1. Codimension Three Conjecture

    We proved the codimension three conjecture that says the micro-local perverse sheaves extend if it is defined outside odimension three (counting from Lagrangian subvarity). It is a joint work with Kari Vilonen.
    CategoryMath Colloquia Dept.교토대학교/서울대학교 LecturerMasaki Kashiwara
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  2. 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...
    CategoryMath Colloquia Dept.Kyoto University/서울대학교 LecturerMasaki Kashiwara
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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...
    CategoryMath Colloquia Dept.서울대학교/RIMS LecturerMasaki Kashiwara
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  4. Convex and non-convex optimization methods in image processing

    In this talk, we discuss some results of convex and non-convex optimization methods in image processing. Examples including image colorization, blind decovolution and impulse noise removal are presented to demonstrate these methods. Their a...
    CategoryMath Colloquia Dept.Hong Kong Baptist University LecturerMichael Ng
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  5. A new view of Fokker-Planck equations in finite and Infinite dimensional spaces

    Fokker-Planck and Kolmogorov (backward) equations can be interpreted as linearisations of the underlying stochastic differential equations (SDE). It turns out that, in particular, on infinite dimensional spaces (i.e. for example if the SDE i...
    CategoryMath Colloquia Dept.Bielefeld Univ./Purdue Univ. LecturerMichael Roeckner
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  6. Unprojection

    Unprojection or "constructing bigger Gorenstein ideals from smaller one" is an algebraic device for constructing Gorenstein varieties in codimension 4, 5, ..., beyond the range of standard structure theorems; it has a large number of fairly ...
    CategoryMath Colloquia Dept.University of Warwick / 서강대 LecturerMiles Reid
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  7. Class field theory for 3-dimensional foliated dynamical systems

    I will talk about arithmetic topology, in particular, some issues related to class field theory for 3-dimensional foliated dynamical systems.
    CategoryMath Colloquia Dept.Kyushu University LecturerMorishita Masanori
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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. 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...
    CategoryMath Colloquia Dept.Saitama University LecturerNeal Bez
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  10. Unique ergodicity for foliations

    CategoryMath Colloquia Dept.Université Paris-Sud LecturerNessim Sibony
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  11. Idempotents and topologies

    A classical theorem of Jacobs, de Leeuw and Glicksberg shows that a representation of a group on a reflexive Banach space may be decomposed into a returning subspace and a weakly mixing subspace. This may be realized as arising from the idem...
    CategoryMath Colloquia Dept.University of Waterloo LecturerNico Spronk
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  12. Contact Homology and Constructions of Contact Manifolds

    CategoryMath Colloquia Dept.서울대 LecturerOtto van Koert
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  13. <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem

    We describe some of the history of the three-body problem and how it lead to symplectic geometry. We start by sketching Poincare’s prize-winning work, and discuss how it lead to the birth of the fields of dynamical systems and symplec...
    CategoryMath Colloquia Dept.서울대학교 LecturerOtto van Koert
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  14. Q-curvature in conformal geometry

    In this talk, I will talk about the definition Q-curvature and some of its properties. Then I will talk about the problem of prescribing Q-curvature, especially I will explain the ideas of studying the problem using flow approach.
    CategoryMath Colloquia Dept.서강대 LecturerPak Tung Ho
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  15. Symmetry Breaking in Quasi-1D Coulomb Systems

    Symmetry Breaking in Quasi-1D Coulomb Systems
    CategoryMath Colloquia Dept.서강대학교 LecturerPaul Jung
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  16. It all started with Moser

    We survey work on a class of nonlinear elliptic PDEs that was initiated by Moser. Methods from PDE, dynamical systems, and geometry set in the framework of the calculus of variations are used to construct a rich collection of solutions.
    CategoryMath Colloquia Dept.Univ. of Wisconsin/포항공대 LecturerPaul Rabinowitz
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  17. Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry

    A general goal of noncommutative geometry (in the sense of A. Connes) is to translate the main tools of differential geometry into the Hilbert space formalism of quantum mechanics by taking advantage of the familiar duality between spaces an...
    CategoryMath Colloquia Dept.서울대학교 LecturerRaphael Ponge
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  18. 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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  19. 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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  20. Green’s function for initial-boundary value problem

    In this talk, we will present an approach to construct the Green’s function for an initial boundary value problem with precise pointwise structure in the space-time domain. This approach is given in terms of transform variable and physical v...
    CategoryMath Colloquia Dept.National Univ. of Singapore LecturerShih-Hsien Yu
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