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Extra Form
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.


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List of Articles
Category Subject Dept. Lecturer
Math Colloquia Fixed points of symplectic/Hamiltonian circle actions file 부산대 수학과 장동훈
Math Colloquia A modified separation method to solve a heat-transfer boundary value problem file 서울대 경제학부 최병선
Math Colloquia Arithmetic of elliptic curves file 서울대 김도형
Math Colloquia <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
Math Colloquia Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
Math Colloquia The Lagrange and Markov Spectra of Pythagorean triples file 동국대학교 김동한
Math Colloquia A-infinity functor and topological field theory file Simons Center for Geometry and Physics Kenji Fukaya
Math Colloquia Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients file University of Illinois Renming Song
Math Colloquia Alice and Bob meet Banach and von Neumann file 서울대 이훈희
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia W-algebras and related topics file 서울대학교 서의린
Math Colloquia On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
Math Colloquia <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭 file 서울대학교 조철현
Math Colloquia 1 is big enough to understand 3 file 카이스트 백형렬
Math Colloquia Mathemaics & Hedge Fund file 지큐자산운용 김택근
Math Colloquia Unique ergodicity for foliations file Université Paris-Sud Nessim Sibony
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
Math Colloquia <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system file LG화학 안형준
Math Colloquia Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
Math Colloquia Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
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