June 23 (Wednesday) 2021 16:00 - 18:00, Building 110, Room N103

▶Speaker : Yeong-Wook Kwon (Sungkyunkwan University)

▶Title : Modularity of Galois traces of Weber's resolvents
▶Abstract : The values of the classical $j$-invariant at CM points are called singular moduli. Zagier proved that the Galois traces of singular moduli are Fourier coefficients of a weakly holomorphic modular form of weight $3/2$. The goal of this talk is to extend the Zagier's work. Namely, we construct the real-valued class invariants by using the modular functions defined by Weber's resolvents and identify their Galois traces with Fourier coefficients of a weight $3/2$ weakly holomorphic modular form by using Shimura's reciprocity law. This is a joint work with Ho Yun Jung, Chang Heon Kim and Soonhak Kwon.

UNIST Number Theory group 홈페이지에서도 아래와 같이 확인하실 수 있습니다.