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. Volume entropy of hyperbolic buildings

    Volume entropy of a compact manifold is the exponential growth rate of balls in the universal cover. This seemingly coarse invariant contains a lot of geometric information of the manifold. We will discuss some relations to other invariants,...
    CategoryMath Colloquia Dept.서울대 Lecturer임선희
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  3. Contact Homology and Constructions of Contact Manifolds

    CategoryMath Colloquia Dept.서울대 LecturerOtto van Koert
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  4. 정년퇴임 기념강연: 회고

    CategoryMath Colloquia Dept.서울대 Lecturer김도한
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  5. An introduction to hyperplane arrangements

    A hyperplane arrangement is an arrangement of a finite set of hyperplanes in some vector space. Hyperplane arrangements generalize other famous combinatorial objects such as graphs and matroids. In this talk, we introduce a characteristic po...
    CategoryMath Colloquia Dept.서울대 Lecturer이승진
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  6. 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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  7. 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...
    CategoryMath Colloquia Dept.서울대 Lecturer현동훈
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  8. Weyl character formula and Kac-Wakimoto conjecture

    The character of the finite-dimensional irreducible modules over a finite-dimensional simple Lie algebra is given by the celebrated Weyl character formula. However, such a formula does not hold in general for finite-dimensional irreducible m...
    CategoryMath Colloquia Dept.서울대 Lecturer권재훈
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  9. <학부생을 위한 ε 강연> 압축센싱과 행렬완성

    인터넷 혁명을 거치면서 인간이 생산 및 소비하는 정보의 양이 비약적으로 증가하고 있다. 다루는 정보와 신호의 차원이 커짐에 따라 정보를 획득, 압축, 저장 그리고 복원하는 일련의 과정에 대한 새로운 패러다임이 요구되어 왔으며, 특히 큰 차원의 신호에...
    CategoryMath Colloquia Dept.서울대 Lecturer심병효
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  10. Theory and applications of partial differential equations

    I will talk in general about theory and applications of partial differential equations. A recent progress in the regularity theory for nonlinear problems will be also discussed, including uniform estimates of solutions in various function sp...
    CategoryMath Colloquia Dept.서울대 Lecturer변순식
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  11. <학부생을 위한 ε 강연> 동형암호와 근사정수론

    완전동형암호는 암호화된 상태에서 모든 계산을 지원하는 이상적인 암호로서 암호학계의 성배(holy grail)로 불리며 1978년 이후 오랫동안 미해결 문제로 알려져 있었다. 2009년 Gentry에 의해 처음 만들어진 후 많은 연구를 거쳐 실용화를 앞두고 있으며 2011...
    CategoryMath Colloquia Dept.서울대 Lecturer천정희
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  12. Periodic orbits in symplectic geometry

    Symplectic geometry has one of its origins in Hamiltonian dynamics. In the late 60s Arnold made a fundamental conjecture about the minimal number of periodic orbits of Hamiltonian vector fields. This is a far-reaching generalization of Poinc...
    CategoryMath Colloquia Dept.서울대 Lecturer강정수
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  13. Mixing time of random processes

    The general theory implies that the distribution of an irreducible Markov chain converges to its stationary distribution as time diverges to infinity. The speed of corresponding convergence is a significant issue in the study of mathematical...
    CategoryMath Colloquia Dept.서울대 Lecturer서인석
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  14. 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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  15. <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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  16. 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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  17. 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...
    CategoryMath Colloquia Dept.서울과학기술대학교 Lecturer김병찬
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  18. Integer partitions, q-series, and Modular forms

    In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on (1) combinatorial proof for q-series identities (2) ari...
    CategoryMath Colloquia Dept.서울과학기술 대학 Lecturer김병찬
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  19. Averaging formula for Nielsen numbers

    We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | ...
    CategoryMath Colloquia Dept.서강대학교 Lecturer이종범
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  20. Symmetry Breaking in Quasi-1D Coulomb Systems

    Symmetry Breaking in Quasi-1D Coulomb Systems
    CategoryMath Colloquia Dept.서강대학교 LecturerPaul Jung
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