1. 행렬함수 Permanent의 극소값 결정과 미해결 문제들

    볼록다면체에서 permanent 함수의 최소값은 얼마인가? 그 때의 최소행렬은 어떤 형태인가? 그리고 이중확률구조를 갖는 행렬들에 대하여 제약조건이 주어지면 볼록다면체의 면 위에서 permanent 함수의 최소값들은 어떻게 결정하는가? 등에 관하여 연구된 내용...
    CategoryMath Colloquia Dept.제주대학교/서울대학교 Lecturer송석준
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  2. Structural stability of meandering-hyperbolic group actions

    Sullivan sketched a proof of his structural stability theorem for differentiabl group actions satisfying certain expansion-hyperbolicity axioms. We relax Sullivan’s axioms and introduce a notion of meandering hyperbolicity for group a...
    CategoryMath Colloquia Dept.제주대학교 Lecturer김성운
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  3. Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

    We present a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer potentials and symmetrizati...
    CategoryMath Colloquia Dept.인하대학교 Lecturer강현배
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  4. <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision

    In recent years, artificial intelligence has made remarkable progress in developing algorithms that can learn from vast amounts of carefully labeled data. This paradigm of supervised learning has made great success in training specialist mo...
    CategoryMath Colloquia Dept.인하대학교 Lecturer현윤석
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  5. 2021-2 Rookies Pitch: Number Theory (김지구)

    CategoryBK21 FOUR Rookies Pitch Dept.이화여자대학교 Lecturer김지구
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  6. How to solve linear systems in practice

    There are basically two approaches for solving linear systems: one is to exactly solve the linear sytem such as Gaussian-elimination. The other approximates the solution in the Krylov spaces; Conjugate-gradient and General minimum residual m...
    CategoryMath Colloquia Dept.이화여대 수학과 Lecturer민조홍
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  7. <학부생을 위한 ɛ 강연> 196884=196883+1

    In late 1970's John McKay discovered the astonishing identity 196884=196883+1, which lead Conway and Norton to formulate the famous Monstrous Moonshine conjectures about the Monster group, the largest sporadic finite simple group. The simple...
    CategoryMath Colloquia Dept.이화여대 Lecturer김현규
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  8. Existence of positive solutions for φ-Laplacian systems

    CategoryMath Colloquia Dept.이용훈 Lecturer수학강연회,특별강연,대중강연
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  9. <학부생을 위한 ɛ 강연> 서비스 진보의 관점에서 본 AI technology

    기술적 관점에서 AI Technology를 가볍게 살펴보고, 소개하는 서비스 별로 AI를 접목했을 때 어떤 진보 혹은 혁신이 가능한지, 그로 인해 어떤 사업적 가능성이 있는지를 살펴보겠습니다. AI 는 모두가 생각하는 장미빛 청사진 만을 가진것이 아니라 과거의 많...
    CategoryMath Colloquia Dept.이스트소프트 대표 Lecturer정상원
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  10. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

    CategoryMath Colloquia Dept.육군사관학교 Lecturer문미남
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  11. 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.
    CategoryMath Colloquia Dept.연세대학교 Lecturer기하서
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  12. 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...
    CategoryMath Colloquia Dept.연세대학교 Lecturer송홍엽
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  13. On the Schauder theory for elliptic PDEs

    CategoryMath Colloquia Dept.연세대학교 Lecturer김세익
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  14. <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations

    사회에 대한 연구는 모형 중심의 연구와 자료 중심의 연구로 나눠볼 수 있다. 최근 빅데이터를 비롯한 자료 형태의 혁신은 연구의 중심을 모형 중심에서 자료 중심으로 옮기는 듯 하다. 그러나 "변수"를 중심으로 혁신적 자료를 활용한다면 여전히 모형이 과학...
    CategoryMath Colloquia Dept.연세대학교 Lecturer강정한
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  15. Birational Geometry of varieties with effective anti-canonical divisors

    Fano varieties are fundamental objects in algebraic geometry. These can be considered as the unique output of the -K -minimal model program on the varieties with effective anticanonical divisors. Thus the initial models should encode the in...
    CategoryMath Colloquia Dept.연세대학교 Lecturer최성락
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  16. Circular maximal functions on the Heisenberg group

    The spherical average has been a source of many problems in harmonic analysis. Since late 90's, the study of the maximal spherical means on the Heisenberg group $mathbb{H}^n$ has been started to show the pointwise ergodic theorems on the gro...
    CategoryMath Colloquia Dept.연세대 수학과 Lecturer김준일
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  17. Symplectic Geometry, Mirror symmetry and Holomorphic Curves

    Symplectic geometry arose from the study of classical mechanics, and later many interesting symplectic invariants has been found since Gromov introduced techniques of J-holomorphic curves. Miraculously, such invariants are closely related wi...
    CategoryMath Colloquia Dept.연세대 수학과 Lecturer홍한솔
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  18. Zeros of the derivatives of the Riemann zeta function

    I will introduce behavior of the derivatives of the Riemann zeta function.
    CategoryMath Colloquia Dept.연세대 Lecturer기하서
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  19. 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...
    CategoryMath Colloquia Dept.연세대 Lecturer김병한
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  20. Hybrid discontinuous Galerkin methods in computational science and engineering

    Computation facilitates to understand phenomena and processes from science and engineering; we no longer need to depend only on theory and experiment. Computational Science and Engineering (CSE) is a rapidly developing multidisciplinary area...
    CategoryMath Colloquia Dept.연세대 Lecturer박은재
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