Manchester Number Theory Seminar - Jenny Roberts (KCL)
| Dates: | 28 April 2026 |
|---|
| Times: | 15:00 - 16:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, External researchers, Current University students |
|---|
|
Speaker: Jenny Roberts (KCL)
Title: Newform Eisenstein congruences of local origin
Abstract: The theory of Eisenstein congruences dates back to Ramanujan’s surprising discovery that the Fourier coefficients of the discriminant function are congruent to the 11th power divisor sum modulo 691. This observation can be explained via the congruence of two modular forms of weight 12 and level 1; the discriminant function and the Eisenstein series, E_{12}. Eisenstein congruences were later used by Ribet in his proof of the converse to Herbrand's theorem. In this talk, I will first discuss the steps Ribet used in his proof and then compare these steps to work in my thesis on congruences between Eisenstein series and newforms of weight k > 2, squarefree level and non-trivial character.
Room: Frank Adams 1
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
