| 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.
Conformal field theory and noncommutative geometry
Conformal field theory in mathematics
Congruences between modular forms
Connectedness of a zero-level set as a geometric estimate for parabolic PDEs
Connes's Embedding Conjecture and its equivalent
Conservation laws and differential geometry
Contact Homology and Constructions of Contact Manifolds
Contact instantons and entanglement of Legendrian links
Contact topology and the three-body problem
Contact topology of singularities and symplectic fillings
Convex and non-convex optimization methods in image processing
Counting circles in Apollonian circle packings and beyond
Counting number fields and its applications
Creation of concepts for prediction models and quantitative trading
Deformation spaces of Kleinian groups and beyond
Descent in derived algebraic geometry
Diophantine equations and moduli spaces with nonlinear symmetry
Elliptic equations with singular drifts in critical spaces
Entropies on covers of compact manifolds
Entropy of symplectic automorphisms
