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Lecturer 이승재(기초과학연구원), 조창연(QSMS)
date Mar 09, 2021

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  1. Seifert fiberings

    There are three Bieberbach theorems on flat Riemannian manifolds; characterization, rigidity and finiteness. These extend to almost flat manifolds. We discuss characterization, rigidity and finiteness of infra-nilmanifolds (almost flat manif...
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  2. Geometric structures and representation spaces

    초록: Let X be a homogeneous space for a Lie group G. A (G,X)-structure on a manifold M is an atlas of coordinate charts valued in X, such that the changes of coordinates locally lie in G. It is a fundamental question to ask how many ways o...
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  3. Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

    In this talk, we will consider the hyperbolic Kac-Moody algebra associated to a certain rank 3 Cartan matrix and generalized Kac-Moody algebras that contain the hyperbolic Kac-Moody algebra. The denominator funtions of the generalized Kac-Mo...
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  4. 2022-1 Rookies Pitch: Cryptography (이기우)

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  5. 학부학생을 위한 강연회: 기하학과 우주론

    우리의 직관에 의하면 우주는 4차원으로 이루어져있다. 달리 말하면 우리가 어떤 사건을 기술 할 때 네 개의 숫자(공간3 + 시간1) 이면 충분하다는 것 이다. 세상에 다른 여분의 차원이 더 있다고 가정 여러 물리 법칙을 통일적으로 기술할 수 있음이 알려졌다...
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  6. 2021-1 Rookies Pitch: Optimization Theory (이다빈)

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  7. 2021-2 Rookies Pitch: Low Demensional Topology (이동수)

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  8. Trends to equilibrium in collisional rarefied gas theory

    Dynamics of many particle system can be described by PDE of probability density function. The Boltzmann equation in kinetic theory is one of the most famous equation which describes rarefied gas dynamics. One of main property of the Boltzman...
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  9. Mirror symmetry of pairings

    ※ 강연 앞 부분이 잘렸습니다. (강연자료 다운: Mirror symmetry of pairings.pdf ) 초록: Mirror symmetry has served as a rich source of striking coincidences of various kinds. In this talk we will first review two kinds of mirror symmetry statem...
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  10. 2023-1 Symplectic Topology (이상진)

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  11. <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

    Convergence of Fourier series and integrals is the most fundamental question in classical harmonic analysis from its beginning. In one dimension convergence in Lebesgue spaces is fairly well understood. However in higher dimensions the probl...
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  12. Maximal averages in harmonic analysis

    This talk concerns maximal functions given by averages over some family of geometric objects. I will discuss the boundedness of those maximal functions on the Lebesgue spaces and its role in problems of harmonic analysis.
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  13. 2022-1 Rookies Pitch: Number Theory (이석형)

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  14. 2023-1 Dynamics and Number Theory (이슬비)

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  15. 2021-1 Rookies Pitch: Algebraic Combinatorics(이승재), Algebraic Geometry(조창연)

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  16. 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...
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  17. Creation of concepts for prediction models and quantitative trading

    Modern mathematics with axiomatic systems has been developed to create a complete reasoning system. This was one of the most exciting mathematical experiments. However, even after the failure of the experiment, mathematical research is still...
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  18. 2022-2 Rookies Pitch: Representation Theory(이신명)

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  19. On function field and smooth specialization of a hypersurface in the projective space

    In this talk, we will discuss two interesting problems on hypersurfaces in the projective space. The first one is the absolute Galois theory on the function field of a very general hypersurface in the projective space. The other one is the c...
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  20. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

    Global result for multiple positive radial solutions of p-Laplacian system on exterior domain In this talk, we consider p-Laplacian systems with singular indefinite weights. Exploiting Amann type three solutions theorem for the singular syst...
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