?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
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
공지 QSMS Mailing List Registration qsms 2021.09.09 4785
65 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 1513
64 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 1728
63 [BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs qsms 2022.03.14 1509
62 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 1546
61 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 1763
60 [BK21-QSMS Toric Geometry Seminar] Moment Polytope qsms 2022.01.03 1740
59 [QSMS Monthly Seminar] Introduction to finite-dimensional representations of quantum affine algebras qsms 2021.12.03 1626
58 [QSMS Seminar 14,16 Dec] A brief introduction to differential graded Lie algebras I, II qsms 2021.11.29 1987
57 [SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry qsms 2021.11.19 1698
56 [QSMS 위상기하 세미나 2021.11.25] Exotic families of Weinstein manifolds with Milnor fibers of ADE types qsms 2021.11.19 1682
55 [SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility file qsms 2021.10.29 2172
54 [QSMS Monthly Seminar] Quantum entanglement entropy in abelian arithmetic Chern-Simons theory qsms 2021.10.29 1717
53 [SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions qsms 2021.10.20 1812
52 [QSMS Seminar 2021.10.26, 10.28] Feigin-Semikhatov duality in W-superalgebras qsms 2021.10.13 1607
51 [2021 KMS Annual Meeting] Related talks qsms 2021.10.05 1841
50 [QSMS Monthly Seminar] Smoothing of Fano varieties and mutations qsms 2021.09.23 1763
49 [QSMS Seminar 2021.10.12, 10.14] Vertex algebras and chiral homology I and II qsms 2021.09.23 1752
48 [QSMS Seminar 2021.09.30] Schur-Weyl duality, old and new & Quantum symmetric pairs and Schur-type dualities qsms 2021.09.10 2193
47 [SNU Number Theory Seminiar] 2021.10.15 qsms 2021.09.09 1943
46 [QSMS 기하/위상 세미나 2021.09.06] The mirror P=W conjecture from homological mirror symmetry of Fano manifolds qsms 2021.09.03 1829
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8