Ana Caraiani – Imperial College Department of Mathematics
Elliptic curves and modularity
12 Mart 2024 Salı 09:00 (New York) / 13:00 (Londra) / 16:00 (İstanbul)
The goal of this talk is to give you a glimpse of the Langlands program, a central topic at the intersection of algebraic number theory, algebraic geometry and representation theory. I will focus on a celebrated instance of the Langlands correspondence, namely the modularity of elliptic curves. In the first part of the talk, I will give an explicit example, discuss the different meanings of modularity for rational elliptic curves, and mention applications. In the second part of the talk, I will discuss what is known about the modularity of elliptic curves over more general number fields.
Zoom bağlantısı: https://us06web.zoom.us/j/82062425195
Meeting ID: 820 6242 5195