic problems

    On some nonlinear elliptic problems
    Category수학강연회 소속Paul Sabatier University, Toulouse 강연자Yuri Egorov
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  14. 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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  15. Conservation laws and differential geometry

    A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensional Riemannian manifold M2 which can be realized as isometric immersions into R3. This problem can be formulated as initial and/or boundary ...
    Category수학강연회 소속Univ. of Wisconsin 강연자Marshall Slemrod
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  16. 학부학생을 위한 강연회: 기하학과 우주론

    우리의 직관에 의하면 우주는 4차원으로 이루어져있다. 달리 말하면 우리가 어떤 사건을 기술 할 때 네 개의 숫자(공간3 + 시간1) 이면 충분하다는 것 이다. 세상에 다른 여분의 차원이 더 있다고 가정 여러 물리 법칙을 통일적으로 기술할 수 있음이 알려졌다...
    Category수학강연회 소속홍익대학교 강연자이남훈
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  17. Zeros of linear combinations of zeta functions

    We will introduce the behavior of zeros of linear combinations of zeta functions. Those linear combinations are related to the Riemann zeta function, the Eisenstein series, Periods, etc.
    Category수학강연회 소속연세대학교 강연자기하서
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  18. Counting circles in Apollonian circle packings and beyond

    Counting circles in Apollonian circle packings and beyond
    Category수학강연회 소속Brown Univ. 강연자오희
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  19. Sheaf quantization of Hamiltonian isotopies and non-displacability problems

    Sheaf quantization of Hamiltonian isotopies and non-displacability problems
    Category수학강연회 소속Kyoto Univ./서울대학교 강연자Masaki Kashiwara
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  20. Limit computations in algebraic geometry and their complexity

    Given a one-parameter family of algebraic varieties, its point-wise limit is usually too small whereas its algebraic limit is usually too big. I will introduce a notion of meaningful geometric limit and explain how it can be effectively comp...
    Category수학강연회 소속POSTECH 강연자현동훈
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