1. A modified separation method to solve a heat-transfer boundary value problem

    We derive a general solution of the heat equation through two modied separation methods. The obtained solution is expressed as linearly combined kernel solutions in terms of Hermite polynomials, which appears to provide an explanation of non...
    CategoryMath Colloquia Dept.서울대 경제학부 Lecturer최병선
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  2. Arithmetic of elliptic curves

    Elliptic curves defined over the rationals satisfy two finiteness properties; its group of rational points is a finitely generated abelian group and it has only finitely many points with integral coordinates. Bhargava and his collaborators e...
    CategoryMath Colloquia Dept.서울대 Lecturer김도형
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  3. <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

    Convergence of Fourier series and integrals is the most fundamental question in classical harmonic analysis from its beginning. In one dimension convergence in Lebesgue spaces is fairly well understood. However in higher dimensions the probl...
    CategoryMath Colloquia Dept.서울대 Lecturer이상혁
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  4. Trends to equilibrium in collisional rarefied gas theory

    Dynamics of many particle system can be described by PDE of probability density function. The Boltzmann equation in kinetic theory is one of the most famous equation which describes rarefied gas dynamics. One of main property of the Boltzman...
    CategoryMath Colloquia Dept.포항공과대학교 Lecturer이동현
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  5. The Lagrange and Markov Spectra of Pythagorean triples

    The Lagrange spectrum is the set of approximation constants in the Diophantine approximation for badly approximated numbers. It is closely related with the Markov spectrum which corresponds the minimum values of indefinite quadratic forms ov...
    CategoryMath Colloquia Dept.동국대학교 Lecturer김동한
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  6. 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...
    CategoryMath Colloquia Dept.Simons Center for Geometry and Physics LecturerKenji Fukaya
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  7. Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients

    In this talk I will first give a survey of recent recent results SDEs with singular coefficients. Then I will report some recent results, jointly with Longjie Xie, on critical and supercritical SDEs with singular coefficients.
    CategoryMath Colloquia Dept.University of Illinois LecturerRenming Song
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  8. Alice and Bob meet Banach and von Neumann

    양자컴퓨터와 양자암호로 대표되는 양자기술의 응용이 대두되면서 그 기반이 되는 양자정보학에 대한 관심이 그 어느때보다 높다. 양자정보학은 양자상태의 정보량 및 양자상태를 전송할 때 전달되는 정보량을 분석하고자 하는 목표를 가지고 있는데 많은 경우...
    CategoryMath Colloquia Dept.서울대 Lecturer이훈희
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  9. Congruences between modular forms

    We introduce the notion of congruences (modulo a prime number) between modular forms of different levels. One of the main questions is to show the existence of a certain newform of an expected level which is congruent to a given modular form...
    CategoryMath Colloquia Dept.서울대 Lecturer유화종
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  10. W-algebras and related topics

    A W-algebra is introduced as a symmetry algebra in 2-dimensional conformal field theory. Mathematical realization of a W-algebra was introduced by the theory of vertex algebras. Especially, W-algebras related to Lie superalgebras have been s...
    CategoryMath Colloquia Dept.서울대학교 Lecturer서의린
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  11. 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...
    CategoryMath Colloquia Dept.KAIST Lecturer이용남
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  12. <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭

    거울대칭은 수학의 다른 두 분야의 이론 간 연관관계를 제시하며, 물리학의 초끈이론에서 비롯되어 수학의 여러 분야에 지난 2~30년간 많은 영향을 주었다. 이번 강연에서는 곡면 (구, 토러스 등)에서 곡선들과 이에 둘러싸인 다각형이 만드는 기하학과 이와 ...
    CategoryMath Colloquia Dept.서울대학교 Lecturer조철현
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  13. 1 is big enough to understand 3

    We discuss how the closed connected 1-dimensional manifold, namely the circle, can help understanding 3-manifolds. We describe so-called the universal circle proposed by a lengendary mathematician, William Thurston, and discuss certain gene...
    CategoryMath Colloquia Dept.카이스트 Lecturer백형렬
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  14. Mathemaics & Hedge Fund

    헤지펀드에서 사용하고 있는 전략들을 간단히 소개하고 수학적 아이디어가 사용되는 예를 들어 퀀트의 필요한 능력을 소개한다. 수학과 헤지펀드의 관점에서 머신러닝(인공지능)의 사용 예를 설명한다.
    CategoryMath Colloquia Dept.지큐자산운용 Lecturer김택근
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  15. Unique ergodicity for foliations

    CategoryMath Colloquia Dept.Université Paris-Sud LecturerNessim Sibony
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  16. Conformal field theory in mathematics

    Since Belavin, Polyakov, and Zamolodchikov introduced conformal field theory as an operator algebra formalism which relates some conformally invariant critical clusters in two-dimensional lattice models to the representation theory of Viraso...
    CategoryMath Colloquia Dept.고등과학원 Lecturer강남규
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  17. <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system

    최근, 노트북, 비디오 카메라, 휴대용 전화기 등과 같은 휴대용 전자 제품의 수요가 급격하게 증대되고, 전기 자동차, 에너지 저장용 축전지, 로봇, 위성 등의 개발이 본격화됨에 따라, 반복적인 충방전이 가능한 고성능 배터리에 대한 관심이 늘어나고 있다. ...
    CategoryMath Colloquia Dept.LG화학 Lecturer안형준
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  18. Anomalous diffusions and fractional order differential equations

    Anomalous diffusion phenomenon has been observed in many natural systems, from the signalling of biological cells, to the foraging behaviour of animals, to the travel times of contaminants in groundwater. In this talk, I will first discuss t...
    CategoryMath Colloquia Dept.University of Washington LecturerZhen-Qing Chen
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  19. Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition

    CategoryMath Colloquia Dept.서울대학교 Lecturer최형인
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  20. <학부생을 위한 ɛ 강연> 4차 산업혁명, 글로벌 디지털 혁신과 일자리 전쟁, 대학의 역할

    CategoryMath Colloquia Dept.서울대 전기정보공학부, 빅데이터연구원 원장 Lecturer차상균
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