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  1. Recent progress on the Brascamp-Lieb inequality and applications

    In his survey paper in the Bulletin of the AMS from 2002, R. J. Gardner discussed the Brunn-Minkowski inequality, stating that it deserves to be better known and painted a beautiful picture of its relationship with other inequalities in anal...
    Category수학강연회 소속Saitama University 강연자Neal Bez
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  2. Existence of positive solutions for φ-Laplacian systems

    SNU-LeeAbstract.pdf
    Category수학강연회 소속이용훈 강연자수학강연회,특별강연,대중강연
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  3. Riemann-Hilbert correspondence for irregular holonomic D-modules

    The original Riemann-Hilbert problem is to construct a liner ordinary differential equation with regular singularities whose solutions have a given monodromy. Nowadays, it is formulated as a categorical equivalence of the category of regular...
    Category수학강연회 소속서울대학교/RIMS 강연자Masaki Kashiwara
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  4. Normal form reduction for unconditional well-posedness of canonical dispersive equations

    Normal form method is a classical ODE technique begun by H. Poincare. Via a suitable transformation one reduce a differential equation to a simpler form, where most of nonresonant terms are cancelled. In this talk, I begin to explain the not...
    Category수학강연회 소속KAIST 강연자권순식
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  5. Random conformal geometry of Coulomb gas formalism

    Several cluster interfaces in 2D critical lattice models have been proven to have conformally invariant scaling limits, which are described by SLE(Schramm-Loewner evolution) process, a family of random fractal curves. As the remarkable achie...
    Category수학강연회 소속서울대학교 강연자강남규
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  6. Categorification of Donaldson-Thomas invariants

    In 1980s, Donaldson discovered his famous invariant of 4-manifolds which was subsequently proved to be an integral on the moduli space of semistable sheaves when the 4-manifold is an algebraic surface. In 1994, the Seiberg-Witten invariant w...
    Category수학강연회 소속서울대학교 강연자김영훈
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  7. 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...
    Category수학강연회 소속서강대학교 강연자Jens Hoppe
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  8. 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...
    Category수학강연회 소속Stanford University 강연자Gunnar E. Carlsson
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  9. 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...
    Category수학강연회 소속Georgia Institute of Technology, School of Mathematics and School of Physics 강연자Jean V. Bellissard
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  10. 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...
    Category수학강연회 소속서울대학교 강연자김상현
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  11. 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 ...
    Category수학강연회 소속Kyoto University 강연자Ken-ichi Yoshikawa
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  12. 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...
    Category수학강연회 소속서울대학교 강연자Raphaël Ponge
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  13. 정년퇴임 기념강연: Volume Conjecture

    Volume conjecture를 설명하고 현재까지의 연구결과 그리고 앞으로의 연구계획을 소개한다.
    Category수학강연회 소속서울대학교 강연자김혁
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  14. 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...
    Category수학강연회 소속RIMS 강연자Narutaka Ozawa
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  15. 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...
    Category수학강연회 소속KAIST 강연자김용정
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  16. 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 ...
    Category수학강연회 소속서울대학교 강연자국웅
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  17. 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...
    Category수학강연회 소속서울대학교 강연자계승혁
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  18. 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...
    Category수학강연회 소속충북대학교 강연자선해상
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  19. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

    아이작 뉴턴의 계산과학에 관한 업적을 소개한다.
    Category수학강연회 소속서울대학교 강연자신동우
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  20. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

    Stochastic Model, Integrals 그리고 PDE의 기본 개념과 최신 연구 동향을 소개한다.
    Category수학강연회 소속고려대학교 강연자김경훈
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