Sub navigation

• Seminars and Lectures
• Meetings and Conferences
• Other Events
• Visitor Information

Breadcrumb

Growth of p-Selmer groups of elliptic curves in cyclic extensions

Julio Brau
Cambridge

Linfoot

Organiser: Tim Browning

ABSTRACT
One fundamental invariant of an elliptic curve E is its Mordell-Weil rank, and there are many open questions and fascinating conjectures surrounding it. I will try to motivate the study of Selmer groups of elliptic curves, as well as talk about why they help us better understand ranks. After that I will discuss some results on the growth of Selmer ranks in certain cyclic extensions of number fields.