https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 Kim, Henry
소속 Univ. of Toronto / KIAS
date 2019-04-25

Unconditional results without an unproved hypothesis such as the generalized Riemann hypothesis (GRH) are very weak for an individual number field. But if we consider a family of number fields, one can prove just as strong results as we would assume GRH, in the form: (1) average result in the family; (2) the result is valid for almost all members except for a density zero set. We will explain this philosophy using examples of logarithmic derivatives of L-functions, residues of Dedekind zeta functions, and least primes in a conjugacy class.


Atachment
첨부 '1'
  1. 19Nov
    by Editor
    in 수학강연회

    Analytic torsion and mirror symmetry

  2. 14Oct
    by 김수현
    in 수학강연회

    Deformation spaces of Kleinian groups and beyond

  3. 05Nov
    by 김수현
    in 수학강연회

    A-infinity functor and topological field theory

  4. 07May
    by 김수현
    in 수학강연회

    Number theoretic results in a family

  5. 19May
    by 김수현
    in 수학강연회

    Quasi-homomorphisms into non-commutative groups

  6. 07Nov
    by Editor
    in 수학강연회

    Conservation laws and differential geometry

  7. 20May
    by 김수현
    in 수학강연회

    The classification of fusion categories and operator algebras

  8. 07Nov
    by Editor
    in 수학강연회

    Sheaf quantization of Hamiltonian isotopies and non-displacability problems

  9. 07Nov
    by Editor
    in 수학강연회

    Codimension Three Conjecture

  10. 07Nov
    by Editor
    in 수학강연회

    Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

  11. 13May
    by 김수현
    in 수학강연회

    Riemann-Hilbert correspondence for irregular holonomic D-modules

  12. 18Apr
    by 김수현
    in 수학강연회

    Convex and non-convex optimization methods in image processing

  13. 07Nov
    by Editor
    in 수학강연회

    A new view of Fokker-Planck equations in finite and Infinite dimensional spaces

  14. 01Nov
    by Manager
    in 수학강연회

    Unprojection

  15. 06Oct
    by 김수현
    in 수학강연회

    Class field theory for 3-dimensional foliated dynamical systems

  16. 07Nov
    by Editor
    in 수학강연회

    Connes's Embedding Conjecture and its equivalent

  17. 02Jun
    by 김수현
    in 수학강연회

    Recent progress on the Brascamp-Lieb inequality and applications

  18. 18Apr
    by 김수현
    in 수학강연회

    Unique ergodicity for foliations

  19. 26Sep
    by 김수현
    in 수학강연회

    Idempotents and topologies

  20. 01Nov
    by Manager
    in 수학강연회

    Contact Homology and Constructions of Contact Manifolds

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