| 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.
Congruences between modular forms
Conformal field theory in mathematics
Conformal field theory and noncommutative geometry
Compressible viscous Navier-Stokes flows: Corner singularity, regularity
Combinatorial Laplacians on Acyclic Complexes
Codimension Three Conjecture
Cloaking via Change of Variables
Classical and Quantum Probability Theory
Class field theory for 3-dimensional foliated dynamical systems
Circular maximal functions on the Heisenberg group
Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds
Categorification of Donaldson-Thomas invariants
Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras
Brownian motion with darning and conformal mappings
Brownian motion and energy minimizing measure in negative curvature
Birational Geometry of varieties with effective anti-canonical divisors
Averaging formula for Nielsen numbers
Arithmetic of elliptic curves
Anomalous diffusions and fractional order differential equations
Analytic torsion and mirror symmetry
