https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 박지훈
Dept. 포항공과대학교
date Apr 07, 2011
The theory of L-functions and zeta functions have been the key subject of mathematical research during the centuries since the Riemann zeta function was introduced and its important connection to the arithmetic of the integer was recognized. Though vast generalizations of the Riemann zeta function (for example, L-functions attached to motives, Galois representations, and automorphic representations) have been discovered and studied by many mathematicians, they are still mysterious analytic invariants. One approach to understand the origin of L-functions and their relation to number theory is studying p-adic L-functions and the Iwasawa main conjectures for a prime number p. In this talk, I will start from the simplest p-adic L-functions (due to Kubota-Leopoldt) and explain the idea of Iwasawa main conjecture, which gives a direct connection between p-adic L-functions and certain arithmetic objects called characteristic ideals. Hopefully we will be able to see how p-adic aspects of L-functions give some insight to their connection to arithmetic.
Atachment
Attachment '1'
  1. 19Mar
    by 김수현
    in Math Colloquia

    <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학!

  2. 08Apr
    by 김수현
    in Math Colloquia

    Circular maximal functions on the Heisenberg group

  3. 01Jun
    by 김수현
    in Math Colloquia

    Entropy of symplectic automorphisms

  4. 2023-2 Mathematical Fluid Dynamics (김준하)

  5. 2021-2 Rookies Pitch: Number Theory (김지구)

  6. 28Mar
    by 김수현
    in Math Colloquia

    Study stochastic biochemical systems via their underlying network structures

  7. 01Apr
    by 김수현
    in Math Colloquia

    A dissipative effect on some PDEs with physical singularity

  8. 25Sep
    by 김수현
    in Math Colloquia

    Satellite operators on knot concordance

  9. 02May
    by 김수현
    in Math Colloquia

    Mathemaics & Hedge Fund

  10. 07Nov
    by Editor
    in Math Colloquia

    정년퇴임 기념강연: Volume Conjecture

  11. 08Jun
    by 김수현
    in Math Colloquia

    <학부생을 위한 ɛ 강연> 196884=196883+1

  12. 23Apr
    by 김수현
    in Math Colloquia

    행렬, 행렬함수 그리고 행렬방정식 (Matrix, Matrix Functions and Matrix Equations)

  13. 13Oct
    by 김수현
    in Math Colloquia

    Elliptic equations with singular drifts in critical spaces

  14. 17Oct
    by 김수현
    in Math Colloquia

    <정년퇴임 기념강연> The Elements of Euclid

  15. 07Nov
    by Editor
    in Math Colloquia

    학부생을 위한 강연: 브라질과 프랑스는 왜 축구를 잘 할까? - 경제와 수학과 축구와 법률

  16. 27Nov
    by 김수현
    in Math Colloquia

    Universality of log-correlated fields

  17. 2023-1 Symplectic Topology (노경민)

  18. 05Dec
    by 김수현
    in Math Colloquia

    High dimensional nonlinear dynamics

  19. 17Oct
    by 김수현
    in Math Colloquia

    WGAN with an Infinitely wide generator has no spurious stationary points

  20. 12Nov
    by 김수현
    in Math Colloquia

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

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15