| Lecturer | 유화종 |
|---|---|
| Dept. | 서울대 |
| date | Sep 13, 2018 |
We introduce the notion of congruences (modulo a prime number) between modular forms of different levels. One of the main questions is to show the existence of a certain newform of an expected level which is congruent to a given modular form. (For instance, if a given modular form comes from an elliptic curve over the field of rational numbers, then this problem is known as "epsilon-conjecture".) We partially answer this question when a given modular form is an Eisenstein series.
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 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
Equations defining algebraic curves and their tangent and secant varieties
Essential dimension of simple algebras
