Selmer groups and stable orbits

n.t.tuan · 01-08-2010, 10:50 PM

August 6, 2010:

Speaker: Prof. Benedict H. Gross (VEF Lecturer, DH Havard, My)
Title: Selmer groups and stable orbits
Venue: Auditorium Room 301, Building A5
Time: 9:30

Abstract: The talk will begin with an overview of the recent work of Manjul Bhargava on the average ranks of elliptic curves over the rational numbers. Bhargava determines the average order of the 2-Selmer group by counting stable orbits in the representation of SL_2(Z) on the lattice of integral binary quartic forms. I will describe this orbit problem in slightly greater generality, using only elementary linear algebra, and will show how the 2-Selmer groups of hyperelliptic curves appear in its solution.

01-08-2010, 10:50 PM	#1
n.t.tuan +Thành Viên+ Tham gia ngày: Nov 2007 Bài gởi: 1,250 Thanks: 119 Thanked 616 Times in 249 Posts	Selmer groups and stable orbits August 6, 2010: Speaker: Prof. Benedict H. Gross (VEF Lecturer, DH Havard, My) Title: Selmer groups and stable orbits Venue: Auditorium Room 301, Building A5 Time: 9:30 Abstract: The talk will begin with an overview of the recent work of Manjul Bhargava on the average ranks of elliptic curves over the rational numbers. Bhargava determines the average order of the 2-Selmer group by counting stable orbits in the representation of SL_2(Z) on the lattice of integral binary quartic forms. I will describe this orbit problem in slightly greater generality, using only elementary linear algebra, and will show how the 2-Selmer groups of hyperelliptic curves appear in its solution. __________________ T.