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강연자 유필상
소속 서울대학교
date 2022-04-28

 

※ 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 which relate algebraic geometry, algebraic number theory, harmonic analysis, and representation theory among other things. The geometric Langlands program was discovered as a geometric analogue of the Langlands program. In recent years, it has been discovered that the geometric Langlands program has another unexpected origin in the ideas of quantum field theory, which is the best existing framework of physics in describing our universe on the micro scale. In this talk, we aim to provide a global overview of this giant program and mention some applications of quantum field theory to the geometric Langlands program.

  1. Heavy-tailed large deviations and deep learning's generalization mystery

  2. Harmonic bundles and Toda lattices with opposite sign

  3. Hamiltonian dynamics, Floer theory and symplectic topology

  4. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

  5. Green’s function for initial-boundary value problem

  6. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

  7. Geometry, algebra and computation in moduli theory

  8. Geometric structures and representation spaces

  9. 29Apr
    by 김수현
    in 수학강연회

    Geometric Langlands theory: A bridge between number theory and physics

  10. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  11. Gaussian free field and conformal field theory

  12. From mirror symmetry to enumerative geometry

  13. Freudenthal medal, Klein medal 수상자의 수학교육이론

  14. Free boundary problems arising from mathematical finance

  15. Fixed points of symplectic/Hamiltonian circle actions

  16. Fermat´s last theorem

  17. Fefferman's program and Green functions in conformal geometry

  18. Fano manifolds of Calabi-Yau Type

  19. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

  20. Existence of positive solutions for φ-Laplacian systems

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