BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tony Feng (MIT Mathematics) DTSTART:20201203T130000Z DTEND:20201203T140000Z DTSTAMP:20260423T005759Z UID:AGNTISTA/16 DESCRIPTION:Title: The geometric distribution of Selmer groups over function fields\nby Tony Feng (MIT Mathematics) as part of Algebraic Geometry and Number Theo ry seminar - ISTA\n\n\nAbstract\nMany interesting aspects of the arithmeti c of elliptic curves over global fields are governed by Selmer groups\, wh ich are cohomological approximations to the group of rational points. The statistical behavior of Selmer groups has been the focus of much recent st udy\, and there is a wide gap between what we can prove and what we believ e is true. On the one hand\, work of Bhargava and Shankar computes the ave rage size of 2\,3\,4\, and 5-Selmer groups. On the other hand\, Bhargava-K ane-Lenstra-Poonen-Rains conjecture a precise distribution for n-Selmer gr oups\, for any n. I will talk about a limiting situation\, in the function field context\, where the BKLPR distribution can actually be proved to mo del the distribution of Selmer groups. This is joint work with Aaron Lande sman and Eric Rains.\n LOCATION:https://researchseminars.org/talk/AGNTISTA/16/ END:VEVENT END:VCALENDAR