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Extra Form
Lecturer 선해상
Dept. UNIST
date Oct 31, 2019

Non-vanishing modulo a prime of special values of various $L$-functions are of great importance in studying structures of relevant arithmetic objects such as class groups of number fields and Selmer groups of elliptic curves. While there have been rich results on the complex non-vanishing of the special $L$-values in a quantitative viewpoint, i.e., the number of characters with a bounded conductor giving the non-vanishing, there were few results for the residual $L$-values. In the talk, I will present several results on the residual non-vanishing of Dirichlet and modular $L$-values.


Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Q-curvature in conformal geometry file 서강대 Pak Tung Ho
Math Colloquia Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
Math Colloquia Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
Math Colloquia Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
Math Colloquia Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
Math Colloquia Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
Math Colloquia Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
Math Colloquia Randomness of prime numbers file 서울대학교 임선희
Math Colloquia Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
Math Colloquia Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
Math Colloquia Regularity for non-uniformly elliptic problems file 경북대학교 오제한
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
Math Colloquia Regularity theory for nonlocal equations file 한양대학교 김민현
Math Colloquia Restriction theorems for real and complex curves file 포항공과대학교 박종국
Math Colloquia Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
Math Colloquia Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
Math Colloquia Satellite operators on knot concordance file 건국대학교 김태희
Math Colloquia Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
Math Colloquia Seifert fiberings file University of Oklahoma 이경배
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