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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. Hybrid discontinuous Galerkin methods in computational science and engineering

  2. How to solve linear systems in practice

  3. High dimensional nonlinear dynamics

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

  5. Hamiltonian dynamics, Floer theory and symplectic topology

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

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

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

  9. Geometry, algebra and computation in moduli theory

  10. Geometric structures and representation spaces

  11. 29Apr
    by 김수현
    in 수학강연회

    Geometric Langlands theory: A bridge between number theory and physics

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

  13. Gaussian free field and conformal field theory

  14. From mirror symmetry to enumerative geometry

  15. Freudenthal medal, Klein medal 수상자의 수학교육이론

  16. Free boundary problems arising from mathematical finance

  17. Fixed points of symplectic/Hamiltonian circle actions

  18. Fermat´s last theorem

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

  20. Fano manifolds of Calabi-Yau Type

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