| 강연자 | 유화종 |
|---|---|
| 소속 | 서울대 |
| date | 2018-09-13 |
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.
Symplectic Geometry, Mirror symmetry and Holomorphic Curves
<학부생을 위한 ɛ 강연> Intuition, Mathematics and Proof
<학부생을 위한 ɛ 강연> Geometry and algebra of computational complexity
Number theoretic results in a family
행렬, 행렬함수 그리고 행렬방정식 (Matrix, Matrix Functions and Matrix Equations)
Circular maximal functions on the Heisenberg group
Fixed points of symplectic/Hamiltonian circle actions
A modified separation method to solve a heat-transfer boundary value problem
Arithmetic of elliptic curves
<학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces
Trends to equilibrium in collisional rarefied gas theory
The Lagrange and Markov Spectra of Pythagorean triples
A-infinity functor and topological field theory
Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients
Algebraic surfaces with minimal topological invariants
A wrapped Fukaya category of knot complement and hyperbolic knot
Alice and Bob meet Banach and von Neumann
Congruences between modular forms
W-algebras and related topics
On function field and smooth specialization of a hypersurface in the projective space
