数论及表示论|Some old and new results about singular moduli
Title: Some old and new results about singular moduli
Speaker： Prof. Dr. Yingkun Li (Technische Universität Darmstadt)
Time：14:30-16:00pm, Jan 6th, 2020(Monday)
Location：200-9，Sir Run Run Shaw Business Administration building
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.
About the Speaker: Dr. Yingkun Li specializes in the area of number theory and automorphic forms, and is currently a Junior Professor Doctor in Technische Universität Darmstardt, Germany. He has wide interest in the theory of number fields and also modular forms from varying topics, and has made significant contributions to this area of research. In particular, Dr. Li has published numerously in top journals such as Duke Mathematical Journal, JEMS, Mathematische Annalen, Compositio Mathematica, and Algebra & Number Theory, etc.
contact person：Gao Fan (firstname.lastname@example.org)