Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

B.Z. Moroz
Zugehörigkeit:

Bonn
Datum:

Don, 18/03/2010 - 15:00 - 16:00 About 10 years ago the methods developed by A.Wiles, R. Taylor, and their collaborators led to the proof of the modularity of the elliptic curves defined over the field of rational numbers. In a recent work Dielefait, Gueberooff, and Pacetti developed a new method, allowing to compare two 2-dimensional l-adic Galois representations, and applied their method to prove modularity of three elliptic curves defined over an imaginary quadratic field. To illustrate that method, I shall outline a proof of modularity of another elliptic curve over an imaginary quadratic field, making use of the recent calculations of M.Mink.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/3444

[3] http://www.mpim-bonn.mpg.de/de/node/158