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  1. Mixed type PDEs and compressible flow

    If density of flow is globally a constant, then the flow is said incompressible. Otherwise, the flow is said compressible. Flow motion of compressible inviscid flow is governed by Euler system. The Euler system is a nonlinear PDE system desc...
    Category수학강연회 소속POSTECH 강연자배명진
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  2. Freudenthal medal, Klein medal 수상자의 수학교육이론

    2000년 국제수학교육위원회( International Commission on Mathematical Instruction)는 수학교육연구에 탁월한 업적을 이룬 학자에게 수여하는 Freudenthal 메달과 Klein메달을 제정하여, 2003년 부터 홀수 해에 수상하고 있다. 이 강연에서는 2012년 서울에...
    Category수학강연회 소속서울대 수학교육과 강연자권오남
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  3. Compressible viscous Navier-Stokes flows: Corner singularity, regularity

    In this talk I will talk about existence and regularity for solutions to the compressible viscous Navier-Stokes equations on nonsmooth domains, especially with corners. The solution is constructed by the decomposition of the corner singulari...
    Category수학강연회 소속POSTECH 강연자권재룡
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  4. 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic

    Trisection of an angle and duplication of a cube are among the famous problems of Greeks. Although they were proven later to be impossible in general, Greeks already knew that one can trisect an angle and duplicate a cube by supplimenting se...
    Category수학강연회 소속건국대/서울대 강연자최인송
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  5. Non-commutative Lp-spaces and analysis on quantum spaces

    In this talk we will take a look at analysis on quantum spaces using non-commutative Lp spaces. We will first review what a non-commutative Lpspace is, and then we will see few examples of quantum spaces where Lp analysis problems arise natu...
    Category수학강연회 소속서울대학교 강연자이훈희
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  6. Randomness of prime numbers

    Ergodic theory of horocycle flow and nilflow has been proved to be useful for analyzing the randomness of Mobius function, a function which reveals the mystery of prime numbers. In this survey talk, we will introduce Mobius function and seve...
    Category수학강연회 소속서울대학교 강연자임선희
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  7. Space.Time.Noise

    It has been more than thirty years since white noise analysis was launched systematically. It is now a good time to have an overview of the theory and to reflect on its advantages in order to anticipate further developments of this theory. O...
    Category수학강연회 소속Meijo University 강연자Takeyuki Hida
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  8. 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks

    Diffusion of information, rumors or epidemics via various social networks has been extensively studied for decades. In particular, Kempe, Kleinberg, and Tardos (KDD '03) proposed the general threshold model, a generalization of many mathemat...
    Category수학강연회 소속KAIST 강연자정교민
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  9. Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT)

    Magnetic Resonance Electrical Impedance Tomography (MREIT) is a late medical imaging modality visualizing static conductivity images of electrically conducting subjects. When we inject current into the object, it produces internal distributi...
    Category수학강연회 소속KAIST 강연자이창옥
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  10. On Ingram’s Conjecture

    In this talk I will present some results in the area of topological, low-dimensional, discrete dynamical systems.
    Category수학강연회 소속University of Zagrab 강연자Sonja Stimac
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  11. Variational Methods without Nondegeneracy

    If a problem has an approximate solution, we try to get some information of the linearized kernel of the problem at the approximate solution to find a real solution. In this talk, I would like to introduce a different approach which is purel...
    Category수학강연회 소속POSTECH 강연자변재형
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  12. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

    In this talk, I will explain a relationship of the Chern-Simons invariant and the eta invariant for Schottky hyperbolic manifolds. The relating formula involves a defect term given by the Bergman tau function over the conformal boundary Riem...
    Category수학강연회 소속KIAS 강연자박진성
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  13. Brownian motion with darning and conformal mappings

    Brownian motion with darning (BMD) is a diffusion process obtained from Brownian motion by shorting each hole in the space into one point. In this talk, I will present a quick introduction to BMD and its basic properties including the zero p...
    Category수학강연회 소속University of Washington 강연자Zhen-Qing Chen
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  14. Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

    Representation theory is to study the actions of groups or algebras on vector spaces. Recently, its categorical version, categorical representation theory, attracts researchers in representation theory. In this theory we replace "vector spac...
    Category수학강연회 소속Kyoto University/서울대학교 강연자Masaki Kashiwara
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  15. 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data

    오랜 세월동안 기득권을 누려오던 통신 업계는 이제 성장의 한계에 직면해 있다. 통신의 고유 영역이던 음성통화와 데이터 통신은 스마트폰의 활성화, 사업구조의 변화 등으로 인해 여타 산업군들에게 그 자리를 내어주며 더이상 캐시카우의 역할을 하지 못하...
    Category수학강연회 소속KT 전무 강연자양현미
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  16. Cloaking via Change of Variables

    We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the bounda...
    Category수학강연회 소속KAIST 강연자임미경
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  17. 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...
    Category수학강연회 소속이화여대 수학과 강연자민조홍
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  18. 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...
    Category수학강연회 소속인하대학교 강연자강현배
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  19. Conformal field theory and noncommutative geometry

    Conformal field theory and noncommutative geometry
    Category수학강연회 소속동경대학교 강연자Kawahigashi
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  20. 극소곡면의 등주부등식

    둘레가 같은 평면의 영역중에서 넓이가 최대인 것은 원이라는 것이 등주부등식이다. 이와 똑 같은 등주부등식이 극소곡면에 대해서도 성립할 것이라는 예상이 90년 전에 제기되었다. 이 예상의 역사와 현주소에 대해서 알아보기로 하자.
    Category수학강연회 소속KIAS 강연자최재경
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