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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. Equations defining algebraic curves and their tangent and secant varieties

  2. Essential dimension of simple algebras

  3. Existence of positive solutions for φ-Laplacian systems

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

  5. Fano manifolds of Calabi-Yau Type

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

  7. Fermat´s last theorem

  8. Fixed points of symplectic/Hamiltonian circle actions

  9. Free boundary problems arising from mathematical finance

  10. Freudenthal medal, Klein medal 수상자의 수학교육이론

  11. From mirror symmetry to enumerative geometry

  12. Gaussian free field and conformal field theory

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

  14. 29Apr
    by 김수현
    in 수학강연회

    Geometric Langlands theory: A bridge between number theory and physics

  15. Geometric structures and representation spaces

  16. Geometry, algebra and computation in moduli theory

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

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

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

  20. Hamiltonian dynamics, Floer theory and symplectic topology

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