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Extra Form
Lecturer 조재현
Dept. UNIST
date Nov 03, 2022

 

It is a fascinating and challenging problem to count number fields with bounded discriminant. It has so many applications in number theory. We give two examples. First, we compute the average of the smallest primes belonging to a conjugacy class. Second, we compute the average residue of the Dedekind zeta functions over the family of non-Galois cubic fields.

 

Atachment
Attachment '1'
  1. Existence of positive solutions for φ-Laplacian systems

  2. Essential dimension of simple algebras

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

  4. Entropy of symplectic automorphisms

  5. Entropies on covers of compact manifolds

  6. Elliptic equations with singular drifts in critical spaces

  7. Diophantine equations and moduli spaces with nonlinear symmetry

  8. Descent in derived algebraic geometry

  9. Deformation spaces of Kleinian groups and beyond

  10. Creation of concepts for prediction models and quantitative trading

  11. 08Nov
    by 김수현
    in Math Colloquia

    Counting number fields and its applications

  12. Counting circles in Apollonian circle packings and beyond

  13. Convex and non-convex optimization methods in image processing

  14. Contact topology of singularities and symplectic fillings

  15. Contact instantons and entanglement of Legendrian links

  16. Contact Homology and Constructions of Contact Manifolds

  17. Conservation laws and differential geometry

  18. Connes's Embedding Conjecture and its equivalent

  19. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  20. Congruences between modular forms

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