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  1. An introduction to hyperplane arrangements

    A hyperplane arrangement is an arrangement of a finite set of hyperplanes in some vector space. Hyperplane arrangements generalize other famous combinatorial objects such as graphs and matroids. In this talk, we introduce a characteristic po...
    CategoryMath Colloquia Dept.서울대 Lecturer이승진
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  2. Analysis and computations of stochastic optimal control problems for stochastic PDEs

    Many mathematical and computational analyses have been performed for deterministic partial differential equations (PDEs) that have perfectly known input data. However, in reality, many physical and engineering problems involve some level of ...
    CategoryMath Colloquia Dept.아주대 Lecturer이형천
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  3. 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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  4. Anomalous diffusions and fractional order differential equations

    Anomalous diffusion phenomenon has been observed in many natural systems, from the signalling of biological cells, to the foraging behaviour of animals, to the travel times of contaminants in groundwater. In this talk, I will first discuss t...
    CategoryMath Colloquia Dept.University of Washington LecturerZhen-Qing Chen
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  5. Arithmetic of elliptic curves

    Elliptic curves defined over the rationals satisfy two finiteness properties; its group of rational points is a finitely generated abelian group and it has only finitely many points with integral coordinates. Bhargava and his collaborators e...
    CategoryMath Colloquia Dept.서울대 Lecturer김도형
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  6. Averaging formula for Nielsen numbers

    We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | ...
    CategoryMath Colloquia Dept.서강대학교 Lecturer이종범
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  7. Birational Geometry of varieties with effective anti-canonical divisors

    Fano varieties are fundamental objects in algebraic geometry. These can be considered as the unique output of the -K -minimal model program on the varieties with effective anticanonical divisors. Thus the initial models should encode the in...
    CategoryMath Colloquia Dept.연세대학교 Lecturer최성락
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  8. Brownian motion and energy minimizing measure in negative curvature

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    CategoryMath Colloquia Dept.서울대학교 Lecturer임선희
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  9. Brownian motion with darning and conformal mappings

    Brownian motion with darning (BMD) is a diffusion process obtained from Brownian motion by shorting each hole in the space into one point. In this talk, I will present a quick introduction to BMD and its basic properties including the zero p...
    CategoryMath Colloquia Dept.University of Washington LecturerZhen-Qing Chen
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  10. 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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  11. 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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  12. 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...
    CategoryMath Colloquia Dept.KIAS Lecturer박진성
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  13. 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...
    CategoryMath Colloquia Dept.연세대 수학과 Lecturer김준일
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  14. 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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  15. 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...
    CategoryMath Colloquia Dept.충북대학교 Lecturer지운식
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  16. 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...
    CategoryMath Colloquia Dept.KAIST Lecturer임미경
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  17. 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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  18. 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 ...
    CategoryMath Colloquia Dept.서울대학교 Lecturer국웅
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  19. 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...
    CategoryMath Colloquia Dept.POSTECH Lecturer권재룡
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  20. Conformal field theory and noncommutative geometry

    Conformal field theory and noncommutative geometry
    CategoryMath Colloquia Dept.동경대학교 LecturerKawahigashi
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