Seminar: Reduction Theory for cubic and quartic forms

Thời gian: 13:00 đến 16:00 Ngày 09/05/2025

Địa điểm: Phòng C102, VIASM, 157 phố Chùa Láng, Hà Nội

Báo cáo viên: Đào Phương Bắc (VNU University of Science, Hanoi)

Tóm tắt: Let $G$ be the group $GL_{2}(Z)$ acting naturally on the vector space which consists of binary forms over the field of real numbers. In this talk, I present the way (due to J. Cremona) to find a convenient domain for the action of $G$ on the vector spaces of binary cubic (as well as quartic) forms. This is a step in the landmark work on the boundedness of the average rank of elliptic curves due to Bhargava-Shankar (2015).