강연주제: Galois trace and modular trace of class invariants
연사 : 강순이 박사
소속 : ASARC
날짜 : 10월 15일 수요일 (16:30~17:30)
장소 : ASARC 세미나실 (#1409)
초록 : Zagier showed that the traces of singular values of the modular
j-invariant are Fourier coefficients of a weakly holomorphic modular form
of weight 3/2 and Bruinier and Funke generalized this result by defining
modular traces of arbitrary weakly holomorphic modular functions so that
they are Fourier coefficients of the holomorphic part of a harmonic weak
Maass form.
In this talk, we show that the modular traces coincide with Galois traces
in the case of Webers' class invariants.
As a result, we can show that there is a divisibility property on the Galois
trace of the class invariants.
This is a joint work with Daeyeol Jeon and Chang Heon Kim.