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강연자 유필상
소속 서울대학교
date 2022-04-28

 

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

  2. Geometry, algebra and computation in moduli theory

  3. Geometric structures and representation spaces

  4. 29Apr
    by 김수현
    in 수학강연회

    Geometric Langlands theory: A bridge between number theory and physics

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

  6. Gaussian free field and conformal field theory

  7. From mirror symmetry to enumerative geometry

  8. Freudenthal medal, Klein medal 수상자의 수학교육이론

  9. Free boundary problems arising from mathematical finance

  10. Fixed points of symplectic/Hamiltonian circle actions

  11. Fermat´s last theorem

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

  13. Fano manifolds of Calabi-Yau Type

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

  15. Existence of positive solutions for φ-Laplacian systems

  16. Essential dimension of simple algebras

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

  18. Entropy of symplectic automorphisms

  19. Entropies on covers of compact manifolds

  20. Elliptic equations with singular drifts in critical spaces

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