1. Noncommutative Surfaces

    Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, one...
    CategoryMath Colloquia Dept.서강대학교 LecturerJens Hoppe
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  2. The Shape of Data

    Creating information and knowledge from large and complex data sets is one the fundamental intellectual challenges currently being faced by the mathematical sciences. One approach to this problem comes from the mathematical subdiscipline cal...
    CategoryMath Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
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  3. Topological aspects in the theory of aperiodic solids and tiling spaces

    After a review of various types of tilings and aperiodic materials, the notion of tiling space (or Hull) will be defined. The action of the translation group makes it a dynamical system. Various local properties, such as the notion of "Finit...
    CategoryMath Colloquia Dept.Georgia Institute of Technology, School of Mathematics and School of Physics LecturerJean V. Bellissard
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  4. Subgroups of Mapping Class Groups

    The mapping class group of a surface S is the component group of orientation-preserving homeomorphisms on S. We survey geometric and algebraic aspects of this group, and introduce a technique of using right-angled Artin groups to find geomet...
    CategoryMath Colloquia Dept.서울대학교 Lecturer김상현
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  5. Analytic torsion and mirror symmetry

    In the early 90's, physicists Bershadsky-Cecotti-Ooguri-Vafa conjectured that the analytic torsion was the counterpart in complex geometry of the counting problem of elliptic curves in Calabi-Yau threefolds. It seems that this conjecture is ...
    CategoryMath Colloquia Dept.Kyoto University LecturerKen-ichi Yoshikawa
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  6. Fefferman's program and Green functions in conformal geometry

    Motivated by the analysis of the singularity of the Bergman kernel of a strictly pseudoconvex domain, Charlie Fefferman launched in the late 70s the program of determining all local biholomorphic invariants of strictly pseudoconvex domain. T...
    CategoryMath Colloquia Dept.서울대학교 LecturerRaphaël Ponge
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  7. 정년퇴임 기념강연: Volume Conjecture

    Volume conjecture를 설명하고 현재까지의 연구결과 그리고 앞으로의 연구계획을 소개한다.
    CategoryMath Colloquia Dept.서울대학교 Lecturer김혁
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  8. Connes's Embedding Conjecture and its equivalent

    I will talk on Cannes's Embedding Conjecture, which is considered as one of the most important open problems in the field of operator algebras. It asserts that every finite von Neumann algebra is approximable by matrix algebras in suitable s...
    CategoryMath Colloquia Dept.RIMS LecturerNarutaka Ozawa
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  9. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

    Studies on PDEs are mostly focused on ?nding properties of PDEs within a speci?c discipline and on developing a technique specialized to them. However, ?nding a common structure over di?erent disciplines and unifying theories from di?erent s...
    CategoryMath Colloquia Dept.KAIST Lecturer김용정
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  10. Combinatorial Laplacians on Acyclic Complexes

    The main topic of the talk is a determinantal formula for high dimensional tree numbers of acyclic complexes via combinatorial Laplace operators . This result is a generalization of Temperley's tree number formula for graphs, motivated by a ...
    CategoryMath Colloquia Dept.서울대학교 Lecturer국웅
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  11. 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

    The notion of entanglement is now considered as a basic resource for the current quantum information and quantum computation theory. We discuss what kinds of mathematics are related to the theory. They include operator algebras, matrix theor...
    CategoryMath Colloquia Dept.서울대학교 Lecturer계승혁
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  12. L-function: complex vs. p-adic

    Several L-functions with the names Dirichlet, Dedekind, Elliptic, and so on usually have p-adic counterparts, so called p-adic L-functions, which share many similar properties such as an evaluation formula at s=1, class number formula, and e...
    CategoryMath Colloquia Dept.충북대학교 Lecturer선해상
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  13. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

    아이작 뉴턴의 계산과학에 관한 업적을 소개한다.
    CategoryMath Colloquia Dept.서울대학교 Lecturer신동우
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  14. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

    Stochastic Model, Integrals 그리고 PDE의 기본 개념과 최신 연구 동향을 소개한다.
    CategoryMath Colloquia Dept.고려대학교 Lecturer김경훈
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  15. 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...
    CategoryMath Colloquia Dept.POSTECH Lecturer배명진
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  16. 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...
    CategoryMath Colloquia Dept.서울대 수학교육과 Lecturer권오남
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  17. 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...
    CategoryMath Colloquia Dept.POSTECH Lecturer권재룡
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  18. 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...
    CategoryMath Colloquia Dept.건국대/서울대 Lecturer최인송
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  19. 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...
    CategoryMath Colloquia Dept.서울대학교 Lecturer이훈희
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  20. 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...
    CategoryMath Colloquia Dept.서울대학교 Lecturer임선희
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