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일정시작 2021-05-06
일정종료 2021-05-06
배경색상 #FF5733

Date: 6 May (Thr) 14:30 ~ 15:30

Place: Zoom (ID: 854 1988 1532)

Speaker : 강순이 (강원대학교)

Title: Arithmetic properties of weakly holomorphic modular functions of arbitrary level 

 

Abstract:

The canonical basis of the space of modular functions on the modular group of genus zero form a Hecke system. From this fact, many important properties of modular functions were derived. Recently, we have proved that the Niebur-Poincare basis of the space of Harmonic Maass functions also forms a Hecke system. In this talk, we show its applications, including divisibility of Fourier coefficients of modular functions of arbitrary level, higher genus replicability, and values of modular functions on divisors of modular forms.

This is a joint work with Daeyeol Jeon and Chang Heon Kim.

 

 

cf. 봄학기 정수론 세미나 웹페이지:  https://sites.google.com/view/snunt/seminars


List of Articles
번호 제목 글쓴이 날짜 조회 수
39 [Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma qsms 2021.05.28 185
38 [QSMS Monthly Seminar] Symmetric functions and super duality qsms 2021.05.28 162
37 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 344
36 [Seminar 2021.05.28] Ramanujan continued fractions of order sixteen qsms 2021.05.21 195
35 [Seminar 2021.05.18] The coherent-constructible correspondence for toric projective bundles qsms 2021.05.17 134
34 [Seminar 2021.05.13] Convergence of harmonic maps via regular nodes qsms 2021.05.12 141
33 [Seminar 2021.05.14] On some results about non-holomorphic Jacobi forms qsms 2021.05.11 124
32 [QSMS Monthly Seminar] Recoverable lattices qsms 2021.05.07 90
31 [Seminar 2021.05.12] Equivariant symplectic homology qsms 2021.05.06 106
30 [Seminar 2021.05.11] Knotted embeddings qsms 2021.05.06 149
» [Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level qsms 2021.05.04 84
28 [2021 KMS Spring Meeting] Related talks qsms 2021.04.30 126
27 [Seminar 2021.04.16] Hecke system of harmonic Maass functions and applications to modular curves of higher genera qsms 2021.04.19 139
26 [Seminar 2021.04.02] CM congruence and the derivatives of p-adic L-functions for imaginary quadratic fields qsms 2021.04.19 138
25 [Seminar 05.14, 05.21, 05.28, 06.04] Introduction to derived categories update qsms 2021.04.16 528
24 [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 175
23 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 205
22 [Seminar 2021.04.02] Quantum affine analog of Kazhdan-Lusztig positivity for non-simply laced types via simply laced types qsms 2021.03.30 192
21 [QSMS Monthly Seminar] A survey on symplectic fillings and Milnor fibers of a normal complex surface singularity qsms 2021.03.26 189
20 [Seminar 2021.03.19] Introduction to zeta functions of groups and rings qsms 2021.03.04 252
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