1. Equations defining algebraic curves and their tangent and secant varieties

    It is a fundamental problem in algebraic geometry to study equations defining algebraic curves. In 1984, Mark Green formulated a famous conjecture on equations defining canonical curves and their syzygies. In early 2000's, Claire Voisin...
    Category수학강연회 소속KAIST 강연자박진형
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  2. Essential dimension of simple algebras

    The notion of essential dimension was introduced by Buhler and Reichstein in the late 90s. Roughly speaking, the essential dimension of an algebraic object is the minimal number of algebraically independent parameters one needs to define the...
    Category수학강연회 소속KAIST 강연자백상훈
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  3. Existence of positive solutions for φ-Laplacian systems

    Category수학강연회 소속이용훈 강연자수학강연회,특별강연,대중강연
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  4. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

    초록 첨부: Void.pdf
    Category수학강연회 소속Univ. Bremen 강연자Keivan Mallahi-Karai
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  5. Fano manifolds of Calabi-Yau Type

    Fano manifolds of Calabi-Yau Type
    Category수학강연회 소속서울대학교 강연자Atanas Iliev
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  6. 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...
    Category수학강연회 소속서울대학교 강연자Raphaël Ponge
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  7. Fermat´s last theorem

    Fermat´s last theorem
    Category수학강연회 소속카이스트 강연자최서현
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  8. Fixed points of symplectic/Hamiltonian circle actions

    A circle action on a manifold can be thought of as a periodic flow on a manifold (periodic dynamical system), or roughly a rotation of a manifold. During this talk, we consider symplectic/Hamiltonian circle actions on compact symplectic mani...
    Category수학강연회 소속부산대 수학과 강연자장동훈
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  9. Free boundary problems arising from mathematical finance

    Many problems in financial mathematics are closely related to the stochastic optimization problem because the optimal decision must be made under the uncertainty. In particular, optimal stopping, singular control, and optimal switching prob...
    Category수학강연회 소속경희대학교 강연자전준기
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  10. Freudenthal medal, Klein medal 수상자의 수학교육이론

    2000년 국제수학교육위원회( International Commission on Mathematical Instruction)는 수학교육연구에 탁월한 업적을 이룬 학자에게 수여하는 Freudenthal 메달과 Klein메달을 제정하여, 2003년 부터 홀수 해에 수상하고 있다. 이 강연에서는 2012년 서울에...
    Category수학강연회 소속서울대 수학교육과 강연자권오남
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  11. From mirror symmetry to enumerative geometry

    There have been at least two surprising events to geometers in 80-90s that they had to admit physics really helps to solve classical problems in geometry. Donaldson proved the existence of exotic 4-dimensional Euclidean space using gauge th...
    Category수학강연회 소속서울대학교 강연자오정석
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  12. Gaussian free field and conformal field theory

    Ward's identities and the related concept of the stress-energy tensor are standard tools in conformal field theory. I will present a mathematical overview of these concepts and outline relations between conformal field theory and Schramm-Loe...
    Category수학강연회 소속서울대학교 강연자강남규
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  13. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

    Category수학강연회 소속육군사관학교 강연자문미남
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  14. Geometric Langlands theory: A bridge between number theory and physics

    ※ 강연 앞 부분이 잘렸습니다. (강연자료 다운: Geometric Langlands Theory [A Bridge between Number Theory and Physics] (2022.04.28).pdf ) 초록: The Langlands program consists of a tantalizing collection of surprising results and conjectures w...
    Category수학강연회 소속서울대학교 강연자유필상
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  15. 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...
    Category수학강연회 소속서울대학교 강연자이계선
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  16. Geometry, algebra and computation in moduli theory

    I will explain the basic concepts of moduli and how moduli spaces can be constructed in algebraic geometry. Exploring the moduli spaces and issues arising from their construction lead to interesting interplay of geometry, algebra and computa...
    Category수학강연회 소속서울대 강연자현동훈
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  17. 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...
    Category수학강연회 소속부산대학교 강연자이용훈
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  18. Green’s function for initial-boundary value problem

    In this talk, we will present an approach to construct the Green’s function for an initial boundary value problem with precise pointwise structure in the space-time domain. This approach is given in terms of transform variable and physical v...
    Category수학강연회 소속National Univ. of Singapore 강연자Shih-Hsien Yu
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  19. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

    Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields. We sur...
    Category수학강연회 소속IBS, 포항공과대학교 강연자오용근
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  20. Hamiltonian dynamics, Floer theory and symplectic topology

    In this lecture, I will convey subtle interplay between dynamics of Hamiltonian flows and La-grangian intersection theory via the analytic theory of Floer homology in symplectic geometry. I will explain how Floer homology theory (`closed str...
    Category수학강연회 소속University of Wisconsin 강연자오용근
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