Extra Form
강연자 박지훈
소속 포항공과대학교
date 2011-04-07
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.
첨부 '1'
  1. L-function: complex vs. p-adic

  2. 07Nov
    by Editor
    in 수학강연회

    Iwasawa main conjecture and p-adic L-functions

  3. Iwahori-Hecke algebras and beyond

  4. It all started with Moser

  5. Irreducible Plane Curve Singularities

  6. Introduction to Non-Positively Curved Groups

  7. Integer partitions, q-series, and Modular forms

  8. Infinite order rationally slice knots

  9. Ill-posedness for incompressible Euler equations at critical regularit

  10. Idempotents and topologies

  11. Hybrid discontinuous Galerkin methods in computational science and engineering

  12. How to solve linear systems in practice

  13. High dimensional nonlinear dynamics

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

  15. Harmonic bundles and Toda lattices with opposite sign

  16. Hamiltonian dynamics, Floer theory and symplectic topology

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

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

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

  20. Geometry, algebra and computation in moduli theory

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