1. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

    In this talk, I will explain a relationship of the Chern-Simons invariant and the eta invariant for Schottky hyperbolic manifolds. The relating formula involves a defect term given by the Bergman tau function over the conformal boundary Riem...
    Category수학강연회 소속KIAS 강연자박진성
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  2. Circular maximal functions on the Heisenberg group

    The spherical average has been a source of many problems in harmonic analysis. Since late 90's, the study of the maximal spherical means on the Heisenberg group $mathbb{H}^n$ has been started to show the pointwise ergodic theorems on the gro...
    Category수학강연회 소속연세대 수학과 강연자김준일
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  3. Classical and Quantum Probability Theory

    We start with the famous Heisenberg uncertainty principle to give the idea of the probability in quantum mechanics. The Heisenberg uncertainty principle states by precise inequalities that the product of uncertainties of two physical quantit...
    Category수학강연회 소속충북대학교 강연자지운식
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  4. Classification of simple amenable operator algebras

    The field of operator algebras deals with suitable closed subalgebras of the algebra of bounded linear operators on a Hilbert space. There are two types of operator algebras: C*-algebras and von Neumann algebras. In the 1970s A. Connes obtai...
    소속Lakehead University 강연자Grazia Viola
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  5. Cloaking via Change of Variables

    We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the bounda...
    Category수학강연회 소속KAIST 강연자임미경
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  6. 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.
    Category수학강연회 소속교토대학교/서울대학교 강연자Masaki Kashiwara
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  7. 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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  8. Combinatorics and Hodge theory

    I will tell two interrelated stories illustrating fruitful interactions between combinatorics and Hodge theory. The first is that of Lorentzian polynomials, based on my joint work with Petter Brändén. They link continuous convex...
    Category특별강연 소속미국 프린스턴대 교수, 한국 고등과학원 석학교수 강연자허준이
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  9. 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...
    Category수학강연회 소속POSTECH 강연자권재룡
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  10. Conformal field theory and noncommutative geometry

    Conformal field theory and noncommutative geometry
    Category수학강연회 소속동경대학교 강연자Kawahigashi
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  11. Conformal field theory in mathematics

    Since Belavin, Polyakov, and Zamolodchikov introduced conformal field theory as an operator algebra formalism which relates some conformally invariant critical clusters in two-dimensional lattice models to the representation theory of Viraso...
    Category수학강연회 소속고등과학원 강연자강남규
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  12. Congruences between modular forms

    We introduce the notion of congruences (modulo a prime number) between modular forms of different levels. One of the main questions is to show the existence of a certain newform of an expected level which is congruent to a given modular form...
    Category수학강연회 소속서울대 강연자유화종
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  13. 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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  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. 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 ...
    Category수학강연회 소속Univ. of Wisconsin 강연자Marshall Slemrod
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  16. Contact Homology and Constructions of Contact Manifolds

    Category수학강연회 소속서울대 강연자Otto van Koert
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  17. Contact instantons and entanglement of Legendrian links

    We introduce a conformally invariant nonlinear sigma model on the bulk of contact manifolds with boundary condition on the Legendrian links in any odd dimension. We call any finite energy solution a contact instanton. We also explain its Ha...
    Category수학강연회 소속IBS-CGP /POSTECH 강연자오용근
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  18. Contact topology and the three-body problem

    In this talk, we discuss recent work with Albers, Cieliebak, Fish, Frauenfelder, Hofer and Paternain on several aspects of the three body problem. The ultimate goal of this project is to use modern, holomorphic curve techniques to investigat...
    Category특별강연 소속서울대학교 강연자Otto van Koert
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  19. Contact topology of singularities and symplectic fillings

    For an isolated singularity, the intersection with a small sphere forms a smooth manifold, called the link of a singularity. It admits a canonical contact structure, and this turns out to be a fine invariant of singularities and provides an...
    Category수학강연회 소속순천대학교 강연자권명기
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  20. 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...
    Category수학강연회 소속Hong Kong Baptist University 강연자Michael Ng
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