1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. Sheaf quantization of Hamiltonian isotopies and non-displacability problems

    Sheaf quantization of Hamiltonian isotopies and non-displacability problems
    CategoryMath Colloquia Dept.Kyoto Univ./서울대학교 LecturerMasaki Kashiwara
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  7. 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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  8. 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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  9. 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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  10. The classification of fusion categories and operator algebras

    CategoryMath Colloquia Dept.Kyoto University LecturerMasaki Izumi
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  11. Conservation laws and differential geometry

    A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensional Riemannian manifold M2 which can be realized as isometric immersions into R3. This problem can be formulated as initial and/or boundary ...
    CategoryMath Colloquia Dept.Univ. of Wisconsin LecturerMarshall Slemrod
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  12. Quasi-homomorphisms into non-commutative groups

    A function from a group G to integers Z is called a quasi-morphism if there is a constant C such that for all g and h in G, |f(gh)-f(g)-f(h)| < C. Surprisingly, this idea has been useful. I will overview the theory of quasi-morphisms includi...
    CategoryMath Colloquia Dept.Kyoto Univ. LecturerKoji Fujiwara
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  13. Number theoretic results in a family

    Unconditional results without an unproved hypothesis such as the generalized Riemann hypothesis (GRH) are very weak for an individual number field. But if we consider a family of number fields, one can prove just as strong results as we woul...
    CategoryMath Colloquia Dept.Univ. of Toronto / KIAS LecturerKim, Henry
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  14. A-infinity functor and topological field theory

    Lagrangian Floer theory in symplectic manifold associate a category (A infinity category) to a symplectic manifold. More than 20 years ago a relation of a relation between Lagrangian Floer theory and Gauge theory was studied by Floer himself...
    CategoryMath Colloquia Dept.Simons Center for Geometry and Physics LecturerKenji Fukaya
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  15. Deformation spaces of Kleinian groups and beyond

    From 1980’s, the study of Kleinian groups has been carried out in the framework of the paradigm of “Thurston’s problems”. Now they are all solved, and we can tackle deeper problems; for instance to determine the topological types of the defo...
    CategoryMath Colloquia Dept.Osaka University LecturerKenichi Ohshika
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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. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

    초록 첨부: Void.pdf
    CategoryMath Colloquia Dept.Univ. Bremen LecturerKeivan Mallahi-Karai
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  18. Conformal field theory and noncommutative geometry

    Conformal field theory and noncommutative geometry
    CategoryMath Colloquia Dept.동경대학교 LecturerKawahigashi
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  19. 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin)

    CategoryBK21 FOUR Rookies Pitch Dept.BK21 LecturerKalachand Shuin
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  20. 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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