Upcoming Talks

Ista white

The geometric distribution of Selmer groups over function fields

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date
Thursday, December 3, 2020 14:00 - 15:00
Speaker
Tony Feng (MIT Mathematics)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact

Many interesting aspects of the arithmetic of elliptic curves over global fields are governed by Selmer groups, which are cohomological approximations to the group of rational points. The statistical behavior of Selmer groups has been the focus of much recent study, and there is a wide gap between what we can prove and what we believe is true. On the one hand, work of Bhargava and Shankar computes the average size of 2,3,4, and 5-Selmer groups. On the other hand, Bhargava-Kane-Lenstra-Poonen-Rains conjecture a precise distribution for n-Selmer groups, for any n. I will talk about a limiting situation, in the function field context, where the BKLPR distribution can actually be proved to model the distribution of Selmer groups. This is joint work with Aaron Landesman and Eric Rains.
 


Qr image
Download ICS Download invitation
Back to eventlist