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  1. Regularity for non-uniformly elliptic problems

    In this talk, we investigate some regularity results for non-uniformly elliptic problems. We first present uniformly elliptic problems and the definition of non-uniform ellipticity. We then introduce a double phase problem which is characte...
    Category수학강연회 소속경북대학교 강연자오제한
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  2. 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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  3. Universality of log-correlated fields

    A feature of log-correlation naturally appears in diverse objects such as random matrices, random discrete geometries and Riemann zeta function. In this talk, I will give an overview on the theory of log-correlated fields and talk about rec...
    Category수학강연회 소속KAIST 강연자남경식
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  4. <학부생을 위한 ɛ 강연> 양자상태의 기하학

    고전컴퓨터는 모든 정보를 이진수로 표현하여 계산을 0과 1의 전기신호로 구현하는데 반해서 양자컴퓨터는 정보를 벡터(양자상태)로 표현하여 유니터리 변환을 통해 계산을 수행한다. 양자컴퓨터가 관심을 끄는 이유는 얽힌 양자상태 덕분에 빠른 계산이 가능...
    Category수학강연회 소속고등과학원 강연자김영훈
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  5. 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.
    Category수학강연회 소속Kyushu University 강연자Morishita Masanori
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  6. Satellite operators on knot concordance

    Concordance is a relation which classifies knots in 3-space via surfaces in 4-space, and it is closely related with low dimensional topology. Satellite operators are one of the main tools in the study of knot concordance, and it has been wi...
    Category수학강연회 소속건국대학교 강연자김태희
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  7. <정년퇴임 기념강연> 작용소대수와 양자정보이론

    작용수대수에서 순서구조가 중요한 역할을 한다. C*-대수의 시작이라 할 수 있는 Gelfand-Naimark-Segal 표현정리는 양선형범함수로부터 *-준동형을 만들어내는데, 그 표현정리 이후 여러 가지 종류의 양사상에 대한 연구가 이루어졌다. 최근 활발하게 연구되...
    Category수학강연회 소속서울대학교 강연자계승혁
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  8. Entropy of symplectic automorphisms

    ※ 강연 뒷부분이 녹화되지 않았습니다. A symplectic manifold is a space with a global structure on which Hamiltonian equations are defined. A classical result by Darboux says that every symplectic manifold locally looks standard, so it has be...
    Category수학강연회 소속서강대학교 강연자김준태
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  9. 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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  10. Descent in derived algebraic geometry

    Among many different ways to introduce derived algebraic geometry is an interplay between ordinary algebraic geometry and homotopy theory. The infinity-category theory, as a manifestation of homotopy theory, supplies better descent results ...
    Category수학강연회 소속서강대학교 강연자조창연
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  11. Toward bridging a connection between machine learning and applied mathematics

    This lecture explores the topics and areas that have guided my research in computational mathematics and deep learning in recent years. Numerical methods in computational science are essential for comprehending real-world phenomena, and dee...
    Category수학강연회 소속성균관대학교 강연자홍영준
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  12. Vlasov-Maxwell equations and the Dynamics of Plasmas

    In this colloquium talk, we study the Vlasov-Maxwell equations, a collisionless model in the field of kinetic theory. The model is a fundamental model for the dynamics of plasmas and was introduced in 1938 by Vlasov. Due to the hyperbolic n...
    Category수학강연회 소속포항공과대학교 강연자장진우
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  13. Study stochastic biochemical systems via their underlying network structures

    When a biological system is modeled using a mathematical process, the following step is normally to estimate the system parameters. Despite the numerous computational and statistical techniques, estimating parameters for complex systems can...
    Category수학강연회 소속포항공과대학교 강연자김진수
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  14. <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학!

    지난 50년간 진행된 분자생물학의 혁명으로 인해 생명 시스템이 수많은 분자들의 상호작용으로 구성되어 있음을 알게 되었습니다. 이러한 복잡한 시스템을 이해하기 위해서는 현미경과 같이 생명현상을 관찰하는 도구와 함께 수학은 생명과학 분야에서 필수적...
    Category수학강연회 소속카이스트 강연자김재경
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  15. 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...
    Category수학강연회 소속연세대학교 강연자최성락
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  16. 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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  17. <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision

    In recent years, artificial intelligence has made remarkable progress in developing algorithms that can learn from vast amounts of carefully labeled data. This paradigm of supervised learning has made great success in training specialist mo...
    Category수학강연회 소속인하대학교 강연자현윤석
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  18. <학부생을 위한 강연> 수학과 보험산업

    Category수학강연회 소속라이나생명 강연자유신옥
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  19. Counting number fields and its applications

    It is a fascinating and challenging problem to count number fields with bounded discriminant. It has so many applications in number theory. We give two examples. First, we compute the average of the smallest primes belonging to a conjugacy ...
    Category수학강연회 소속UNIST 강연자조재현
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  20. Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications

    Machine learning (ML) has achieved unprecedented empirical success in diverse applications. It now has been applied to solve scientific problems, which has become an emerging field, Scientific Machine Learning (SciML). Many ML techniques, h...
    Category수학강연회 소속KAIST 강연자신연종
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