Some old and new results about singular moduli
Time: Mon, 30 Dec 2019, 13:30-14:30
Place: First conference room at the 1st floor, Jinchunyuan West Building
Speaker: Yingkun Li (Technische Universität Darmstadt)
Abstract:
The values of the modular j-invariant at CM points are called singular moduli. They have been known to be algebraic integers since the time of Kronecker and Weber. Recently, Bilu-Habegger-Kühne showed that these are not units. In this talk, we will apply the results of Gross-Zagier, Gross-Kohnen-Zagier and their generalizations to give a short proof of this result.