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  1. 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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  2. 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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  3. Existence of positive solutions for φ-Laplacian systems

    SNU-LeeAbstract.pdf
    CategoryMath Colloquia Dept.이용훈 Lecturer수학강연회,특별강연,대중강연
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  4. 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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  5. 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...
    CategoryMath Colloquia Dept.KAIST Lecturer권순식
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  6. 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...
    CategoryMath Colloquia Dept.서울대학교 Lecturer강남규
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  7. 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...
    CategoryMath Colloquia Dept.서울대학교 Lecturer김영훈
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  8. 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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  9. 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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  10. Topological Mapping of Point Cloud Data

    One of the important problems in understanding large and complex data sets is how to provide useful representations of a data set. We will discuss some existing methods, as well as topological mapping methods which use simplicial complexes ...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
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  11. Structures on Persistence Barcodes and Generalized Persistence

    Persistent homology produces invariants which take the form of barcodes, or nite collections of intervals. There are various structures one can imposed on them to yield a useful organization of the space of all barcodes. In addition, there...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
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  12. Persistent Homology

    Homology is a method for assigning signatures to geometric objects which reects the presence of various kinds of features, such as connected components, loops, spheres, surfaces, etc. within the object. Persistent homology is a methodology...
    CategorySpecial Colloquia Dept.Stanford University LecturerGunnar E. Carlsson
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  13. 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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  14. 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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  15. Irreducible Plane Curve Singularities

    It is very interesting to study what problems can be computed in irreducible plane curve singularities in algebraicgeometry? Then, the aim of this talk is to compute the explicit algorithm for finding the correspondence between the family of...
    CategorySpecial Colloquia Dept.서울대학교 Lecturer강정혁
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  16. 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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  17. 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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  18. 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds

    Despite of the fact that 4-dimensional manifolds together with 3-dimensional manifolds are the most fundamental and important objects in geometry and topology and topologists had great achievements in 1960's, there has been little known on 4...
    CategorySpecial Colloquia Dept.서울대학교 Lecturer박종일
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  19. 정년퇴임 기념강연: Volume Conjecture

    Volume conjecture를 설명하고 현재까지의 연구결과 그리고 앞으로의 연구계획을 소개한다.
    CategoryMath Colloquia Dept.서울대학교 Lecturer김혁
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  20. Queer Lie Superalgebras

    The Lie superalgebra q(n) is the second super-analogue of the general Lie algebra gl(n). Due to its complicated structure, q(n) is usually called “the queer superalgebra”. In this talk we will discuss certain old and new results related to t...
    CategorySpecial Colloquia Dept.Univ. of Texas, Arlington LecturerDimitar Grantcharov
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